What is the slope of the line represented by 5x – 2y = 24?

Distance = 13 units

Point A: (8, -7)

Point B: (-4, -2)

[tex]\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }[/tex]

[tex]\sqrt{(12)^{2} + (-5)^{2} }[/tex]

[tex]\sqrt{144 + 25 }[/tex]

[tex]\sqrt{169}[/tex]

[tex]13[/tex]

Answer:

[tex]\boxed {d = 13}[/tex]

Step-by-step explanation:

Use the Distance Formula to help you find the distance between the two following points:

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

(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)

-Apply the two following onto the formula:

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

[tex](x_{2}, y_{2}) = (-4, -2)[/tex]

[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + 5^{2}}[/tex]

[tex]d = \sqrt{144 + 25}[/tex]

[tex]d = \sqrt{169}[/tex]

[tex]\boxed {d = 13}[/tex]

Therefore, the distance is [tex]13[/tex].

Answer:

i need this answer too:(((

Step-by-step explanation:

Answer:

0,2,2,4

Step-by-step explanation:

Sum of two angles that are supplementary = 180°

Then :-

[tex]3x - 2 + 2x+ 7 = 180[/tex]

[tex]5x + 5 = 180[/tex]

[tex]5x = 180 - 5[/tex]

[tex]5x = 180 - 5[/tex]

[tex]5x = 175[/tex]

[tex]x = \frac{175}{5} [/tex]

[tex]x = 35[/tex]

Which means :-

The measure of the larger angle :-

= 35 × 3 - 2

= 105 - 2

= 103°

The measure of the smaller angle :-

= 2 × 35 + 7

= 70 + 7

Therefore , the value of x = 35 and the measure of the smaller angle = 77° .

Answer:

cant see the picture

Step-by-step explanation:

Answer: y=-1/2x-4

Step-by-step explanation:

If you use point slope formula you get

y+2=-1/2(x+4)

simplify that in y=mx+b and you get

y=-1/2x-4

Answer:

It would take him 8 hours

Since every 50 miles takes 1 hour

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▹ Answer

8 Hours

▹ Step-by-Step Explanation

First, find the unit rate:

100 miles ÷ 2 hours = 50 mph

Now, we need to find the time it takes to drive 400 miles so we will divide:

400 miles ÷ 50 mph = 8 hours

If you are looking for total hours, you would add:

2 hours + 8 hours = 10 hours

If you are looking for how long it'll take to drive the 400 miles, it would just remain 8.

Hope this helps!

CloutAnswers ❁

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Answer: #1. yes it's a function #6. the graph is increasing at (-oo , 2) , #7.  the graph is decreasing at (2,oo) ,

Step-by-step explanation:

hope it helps

6. It is increasing from (-infinity, 4) or ]  i am not sure

7. It is decreasing from ( or [4, infinity)

If the arrow kept on going the f(-12) = x for example, f(4)=2

Important things to know f(x)=y and (x,y)

I am sorry that I can not help with the others!!!

Answer:

Because it is 2 of the same number.

Step-by-step explanation:

Answer:

I believe this is because a square is symmetrical and even so are numbers we multiply are the same number. And because there are two of the same number.

Step-by-step explanation:

I hope this helps. Have a good day! :)

Answer:

Step-by-step explanation:

Given the frequency vibrations for a certain guitar string modeled by the equation

F = 200√T where:

T is amount of tantrums in pounds

If the frequency of the vibrations is 600 vibrations per second, the amount of pounds in tantrums will be gotten by substituting F = 600 into the equation and calculating T as shown:

600 = 200√T

Divide both sides by 200

600/200 = 200√T /200

3 = √T

Square both sides

3² = (√T)²

9 = T

T = 9

Hence 9 pounds of tantrum was used to plug the string

Answer:

- 40p + 13

Step-by-step explanation:

Given

3 - 10(4p - 1) ← distribute the parenthesis by - 10

= 3 - 40p + 10 ← collect like terms

= - 40p + 13

Answer:C: 2/3 B

Step-by-step explanation:

The answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

It is given that the double number line shows the amount of clay Jamal uses to make different numbers of identical bowls.

We have to solve the subparts of the question to get the values.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The clay needed per bowl = [tex]\frac{2}{3}[/tex] pounds

a)

The equation for clay (c) to make b number of bowls will be ;

c =  [tex]\frac{2}{3}[/tex] × b

or

c =  [tex]\frac{2}{3}[/tex] b

b)

If there are 8 number of bowls

i.e., b = 8

Then ; amount of clay Jamal needs will be ;

c =  [tex]\frac{2}{3}[/tex] × 8

c = [tex]\frac{16}{3}[/tex] pounds

or

c = [tex]5\frac{1}{3}[/tex] pounds

Thus , the answers will be ;

a) The required equation will be c =  [tex]\frac{2}{3}[/tex] b

b) The amount of clay for 8 bowls will be [tex]5\frac{1}{3}[/tex] pounds.

To learn more about algebra click here ;

brainly.com/question/26479183

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Answer:

the two numbers are 31 and 32.

Step-by-step explanation:

x+(x+1)=63

2x+1=63

2x=62

x=31

The answers are 31 and 32

The sum of two consecutive numbers is 63. Consecutive numbers are numbers that are in a row (e.g. 1, 2, and 3 are consecutive integers). This means we can represent the two consecutive numbers with x and x+1. Plugging the numbers back into the equation, you get

x + x+1 = 63

Simpifying, you get

2x+1 = 63

Now, you just need to isolate x. To do this, you should subtract 1 from both sides, making the equation.

2x=62

Lastly, you need to divide both sides by 2, making making the equation

x=31

The two integers are x and x+1, and when you plug 31 into that, the numbers are 31 and 32.

Answer:

37.5%

Step-by-step explanation:

24÷64=0.375

with percents, you have to move the decimal 2 spaces back

so that equals 37.5%

Answer:

7.

Step-by-step explanation:

9y+12=75

subtract 12 from 75

divide by 9y

Answer:

False

Step-by-step explanation:

Answer: False

Step-by-step explanation: Absolute value is the number of whole numbers the number is away from zero. So it can only be positive because you cannot have a number negative spaces away from zero

Answer:1,2,3

Step-by-step explanation:

Answer:

1. Jorge’s weight change was approximately 5%.

2.Marie’s weight change was approximately 14%.

3.Marie had the greater percent change.

Step-by-step explanation:

edge 2021

Answer:

56 students

Step-by-step explanation:

The equation for your question is 85+2x=197. First you would have to subtract 85, on both sides, leaving you with 2x=112. Then, you'd have to divide by 2 on both sides to isolate the variable. From there, you're left with x=56.

Answer:

Subtract 3

Step-by-step explanation:

Each time the following number decreases by 3

Answer:

5 seconds to walk 25 feet

Step-by-step explanation:

60/10=6

25/5=5

Answer:

sample answer:   If you make a table of values, you can see that 4 quarters equal 1 dollar and 8 quarters equal 2 dollars. If you graph the data, you will see a straight line. Therefore, this situation represents a linear function with a constant rate of change of 1/4

Step-by-step explanation:

The situation is a representation of the linear function.

Given that,

One dollar is divided into four quarters.

The total number of dollars is a function of the number of quarters.

Based on the information presented above, we can conclude that when the dollar represents y value and the quarter represents x value

As a result, the slope should be 1/4.

y = 1/4x should be the linear function.

Hence, As a result, we can conclude that the situation is a linear function.

To learn more about linear function, refer to:

https://brainly.com/question/15602982

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Answer:

12

Step-by-step explanation:

Hi there !

144 | 2

72 | 2

36 | 2

18 | 2

9 | 3

3 | 3

1

144 = 2⁴ × 3²

√144 = √2⁴×3² = 2²×3 = 4×3 = 12

Good luck !                                                

Answer:

XDdddDddDDDDDDDDDDDDDDDDDDD

4/9 is the answer

hope this helps

Answer:

D

Step-by-step explanation:

it is D because you always want x to be a lone fraction and that would be the first step im 99% sure unless someone can correct me :)

Answer:

d) subtract 15 from both sides

Step-by-step explanation:

Process of elimination:

a) 2.5 and x are being multiplied, not subtracted, so (a) is wrong right off the bat.

b) you may divide 2.5 by both sides, but you want to get "x" on one side first. So you would do (b) first either.

c) to get rid of 15, which we need to somehow, we need to do the opposite operation than the one in the equation. 15 is +15, not negative, and so you would need to subtract to get rid of 15. This is why (c) is also wrong.

That leaves us, with (d), because you need to subtract 15 to isolate "x".

Answer:

B

Step-by-step explanation:

Answer:

B. 1.5r + 5

Step-by-step explanation:

Because he bought 1 yardstick and r rulers so to find the total number you need to add both numbers together.

The answer is b.) -2

Answer:

slope would be -2

Step-by-step explanation:

slope formula

[tex] \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } [/tex]

We know: (1, 9) and (4, 3)

plug in the numbers

[tex] \frac{9 - 3}{1 - 4} [/tex]

subtract

[tex] \frac{6}{ - 3} [/tex]

divide

[tex] - 2[/tex]

Tadaaaa