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3 years ago

C) How long is the potato in the air? hint set h=0 if h=-2(t-3)2+32

Mathematics

1 answer:

Galina-37 [17]3 years ago

6 0

Answer:

if you meant to put $(t-3)^{2}$ , then the answer is 7

Step-by-step explanation:

h=-2 $(t-3)^{2}$ +32

solve for t

0=-2 $(t-3)^{2}$ +32

subtract 32 from both sides

-32=-2 $(t-3)^{2}$

divide both sides by -2

16= $(t-3)^{2}$

find suare root of 16

4= t-3

add 3 to both sides

7 = t

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Write an equation in standard form passing through the points (-2, 0) and (-3, -1). I know the answer to the question, but I do

g100num [7]

Answer:

$y - x = 2$

Step-by-step explanation:

Given

Points (-2,0) and (-3,-1)

Required

Equation of Line

The first step is to determine the slope of the line; using the following formula

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

$Where\ (x_1,y_1) = (-2,0)\ and\ (x_2,y_2) = (-3,-1)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{-1 -0}{-3 - (-2)}$

$m = \frac{-1}{-3 +2}$

$m = \frac{-1}{-1}$

$m = 1$

The next is to determine the equation of the line using any of the points

The formula is as thus;

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

Using $m = \frac{y - y_1}{x - x_1}$

$Where\ (x_1,y_1) = (-2,0)\ and\ m =1$

$1 = \frac{y-0}{x - (-2)}$

$1 = \frac{y-0}{x +2}$

$1 = \frac{y}{x +2}$

Multiply both sides by x + 2

$(x+2)*1 = \frac{y}{x +2} * (x+2)$

$(x+2)*1 = y$

$x+2 = y$

$y = x + 2$

Subtract x from both sides

$y - x = x - x +2$

$y - x = 2$

Hence, the equation of the line in standard form is $y - x = 2$

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3 years ago

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4 years ago

1. A pond has 85 frogs, 20% of the frogs are green the rest are orange, brown, and yellow. How many frogs are green?

alexandr402 [8]

Answer:

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Step-by-step explanation:

You need to multiply the decimal form of 20% by 85.

To find the decimal form of a percent you take the decimal (20.00) and move it twice to the left (20.00 ---> .2000)

Now, multiply by .2 by 85

(.2)(85) = 17

Therefore, 17 frogs in the pond of 85 frogs are green

<em>Hope this helps!!</em>

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3 years ago

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ELEN [110]

Answer:

Step-by-step explanation:

by dividing the smallest number from the bigger number to get the last house

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2 years ago

Find the range of f(x) = -x + 4 for the domain (-3,-2,-1,1).

timofeeve [1]

The domain: D={-3;-2;-1; 1}

f(x) = -x + 4

subtitute

f(-3) = -(-3) + 4 = 3 + 4 = 7
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Answer: The range: {3; 5; 6; 7}

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3 years ago

C) How long is the potato in the air? *hint set h=0* if h=-2(t-3)2+32

C) How long is the potato in the air? hint set h=0 if h=-2(t-3)2+32