Mathematics High School

## Answers

**Answer 1**

**Compare and contrast **the process of graphing a **radical function** using transformations with graphing a quadratic function using transformations.

**What distinguishes glide reflection from reflection?**

An interchange of points from one side of a line with points on the other side of the mirror at the same **distance **from the mirror occurs when a mirror line is fixed in the plane. There is a mirror line in every **reflection**. A **glide reflection** is a mirror reflection that is followed by a parallel translation to the mirror.

**What do the three reflections that make up the glide reflection look like?**

**Glide reflections** and triple line reflections. The combination of the three line **reflections Rw Rv Ru** constitutes a line reflection if u, v, and w are concurrent or parallel. We'll now show this theorem to be true. If u, v, and w are not parallel or contemporaneous, the arrangement of the three line reflections **Rw Rv Ru** is a glide reflection.

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## Related Questions

Give the domain and range of the quadratic function whose graph is described.

The vertex is (-5, -8) and the parabola opens up.

The domain of f is ?

### Answers

The domain of f is [-5, ∞) because the **vertex** is the global minimum of a **parabola** that opens up.

The domain of any polynomial, including quadratics, is (–∞, ∞).

The domain** **of a parabola is always all **real numbers** (sometimes written (−∞,∞). The domain is all real numbers because every single number on the x− axis results in a valid **output **for the function (a quadratic).

When x=−b2a, y=c−b24a. Therefore the maximum or minimum value of the **quadratic** is c−b24a. Whether it is the maximum or minimum can be determined by examining the sign of a. If a is positive, then the range is y≥c−b24a

Hence, The range here is [-5, ∞), because the **vertex** is the global minimum of a parabola that opens up, and the global minimum is the **lowest **value.

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If two coplanar lines are cut by _________ so that a pair of alternate interior angles are _,_____ then the two lines are parallel.

### Answers

If two coplanar lines are cut by **a transversal **so that a pair of alternate interior angles are **equal** then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the **transversal **and are both either internal or exterior are called **alternate angles**.

In geometry, a** transversal line** is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two **transverse lines** meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered **parallel** if and only if all pairs of **alternative interior angles** in any transversal are equal.

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A building in a city has a rectangular base. The length of the base measures 75 ft less than twice the width. The perimeter of this base is 840 ft. What are the dimensions of the base?

### Answers

The **dimensions** of the base are **180 feet in length** and **165 feet in width**.

Let the width of the base be "x".The length of the base is 75 less than twice the width.The length of the base is 2x-75.The **perimeter** of the base is given to be 840 feet.The perimeter of a rectangular base is twice the sum of its length and its width.The perimeter of a **rectangular** base is 2[tex]\times[/tex][(2x-75) + x].840 = 2[tex]\times[/tex](3x-75)420 = 3x-753x = 495x = 165Thus, the width is 165 feet.The length is equal to 2(165-75) = 2[tex]\times[/tex]90 = 180 feet.

The whole length of any closed shape's boundary is known as its **perimeter.** Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the **perimeter-**finding notion without even realizing it.

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What is a y -intercept? How is a y -intercept different from an x -intercept?

### Answers

When a graph crosses the **y-axis**, that location is known as the **y-intercept.** It is, in other words, the value of **y at x=0.**

What is a y -intercept?

When a graph crosses the y-axis, that location is known as the y-intercept. It is, in other words, the value of y at x=0. In addition to being the length of the **perpendicular** that is drawn from the point to the x-axis, it is the value of y at the **coordinates (x, y).** It is, in other words, the **vertical distance **between the point and the x-axis.

How is a y -intercept different from an x -intercept?

An address that aids in locating a spot in two dimensions of space are the **X and Y coordinates.** Any point in the **coordinate** **plane** is denoted by the **coordinates** **(x, y)**, where the x value represents the point's location in relation to the x-axis and the y value represents its position in relation to the y-axis.

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please help will give out brainlist

### Answers

Because the line PQ is **perpendicular **to line ST, the **slope **of line ST is -1

How to determine the slope of ST?

