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3 years ago

What is the slope-intercept form equation of the line that passes through (5.7) and (8, 22)?

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

5 0

Answer:

C . y= 5x -18

Step-by-step explanation:

$(5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)$

Plug in the values into the following equation

$\frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}$

$\frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3}$

Cross Multiply

$3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75$

Collect like terms and simplify

$3y = 15x - 75 + 21 \\ 3y = 15x - 54$

Divide through by 3

$\frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18$

ELEN [110]3 years ago

4 0

Hsisnzb ok ok hello ok

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Hoochie [10]

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Answer:

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Step-by-step explanation:

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3 years ago

You are tossing an apple. After t seconds, the height of the apple in feet is given by h = -16t2 + 38.4t + 0.96. What is the dom

Nesterboy [21]

Using function concepts, it is found that the domain is 0 ≤ t ≤ 2.4, given by option C.

----------------------

The height of the apple after t seconds is given by:

$h(t) = -16t^2 + 38.4t + 0.96$

The domain of a function is the set that contains all possible input values.
The possible input values for this situation are the values of t between 0 and the instant in which the apple hits the ground, which is t for which $h(t) = 0$ .

----------------------

$h(t) = -16t^2 + 38.4t + 0.96$

Which is a quadratic equation with $a = -16, b = 38.4, c = 0.96$

To find the solutions:

$\Delta = b^2 - 4ac = (38.4)^2 - 4(-16)(0.96) = 1536$

$t_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 + \sqrt{1536}}{2(-16)} = -0.0247$

$t_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-38.4 - \sqrt{1536}}{2(-16)} = 2.4$

The apple is in the air for 0 ≤ t ≤ 2.4, which means that the domain is given by option C.

A similar problem is given at brainly.com/question/23932338

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denpristay [2]

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vfiekz [6]

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Step-by-step explanation:

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beks73 [17]

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