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3 years ago

What is the slope of the line that passes through (3, 14) and (7, 9)?

Mathematics

2 answers:

konstantin123 [22]3 years ago

7 0

Answer:

$m=\frac{-5}{4}$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

<u>Algebra I</u>

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

Point (3, 14)

Point (7, 9)

<u>Step 2: Find slope </u><em><u>m</u></em>

Substitute [Slope Formula]: $m=\frac{9-14}{7-3}$
Subtract: $m=\frac{-5}{4}$

WINSTONCH [101]3 years ago

7 0

M = -5/4 im pretty sure

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32 feet multiplied by 30 feet 5 inches

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4 years ago

Which function has an average rate of change of -4 over the interval [-2,2]?

kolbaska11 [484]

Only p(x) has an average rate of change of -4 over [-2, 2].

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = $\frac{m(b)-m(a)}{b-a}$

Where, a = -2, m(a) = -12

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

$=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}$

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = $\frac{n(b)-n(a)}{b-a}$

Where, a = -2, n(a) = -6

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

$=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}$

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = $\frac{q(b)-q(a)}{b-a}$

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = $\frac{-4-12}{2-(-2)}$

= $\frac{-16}{4}$

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = $\frac{p(b)-p(a)}{b-a}$

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = $\frac{-4-12}{2-(-2)}$

$=\frac{-16}{4}$

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

To learn more about the average rate of visit:

brainly.com/question/8728504

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1 year ago

Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their a

Vlad [161]

Answer:

Step-by-step explanation:

David=x

Michelle=x-2

Karen=x-2+6=x+4

sum of ages=62

x+x-2+x+4=62

3x=60

x=20

age of Michelle=20-2=18

5 0

3 years ago

Read 2 more answers

Please help I don't understand!

Fiesta28 [93]

The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.

<h3>How to interpret similar triangles?</h3>

From triangle similarity theorems, we know that;

If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.

Now, from the given diagram, we see the ratio of corresponding sides are congruent as;

45/30 = 54/36 = 36/24 = 1.5

Thus, the triangles are similar by SSS similarity theorem

Read more about Similar Triangles at; brainly.com/question/14285697

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2 years ago

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Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

(9²/3⁴)³ = (81/81)³ = 1³ = 1

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3 years ago