The **points **are given as

P = (1, 4)

Q = (-2, 1)

Start by calculating the **slope** (m) of ST using

m = (y2 - y1)/(x2 - x1)

This gives

m = (1 - 4)/(-2 - 1)

Evaluate the difference

m = -3/-3

Evaluate the **quotient**

m = 1

From the question, we have

Line PQ is **perpendicular **to line ST

This means that

Slope of ST = -1/Slope of PQ

This gives

Slope of ST = -1/1

Evaluate

Slope of ST = -1

Hence, the **slope **of line ST is -1

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It is important to check your credit card bill each month. In the next section, you will carefully examine a credit card statement and learn how to look for errors. Most people would notice a major, expensive purchase that they did not make. A smaller, incorrect charge of $6, for example, might go unnoticed unless the entire statement was checked with a calculator. If one million credit card holders were each overcharged $6 each month for five years, what would be the total amount that debtors were overcharged, not including the extra

finance charges? million

### Answers

The total **amount **that debtors are overcharged is 360 million dollars.

The **unitary method** is a technique to find the necessary value by **multiplying **the single unit value by finding the value of single unit value. We will use the same technique to solve this problem

According to question, $6 is charged per month for 5 years period from 1 million credit card holders

so, the total amount will be

1000000 × $6 × 12 × 5 = $360000000

Final answer: amount will be 360 million dollars

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−3/8+(−2

9/10)

Enter your answer as a simplified fraction

### Answers

The **simplied **form of the given **fraction **will be -3 11/40.

What are proper and improper fractions and how to convert mixed fraction to simple fraction?

There is a fraction, containing **numerator**(upper value) and **denominator**(lower value). When the numerator is less than the denominator, the fraction is called **proper **fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1 an **improper **fraction is ≥ 1. A mixed fraction contains a sum of whole number and a proper **fraction**.

WE have been given an **expression **as;

−3/8+(−2 9/10)

Then first we will solve the **mixed fraction**;

−2 9/10 = -29/10

Now solve the **fraction**;

−3/8+-29/10

-131/40

In **mixed **number form:

-3 11/40

Hence, The **simplied **form of the given **fraction **will be -3 11/40.

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[ Brainliest ]

Apply it! The measure of each central angle of a regular 36-sided polygon is ___ degrees.

### Answers

**Answer:**

10

**Step-by-step explanation:**

there’s 360 degrees in a full circular area, so dividing it by 36 sides equals 10 degrees each.

Find the area of this shape.

6

13

Diagram NOT to scale

The units of the dimensions are m.

Give your answer in m².

m²

### Answers

**Answer:**

78m

**Step-by-step explanation:**

6×13

78

not too sure tho

A restaurant has 10 booths that will seat up to 4 people each. If 20 people are seated in booths, and NO booths are empty, what is the greatest possible number of booths that could be filled with 4 people?

### Answers

**Answer: 3**

**Step-by-step explanation:**

x+y=10

4x+10-y=20

y=10-y

4x+10-x=20

3x=20-10=10

x=10/3= 3.33

Round down(x)=3

Find the distance from the line to the given point.

y=1/6x+6,(-6,5)

### Answers

The **distance** from the line [tex]y=\frac{1}{6} x+6[/tex] to the given point (-6,5) is o units .

**Distance Formula **: the distance between the line ax+by+c=0 and the point (p,q) is given by the formula

[tex]d=\frac{|ap+bq+c|}{\sqrt{a^{2} +b^{2} } }[/tex]

In the given question the equation of line is [tex]y=\frac{1}{6} x+6[/tex]

taking LCM and solving further

[tex]y=\frac{x+36}{6} \\ \\ 6y=x+36\\ \\ x-6y+36=0[/tex] ⇒equation of the line .

Given point (-6,5)

from above values we found that a=1 , b = -6 , c=36, p=-6, q=5.

