What is the slope of the line through
(-9, 6) and (-6, -9)? Show your work.

Answer:

a)  ( r+ s) (x)  = 3 x + 9

b)   ( r . s ) (x) =  2 x² + 13 x +20

c) ( r- s) (x)  = -1 -x

Step-by-step explanation:

Step(i):-

Given that r(x) = x +4 and s(x) =  2x + 5

a)   ( r+ s) (x)  = r(x) + s(x)

                    = x +4 + 2x +5

                   = 3 x + 9

    ( r+ s) (x)  = 3 x + 9

b)

    ( r . s ) (x)  = r(x) . s(x)

                    = (x+4) . ( 2x +5)

                   = x ( 2x +5) + 4( 2x +5)

                  = 2 x² + 5 x + 8 x +20

                 = 2 x² + 13 x +20

( r . s ) (x) =  2 x² + 13 x +20

c)

 ( r- s) (x)  = r(x) - s(x)

               =  (x+4 - ( 2x +5)

              = x +4 - 2x -5

            = -x -1

( r- s) (x)  = -1 -x

Answer:

6.7

Step-by-step explanation:

Theres a formula to figure this out. If you know two sides of a right angle triangle you can find the third.

Use the formula a²=b²+c², where a is the side opposite the right angle and b and c are the other sides.

a²=b²+c²

7²=2²+c²

49=4+c²

49-4=c²

c=√45 or 6.7082039325

Answer:

dy/dx= -4x+16/y+2

Step-by-step explanation:

just cause also if you need to classify then it's ellipse (this is to find the first derative)

do you need it in standard form

Answer:

The midpoint of the line segment   D = ( 4, 6)  

Step-by-step explanation:

Explanation:-

Given points are A(8,7) and B(0,5)

The midpoint of line segment overline AB

Let 'D' be the midpoint of AB

[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]

[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]

[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]

The midpoint of the line segment

 D = ( 4, 6)  

Answer:

m>1

Step-by-step explanation:

inverse operations... add 3 to both sides so you get -2+3=1!!

Answer:

Step-by-step explanation:

Speed=Distance/Time

1.5/78=0.01923076923

Answer rounded=0.02/0.019

Answer:

The quantities are not proportional.

Step-by-step explanation:

The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.

The graph represents two quantities are not proportional to each other.

A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.

Given:

As, A relationship is proportionate if its graph is a line or ray that passes through the origin.

and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.

Here the graph also does not pass through the origin.

Hence, the graph is not proportional.

Learn more about Proportional here:

https://brainly.com/question/7096655

#SPJ2

9514 1404 393

Answer:

  [tex]\dfrac{2}{5}\times\left(\dfrac{5}{8}\times 16\right)[/tex]

Step-by-step explanation:

In this context, "of" means "times". A product of two numbers is computed by taking one "times" the other. In short, the operations being described by the words are two uses of "times". That shows up in only one answer choice.

Answer:

0.206 and then it repeats 6 over and over again

Step-by-step explanation:

hope it helped :)

Answer:

Step-by-step explanation:

the answer is:

0.20666666666

Answer:

8 ft 8 in

Step-by-step explanation:

104/12 = 8.666...

This shows that there are 8 total feet because there are 12 inches in a foot

Then, multiply 8*12 to get 96 in order to get the remainder of the inches left that do not make up one whole foot.

Then subtract 96 from 104 (104-96) to get the remainder which is 8 inches.

Answer:

x=-6

Step-by-step explanation:

-8(x+3)=24 first, divide both sides to get x+3=-3

then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.

hope this helps!

Answer:

Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d

Answer:

B.

Step-by-step explanation:

I did the test and got it right.

Answer:

x<2/3b+-8/3

Step-by-step explanation:

Let's solve for x.

−3x+2b>8

Step 1: Add -2b to both sides.

2b−3x+−2b>8+−2b

−3x>−2b+8

Step 2: Divide both sides by -3.

-3x/-3>-2b+8/-3

x<2/3b+-8/3

Answer is : x<2/3b+-8/3

Answer:

C

Step-by-step explanation:

1 inch=400 miles

x =200 miles

200 is half of 400, so the measurement should be halved as well.

Answer:

15([tex]\frac{458}{15}[/tex]+b) or

15(b+[tex]\frac{458}{15}[/tex])

Step-by-step explanation:

First we can subtract the 4.

458 + 15b

Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.

15([tex]\frac{458}{15}[/tex]+b) or

15(b+[tex]\frac{458}{15}[/tex])

Answer:

5/6 is the probability

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and rolling a 6-sided die you can get 1, 2, 3, 4, 5, 6 so 5 is the only thing you can roll that isn't a factor of 24 so

Answer:

7 1/2

Step-by-step explanation:

convert mixed numbers to fractions to get 1/2 and 15/1

then, multiply the two to get 15/2

then simplify for the answer 7 1/2

answer 7.5

Step-by-step explanation:

convert the fraction to a decimal by dividing the numerator by the denominator

Answer:

Area of triangle is 1 inches²

Step-by-step explanation:

We are given:

Base of triangle = 16 inches

Height of triangle = [tex]\frac{1}{8} \:[/tex] inches

We need to find:

Area of triangle

The formula used to find Area of triangle is:

[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height.

Putting values and finding area:

[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]

So,  Area of triangle is 1 inches²

Answer:

4/35

Step-by-step explanation:

1. Find 7 1/2

15/2

2. Flip 15/2

2/15

3. Multiply

12/105

4. Simplify

4/35

Answer:

equal

Step-by-step explanation:

When the two lines are parallel Corresponding Angles are equal

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Leah makes $342 before tax.

Step-by-step explanation:

9.50 x 36 = 342

Leah makes $342 before tax.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Step-by-step explanation:

Answer:

First one is sin 27 and cos 63

second one is sin 60

Step-by-step explanation:

Answer: x = 7.25

Explanation:

Answer:

y - 0 = -⅔(x - 3)

Step-by-step explanation:

Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.

Thus:

Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).

y - 0 = -⅔(x - 3) (the equation in point-slope form)

Answer:

10 and 15, 20 and 25, and 35 and 45.

Step-by-step explanation: