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3 years ago

This year the winner of New York Marathon ran the 8 kilometer event in 24 hours. What is the runner’s unit rate?

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

8 0

3 because 24 divide by 8 is 3

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Write an equation for the line passing through the given pair of points. give the final answer in standard form (-4,-2) and (3,-

Andrew [12]

Answer:

y = -2/7x - 22/7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

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

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (-4, -2)

Point (3, -4)

Step 2: Find slope m

Substitute: $m=\frac{-4+2}{3+4}$
Add: $m=\frac{-2}{7}$

Step 3: Find y-intercept b

Define: y = -2/7x + b
Substitute: -4 = -2/7(3) + b
Multiply: -4 = -6/7 + b
Isolate b: -22/7 = b
Rewrite: b = -22/7

Step 4: Write linear equation

y = -2/7x - 22/7

7 0

3 years ago

Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

UNO [17]

Answer:

$\large\boxed{y+5=\dfrac{2}{3}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

$y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}$

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

$y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)$

7 0

3 years ago

Click on all the points that are solutions to y = x^2 - 9.

Oliga [24]

9514 1404 393

Answer:

B) (2, -5)

D) (3, 0)

Step-by-step explanation:

I find it convenient to let a graphing calculator plot the points and the graph.

The only two points on the graph of the curve are ...

(2, -5) and (3, 0)

3 0

3 years ago

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4?

Ludmilka [50]

Answer:

the answer is 77a8b7

Step-by-step explanation:

5 0

3 years ago

How do I solve for y=160x+2=y=280x-3?

mrs_skeptik [129]

Answer (5/264,76/33)

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3 years ago