Substituting the values in distance formula we get

[tex]d=\frac{|1*(-6)-6*5+36}{\sqrt{1^{2} +(-6)^{2} } }[/tex]

[tex]=\frac{|-6-30+36|}{\sqrt{37} }[/tex]

[tex]=\frac{-36+36}{\sqrt{37} }[/tex]

[tex]=0[/tex]

Therefore , the distance from the line [tex]y=\frac{1}{6} x+6[/tex] to the given point (-6,5) is **0 units.**

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PLEASE HELP

PLEASE SHOW HOW U CHECKED UR WORK

also show regular work

pls i need help

### Answers

**Answer:**

**Step-by-step explanation:**

3

2

−

2

3

y+

3

1

y+4=0

Combine −

2

3

y and

3

1

y to get −

6

7

y.

3

2

−

6

7

y+4=0

Convert 4 to fraction

3

12

.

3

2

−

6

7

y+

3

12

=0

Since

3

2

and

3

12

have the same denominator, add them by adding their numerators.

3

2+12

−

6

7

y=0

Add 2 and 12 to get 14.

3

14

−

6

7

y=0

Subtract

3

14

from both sides. Anything subtracted from zero gives its negation.

−

6

7

y=−

3

14

Multiply both sides by −

7

6

, the reciprocal of −

6

7

.

y=−

3

14

(−

7

6

)

Multiply −

3

14

times −

7

6

by multiplying numerator times numerator and denominator times denominator.

y=

3×7

−14(−6)

Do the multiplications in the fraction

3×7

−14(−6)

.

y=

21

84

Divide 84 by 21 to get 4.

y=4

Feeling Generous

4*4*2

*= times

### Answers

**Answer: 32 Times**

**Step-by-step explanation:**

4 * 4 * 2 = 32

**Answer: 32 **

**Step-by-step explanation: **

**4*4=16**

**16*2=32**

**or just look it up on whatever browser your using.**

Record your answers on the answer sheet provided by your teacher or on a sheet of paper.

Suppose the length of one diagonal of a kite is three times the length of the other diagonal. If the area of the kite is 96 square inches, what are the lengths of the diagonals? Show your work.

### Answers

**The lengths of the diagonals are 8 and 24 **

**Area of kite :**

Area of kite is the space enclosed by a **kite. **A **kite **is a quadrilateral in which two pairs of adjacent sides are equal. The elements of a kite are its 4 angles, its 4 sides , and 2 diagonals.

In the given statement is :

Suppose the length of one** diagonal **of a **kite** is three times the length of the other **diagonal**. If the** area of the kite** is 96 square inches.

And, to find the **lengths of the diagonals.**

Now, **Area of the kite **is 96 sq. inches.

The length of one diagonal of a kite is x

and, other diagonal is three times to other diagonal

So, d2 = 3x

The **area of a kite = **1/2 x (d1) x (d2)

96 = 1/2 × x × 3x

96 = [tex]\frac{3x^{2} }{2}[/tex]

192 = [tex]3x^{2}[/tex]

64 = x^2

x = [tex]\sqrt{64}[/tex]

x = 8

Therefore, **The length of one diagonal is 8 **

and, **other length of diagonal is 3x = 3x 8 = 24 **

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transformation geometry definition

### Answers

**Answer:**

In mathematics, transformation geometry (or transformational geometry) is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of geometric transformations, and properties that are invariant under them.

**Step-by-step explanation:**

in easy language it's Transformations. Transformation means to change. Hence, a geometric transformation would mean to make some changes in any given geometric shape.

Find the value of each variable (3x+31)° (2x-6)°

### Answers

**Answer:**

**x = 31°**

**Step-by-step explanation:**

Angle (3x+31)° and angle (2x-6)° are supplementary angles

(3x + 31)° + (2x - 6)° = 180°

5x + 25° = 180°

5x = 155°

**x = 31°**

-----------------

check

3 * 31 + 31 + 2 * 31 - 6 = 180

**180 = 180 ** (remember PEMDAS)

the answer is good

Question 9 of 10

How many dimensions does a point have?

OA. Zero

B. Two

C. Three

D. One

SUB

### Answers

**Answer: A**

**Step-by-step explanation: took the quiz got it right**

The answer would be A

Find the indicated measure. Round to the nearest tenth.

