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masya89 [10]
2 years ago
7

The graph of a linear function passes through points A(-2, 5) and B(4, -4). What is the rate of change of the graph?

Mathematics
1 answer:
rodikova [14]2 years ago
7 0

When using the the slope formula the equation would be

-4-5= -9

4- -2=6

You divide and u get 1.5 which is also known as 1 and 1/2

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Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = x+1 1 X+ 3 2.
Troyanec [42]

Answer:

D. (4, 5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

y = x + 1

y = 1/2x + 3

<u>Step 2: Solve for</u><u><em> x</em></u>

  1. Substitute in <em>y</em>:                              x + 1 = 1/2x + 3
  2. Subtract 1/2x on both sides:        1/2x + 1 = 3
  3. Subtract 1 on both sides:              1/2x = 2
  4. Divide both sides by 1/2:              x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                   y = x + 1
  2. Substitute in <em>x</em>:                                    y = 4 + 1
  3. Add:                                                     y = 5

<u>Step 4: Graph</u>

<em>We can confirm our answer.</em>

8 0
3 years ago
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Verizon [17]

Answer:

17 units

Step-by-step explanation:

7 0
2 years ago
The graph of the function f(x) = –(x + 3)(x – 1) Which statement about the function is true
Alex73 [517]

I think the answer is 2.The function is negative for all real values of x where x < –3 and where x > 1.

7 0
3 years ago
A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible length
zlopas [31]

Answer:

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

Step-by-step explanation:

For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.

Hence:

She has two sides of length 18 inches and 27 inches

Let the third side = x

Hence:

a) 18 + 27 > x

45 > x

b) 18 + x > 27

x > 27 - 18

x > 9

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

5 0
3 years ago
If the radius of the circle is multiplied by a factor of 3, then the area of the circle is multiplied by a factor of
Oksi-84 [34.3K]
\bf \textit{area of a circle}\\\\&#10;A=\pi r^2\quad &#10;\begin{cases}&#10;r=radius\\&#10;-----\\&#10;r=\stackrel{r\times 3}{3r}&#10;\end{cases}\implies A=\pi (3r)^2&#10;\\\\\\&#10;A=\pi (3^2r^2)\implies A=9(\pi r^2)

notice, if the original area was πr², then the new area has a factor in front of it, that much.
8 0
3 years ago
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