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guajiro [1.7K]
2 years ago
9

Gabe drops a hammer from an apartment that is 30 meters above the ground. The height of the hammer in meters, h, after t seconds

is modeled by the function below.
h(t)=-t^2-2t+30
Find the approximate number of seconds it will take for the hammer to hit the ground. Round your answer to the nearest whole number.
A. 0
B. 5
C. 10
D. 30
Mathematics
1 answer:
anyanavicka [17]2 years ago
4 0

Simplifying
h(t) = -1t2 + -2t + 30

Multiply h * t
ht = -1t2 + -2t + 30

Reorder the terms:
ht = 30 + -2t + -1t2

Solving
ht = 30 + -2t + -1t2

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Divide each side by 't'.
h = 30t-1 + -2 + -1t

Simplifying
h = 30t-1 + -2 + -1t

Reorder the terms:
h = -2 + 30t-1 + -1t

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mr Goodwill [35]

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

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The coordinate on the x-axis such that AC = BC is (1, 0)

7 0
2 years ago
1+39(12-44)=x find x
Eduardwww [97]

Answer:

The answer is x=−1247

Step-by-step explanation:

Let's solve your equation step-by-step.

1+39(12−44)=x

Step 1: Simplify both sides of the equation.

1+39(12−44)=x

1+−1248=x

(1+−1248)=x(Combine Like Terms)

−1247=x

−1247=x

Step 2: Flip the equation.

Answer: x=−1247

6 0
2 years ago
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The area of a square is 321 square feet. Which best represents the length of a side?​
sdas [7]
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7 0
3 years ago
9 ( x + 3 ) - (2x + 5) = *
Ivan

Answer:

////////////////////////////////////

=7x + 22

7 0
3 years ago
PLEASE HELP PICTURE SHOWN
Rainbow [258]
Your answer is B. 2
This is because to rationalise the denominator, we need to multiply it by (3 - √7), so we get:
(3 + √7)(3 - √7)
3 × 3 = 9
3 × √7 = 3√7
3 × -√7 = -3√7
√7 × -√7 = -7
So all in all you get 9 - 7 which is 2.

I hope this helps!
4 0
3 years ago
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