Slope of (1, -1) and (5,-7)

Mathematics

1 answer:

Gemiola [76]2 years ago

4 0

Answer: m = -3/2

Step-by-step explanation: Use the slope formula to find the slope m.

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Find the area of the shape. Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal

frozen [14]

A = 84.825 because the area of a circle is 113.1 and 1/4 of it is missing.

6 0

3 years ago

James used a substitution to solve this system of equations. Which equation could be a result of his first step? 2x+3y=12 y=x+1.

Blizzard [7]

Answer:

x = 1.5

y = 3

Step-by-step explanation:

to solve this system of equation using the substitution methods we say let

2x+3y=12................................... equation 1

y=x+1.5..................................... equation 2

substitute equation 2 into equation 1

2x+3y=12................................... equation 1

2x + 3( x + 1.5) = 12

2x + 3x + 4.5 = 12

5x + 4.5 = 12

collect the like terms

5x = 12 - 4.5

5x = 7.5

divide both sides by the coefficient of x which is 5

5x/5 = 7.5/5

x = 1.5

put x = 1.5 into equation 2

y=x+1.5..................................... equation 2

y = 1.5 + 1.5

y = 3

therefore the value of x = 1.5 and y = 3 respectively.

5 0

2 years ago

The equation of a function<br>y = 2/3x+1/3 find the value of y<br>when x = -3<br>when x = 1 1/2

kirill [66]

Answer:

$y = \frac{-5}{3}\\\\y = \frac {4}{3}$

Step-by-step explanation:

$y = \frac{2}{3} x + \frac{1}{3}\\\\when \ x = -3 \\\\y = \frac{2}{3}(-3) + \frac{1}{3} = -2 + \frac{1}{3} = \frac{-6 + 1}{3}= \frac{-5}{3} \\\\When \ x = 1 \frac{1}{2} = \frac{3}{2}\\\\y = \frac{2}{3} \times \frac{3}{2} + \frac{1}{3} = 1+ \frac{1}{3} = \frac{3 + 1}{3}= \frac{4}{3} \\\\$