Mathematics High School

What is the distance between points (-7, 8) and (2, 8)? ​

Answers

Answer 1

Answer:

Exact Form:

2 √ 34

Decimal Form:

11.66190378

Answer 2

The distance between points (-7, 8) and (2, 8) is 9 units.

Formula to calculate distance between two points:

The distance d between two points [tex](x_{1},y_{1}),(x_{2},y_{2})[/tex] is,[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2} }[/tex]

For given question,

Let [tex](x_{1},y_{1}) = (-7,8),(x_{2},y_{2})=(2,8)[/tex]

Let d be the distance between two points.

Using distance formula,

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1})^{2}[/tex]

[tex]d=\sqrt{(2-(-7))^{2}+ (8-8)^{2} }[/tex]

[tex]d=\sqrt{(2+7)^{2}+0^{2}[/tex]

[tex]d=\sqrt{9^{2}+0 }[/tex]

[tex]d=9[/tex]  units

Hence, the distance between points (-7, 8) and (2, 8) is 9 units.

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Related Questions

3/5b + (-1/2) = 1/4
solve for the variable.

Answers

Answer:

Step-by-step explanation:

(3b)/5-1/2=1/4

(3b)/5=1/4+1/2

(3b)/5=1/4+(1/2)(2/2)

(3b)/5=1/4+2/4

(3b)/5=3/4

3b=15/4

b=5/4

b=1.25

A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?

Answers

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)


A road is inclined at an angle of 6°. After driving 5,440 feet
along this road, find the driver's increase in altitude. Round to
the nearest foot.
The driver's increase in
altitude is ____ ft.


A. 5,410
B. 569
C. 52,043
D. 572

Answers

Answer:  B)  569 feet

========================================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(6) = a/5440

5440*sin(6) = a

a = 5440*sin(6)

a = 568.634840176034

a = 569 feet, which shows why choice B is the answer.

This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5

side note: 569 feet is roughly equal to 0.1078 miles.

The driver's increase in altitude is 569 feet.

Given that,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

We have to determine,

The driver's increase in altitude?

According to the question,

A road is inclined at an angle of 6°.

After driving 5,440 feet along this road,

The inclination is determined by using the sin angle.

Therefore,

The driver's increase in altitude is,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\[/tex]

Where Perpendicular = a, angle = 6 degree and hypotenuse = 5,440ft.

Substitute all the values in the formula,

[tex]\rm Sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\\\rm Sin6 = \dfrac{a}{5440}\\\\\rm 0.104= \dfrac{Perpendicular}{5440}\\\\Perpendicular = 5440 \times 0.104\\\\Perpendicular = 569 \ feet[/tex]

Hence, The driver's increase in altitude is 569 feet.

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Pllssss hellpppppppppp plssss

Answers

Answer:

Step-by-step explanation:

WE KNOW THAT THE SUM OF THE ANGLES IN A TRIANGLE=180

9g+2g+7g=180

18g=180

g=180/18

g=10

The answer is 10 tell me if I am wrong

find m<1 m<2 138


i did it asappp,thank you

Answers

Answer:

mΔ1 = 42°

mΔ2 = 42°

Step-by-step explanation:

Δ1 + 138° = 180°

Δ1 = 180° - 138°

Δ1 = 42°

______________

Δ2 + 138° = 180°

Δ2 = 180° - 138°

Δ2 = 42°

Write a recursive rule for the sequence. The sequence may be arithmetic, geometric or neither: 66,33,16.5,8.25,...​

Answers

An=a(n-1)x1/2 A1=66

The question is in the picture

Answers

Answer:

y= -5x+7

Step-by-step explanation:

since it is parallel, the gradient is the same

m=-5

y=mX+C

y=-5x + c

sub in the coordinate to get the y intercept

(2)= -5(1)+c

2+5 = C

C=7

therefore the ans is :

y= -5x + 7

(tell me if i got it correct)

A triangle where one angle measures 20° and another angle measures 45°.Help please

Answers

Answer: 115 degrees

Step-by-step explanation:

Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180

Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

58cm

Step-by-step explanation:

15+14+5+8+6=48

missing side = 15-5 =10

48+10=58

I NEED THE ANSWERS ASAP PLEASE HELP!!!!!

Answers

Answer:

x = 10

y = [tex]10\sqrt{2}[/tex]

Step-by-step explanation:

Let me know if you want an explanation.

Function Notation: f(x)= -4+22; f(12)​

Answers

Answer:

f(x)=-4x+22

f(12)=-4×12+22=-48+22=-26 if your

Step-by-step explanation:

question is f(x)=-4x+22

HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?

Answers

Answer:

88%

Step-by-step explanation:

128-15=113

113/128=.882

88%

Select 3 side lengths that can form a right triangle.

Answers

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

Edit: I had to change cause it was wrong

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

16 squared = 256

63 squared = 3969

16 squared + 63 squared = 4225

65 squared = 4225

A^2 +B^2 = C^2

-6(-2x -y + 4)

It also says to use the distributive property

Answers

Answer:

The answer is 12x+6y-24

Step-by-step explanation:

Answer:

12x + 6y -24

Step-by-step explanation:

Owen plans to deposit $4000 in a traditional IRA at the end of every six months for the next 10 years find the future value if funds are in 10% compounded semi annually

Answers

800$ because yearly he would deposit 8000$ and 10% of that would be 800$ :)

Please help ;-;

2(3x -8y) - 6 =

Answers

Answer:

6x - 16 y -6

Step-by-step explanation:

okay so first you have to distribute the 2 to the number inside the parenthesis

2(3x-8y) -6

you do 2 x 3x, which is 6x

then 2 x -8y, which is -16y

Now the new equation is 6x - 16 y -6

There you go!!

$4000 is compounded annually at a rate of 7% for 7 years.

Answers

Answer:

hey i think its $16,819 i'm so sorry if i get it wrong

Step-by-step explanation:

find the area of the triangle​

Answers

Answer:

area = ½bh

= 1/2×11× 15

= 82.5 Square inches

82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5

An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?

Answers

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.

What is 4 divided by 888

Answers

Answer:

0.0045045045

Step-by-step explanation:

Have a good day I hope this helps! :)

Help me solve this problem please

Answers

It’s only a vertical angle

Select the relation that IS a function.
a. {(-6, -5), (3, 2), (10, 8), (3, 3)}
b. {(-2, -1), (5, -1), (16, 3), (-3, -9)}
c. {(5, 10), (-3, 10), (-3, -10), (4, 7)}
d. {(21, 11), (21, 10), (21, 9), (21, 8)}

Answers

Answer:

B is the function.

Step-by-step explanation:

since there is one y value for every x value we know that is a function

What is the answer, What is mCD?

Answers

Answer:

In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).

Step-by-step explanation:

I hope it works

For every 2 apples in kail's orchard,there are 4 pears. In sam's orchard , there are 10 pears for every 5 apple. If the number of pears in proportional to the number of apples, What is constant proportionality

Answers

Answer:

2/5

Step-by-step explanation:

cause u divied

If 1 sec = 5 dots how many dots will there be in 20 secs

Answers

5*20=100, the answer would be 100 dots

Please anyone ?? Helpp

Answers

Answer:

Does this count as stander form 6.95880148018

Step-by-step explanation:

Miranda owes max $120.00. She pays back 30% of what she owes. How much does she have left to pay back?

Answers

Answer:

I’m pretty sure the answer is $84

Step-by-step explanation:

96% is how much she owes back

What is the value of the expression below when w=5w=5? 4w+9 4w+9

Answers

Answer:

29

Step-by-step explanation:

substitute 5 where the w goes in the expression.

It should look like  4 • 5 + 9

Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29

Using the order of operations ( PEMDAS ), the value of the expression is 29.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We need to find the value of the expression below when w = 5w = 5.

Using the order of operations ( PEMDAS ),

Then substitute 5 where the w goes in the expression.

4w+9 =  4 • 5 + 9

4w+9 = 20 + 9 = 29

Using the order of operations ( PEMDAS ), the value of the expression is 29.

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Find the value of the variable. Write all answers in simplest radical form. Show your work

Answers

Answer:

x = 4.5

Step-by-step explanation:

By geometric mean theorem:

[tex] {3}^{2} = 2 \times x \\ \\ 9 = 2x \\ \\ x = \frac{9}{2} \\ \\ x = 4.5[/tex]

Collins has a part-time job as a dog walker. The table below shows the amount of money Collins earned for different numbers of hours of work:


Collins' Earnings from Dog Walking
Number of Hours Worked Money Earned (dollars)
5 30
6 36
8
66

Part A: What are the missing numbers in the table? Show your work. (4 points)

Part B: Collins also does part-time yard work. The ratio of the number of hours Collins works to the money he earns in dollars is 1:7. Create a table to show the money earned by Collins for 5, 6, and 8 hours of doing yard work. (3 points)

Part C: How many more dollars does Collins earn doing yard work for 5 hours than working as a dog walker for 5 hours? Show your work. (3 points)

Answers

Answer:

See below.

Step-by-step explanation:

Part A:

For Dog walking, he earns $30 for 5 hours of work.

He earns $36 for 6 hours of work.

$30/5 hours = $6/hour

$36/6 hours = $6/hour

He earns $6/hour dog walking.

For 8 hours, he earns 8 hours * $6/hour = $48

To earn $66, he works 66/6 = 11 hours.

5 30

6 36

8 48

11 66

Part B:

He earns $7/hour for yard work, so multiply the number of hours by 7 to find the money he earns.

Table for yard work

Hours     Money

5             $35

6             $42

8             $56

Part C:

For 5 hours, he earns $35 for yard work and $30 as a dog walker.

$35 - $30 = $5

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