Find the diameter of a circle with an area of 79 square feet.

### Answers

The diameter of circle is **10.0 feet. **

We are given the **area** of circle. The formula of area with respect to diameter is as follows -

Area = 1/4πd², where d represents diameter of circle.

Taking the value of π as 3.14.

Rewriting the equation according to diameter -

d² = (area×4)÷π

Now, keep the values in formula to find the diameter of **circle**.

d² = (79×4)÷3.14

Performing multiplication on the Right hand side of the equation

d² = 316÷3.14

Performing division on the Right hand side of the equation

d² = 100.6

d = √100.6

Taking square root on the Right hand side of the equation

d = 10.03 feet

Rounding to nearest tenth -

d = 10.0 feet

Hence, the diameter of circle is **10.0 feet. **

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Which expression is equivalent to 3(4.26y − 5.07)?

### Answers

**Answer:**

**12.78y -15.21**

Simplify each expression. 3[2(x-3)+2]+5(x-3)

### Answers

The simplified form of the given **expression** 3[2(x - 3) + 2] + 5(x - 3) is 12x - 63.

According to the given question.

We have an** expression** 3[2(x - 3) + 2] + 5(x - 3).

To simplify the above **expression** we will use the distributive law and add and subtract the like terms.

Therefore,

3[2(x - 3) + 2] + 5(x - 3)

= 3[2x - 6 + 5x - 15] (distributive rule)

= 3[7x - 21] (adding the like terms)

= 21x - 63

Therefore, the simplified form of the given **expression** 3[2(x - 3) + 2] + 5(x - 3) is 12x - 63.

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betty worked at the golf course during the summer after 8th grade. after working for 2 weeks she added her earnings to the gifts she got for graduation and found she had $750. after four more weeks of work she had a total of 870$.

Plss help immidiatly

What does the y intercept represent in this situation?

Write the equation in slope intercept form

### Answers

The **y-intercept **is the amount she got as** gifts during her graduation. **

The equation in **slope intercept form **is $630 + $60b

What does the y-intercept represent?

The **slope intercept form **is used to write equations for equations for **linear equations **with two variables. The graph for a **slope intercept form **is a straight line.

The form for **slope intercept form **is: y = mx + b

Where:

y = y coordinatem = slopex = x coordinateb = y intercept

The **y-intercept **is the constant. It represents the point where the slope touches the y-axis.

The first step is to determine how much are** earnings** are and how much the **gift **is.

The equations that would be used to determine this are:

a +2b = 750 **equation 1 **

a + 4b = 870 **equation 2 **

Where:

a = gift

b = amount earned weekly while working on the golf course

Subtract **equation 2 **from **equation 1: 2**b = 120

Divide both sides of the equation by 4: b = $60

Substitute for b in equation 1

a + 2(60) = 750

a + 120 = 750

a = 750 - 120

a = 630

The **y-intercept **is $630.

The **equation **in **slope intercept form **is: $630 + $60w

Where w is the number of weeks that Betty works.

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You roll 3 dice. What is the probability that the outcome of at least two of the dice will be less than or equal to 4 ? Explain your reasoning.

### Answers

**6 out of 36 or I in 6 ** is the **probability **that the outcome of at least two of the dice will be less than or equal to 4 .

**In statistics, what does a probability mean?**

The **probability **serves as a gauge for how likely an event is to occur. It gauges how likely an event is. **P(E) **= Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: **classical, empirical, subjective and axiomatic.**

There are 36 possible outcomes for rolling two dice.

There are six possible ways that the two dice will land on the same number, so the probability is 6 out of 36 or I in 6.

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Alan is putting weed killer on a field to get it ready for planting. the directions on the container say to use of a quart for each acre of land. how much weed killer will alan need for two fields, one that is acres and one that is acres? a. quarts b. quarts c. quarts d. quarts

### Answers

The required amount of weed killer is **48.6 quarts. **

To find the amount of **weed killer** required, first we will find the total acres of land of two fields.

So, total area of land is -

Area of land = [tex]22\frac{1}{2} + 38\frac{1}{4}[/tex]

Converting mixed fraction to fraction

Area of land = ((2×22)+1)÷2 + ((4×38)+1)÷4

Solving the bracket -

Area of land = 45÷2 + 153÷4

Area of land = 22.5 + 38.25

Area of land = 60.75 acres

Now, for 1 acre of land the required amount of weed killer = 0.8 quarts

So, for 60.75 **acres** of land the required amount of weed killer = 0.8×60.75

Performing multiplication to find the amount of weed killer

Amount of weed killer required = 48.6 quarts

Hence, the amount of weed killer required is **48.6 quarts. **

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The complete question is -

Alan is putting weed killer on a field to get it ready for planting. The directions on the container say to use 4/5 of a quart for each acre of land. How much weed killer will Alan need for two fields, one that is 22 1/2 acres and one that is 38 1/4 acres?

1. How would you write 2 × 2 × 2 using exponents?

(1 point)

02×3

023

032

2. Rewrite the following expression using exponents.

3×3 × 3× 3 × 3 x3

(1 point)

036

035

O

63

3. What is the value of 4”4? (1 point)

016

064

0256

4. What is the value of 9”2? (1 point)

018

081

0729

5. What is the value of 8”3

024

064

0512

### Answers

**Answer:**

[tex]1) \: {2}^{3} \\ 2) \: {3}^{6} \\ 3) \: {4}^{4} = 4 \times 4 \times 4 \times 4 = 256[/tex]

Directions: If the statement is true, circle true. If the statement is false, circle false.

15. √115 is between the integers 10 and 11.

TRUE

FALSE

### Answers

True it true 10 and 11

A new cell phone sold for $200, which was 200% of the actual cost. What is the actual price of the cell phone?

### Answers

**Answer:**

**Step-by-step explanation:**

200 / 2 = $100

Answer is $100 original cost

Step by step

You know the total price is $200

You know the increase is 200% of x unknown

Your equation is 200% x = $200

Change your percent to a decimal by moving your decimal point two places to the left

200% = 2.00

2.00x = $200

Divide both sides by 2.00 to solve for x

2.00/ 2.00 x =$200 / 2.00

x = $100

Problem solved

What sets (types or categories) of numbers do we use as the input to functions that represent sequences?

### Answers

**Answer:**

electrical is a good servant but master

Write an equation in slope-intercept form for each line.

(4,-1) and (-2,-1)

### Answers

With each line, a **slope-intercept relationship** (4,-1) and (-2,-1).

**Y = 0 ,X = 5.**

What is slope-intercept form?

The **slope**-**intercept** **form** is just a means of stating a line's equation so that both the slope (steepness) as well as y-intercept (where another line crosses this same **vertical** y-axis) are obvious. This **expression** is frequently referred to as** y = mx + b.**

According to the given information:

To begin, are using the slope formula to figure out the **average** **slope** between two points here.

Let:

x1 = 4

y1 = -1

x2 = -2

y2 = -1

m = (y2-y1)/(x2-x1)

= (-1 - (-1))/ (4-(-1))

= 0/5

= 0

So the slope is 0.

We must now calculate the y-intercept. This will be accomplished by converting a single of the points and also the **slope** together into apoint-slope **linear** **equation**. y2-y1 = m(x2-x1).

Let’s plug in the point (5,0).

So we get y-(-0) = (0/5)(x-(-5)) ⇒ y+0

= (0/5)x + 0 ⇒ y

So,

Y = 0

X = 5

with each line, a **slope**-**intercept** **relationship** (4,-1) and (-2,-1).

Y = 0 ,X = 5

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can anyone help me on this question the image is below and the chocies are

A.(0,4)

B.(0,16)

C.(2,12)

D.(4,0)

E.(12,2)

F.(16,0)

### Answers

The answer is F bc the bottom is under the 2 which is 0

Given h(x) = -x + 5, find h(-5).

### Answers

h(x)=-(-5)+5= 10 answer (10)