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spayn [35]
3 years ago
8

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 36 ft/s. The ball's height h (in feet) afte

r seconds is given by the following.
h=3+36-16
Find all values of t for which the ball's height is 15 feet.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

t = 0.55 s and t = 1.14 s

Step-by-step explanation:

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Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 6
kykrilka [37]

Answer:

X=50

Step-by-step explanation:

x is the angle

180 - x is its suplement

90 - x is its complement

(180 - x) - 3(90 -x) = 10

180 - x -270 +3x = 10

-90 + 2x = 10

2x = 100

X = 50

4 0
3 years ago
Consider the following equation. 9x2 − y2 = 6 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly fo
qaws [65]

Answer:

Step-by-step explanation:

Given is an equation in x and y as

9x^2 - y^2 = 6

We use implicit method to differentiate the above equation

18x-2yy'=0

y' = 9x/y

b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±

We separate the variables as

yy' =9x\\\frac{y^2}{2} =\frac{9x^2}{2} +C\\y^2 =9x^2+2C

Take square root

y=\sqrt{9x^2+2C} \\y=-\sqrt{9x^2+2C}

6 0
3 years ago
A segment has an endpoint at (1,−2). The midpoint is at (−4,−2). What are the coordinates of the other endpoint?
vodka [1.7K]

Answer:

The other midpoint is located at coordinates (-9,-2) (Second option)

Step-by-step explanation:

<u>Midpoints</u>

If P(a,b) and Q(c,d) are points in \mathbb{R} ^2, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by

\displaystyle x_m=\frac{a+c}{2}

\displaystyle y_m=\frac{b+d}{2}

We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.

The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:

x (other endpoint)= - 4 - 5 = - 9

So the other midpoint is located at (-9,-2) (Second option)

5 0
3 years ago
How do you write 30.0 in scientific notation? ____× 10^_____
Pie

Answer:

It's written as

3 \times  {10}^{1}

Hope this helps you

8 0
3 years ago
Read 2 more answers
Bob is on his way home in his car. His drive is 16 miles long. He has finished one-fourth of the drive so far. How far has he dr
Georgia [21]

Answer:

He has driven 16 miles so far

Step-by-step explanation:

The unknown in your equation is the total length of Trey's drive, which we will call "x".

From the problem statement, you know that 12 is three-fourths of x so set up the following equation and solve for "x":

3/4(x) = 12

multiply both sides of the equation by 4/3 to isolate "x":

(4/3)(3/4)(x) = (12)(4/3)

therefore

x = (12)(4)/(3) = 16

7 0
2 years ago
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