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3 years ago

7

Write an equation in slope-intercept form (y = mx + b) , that perpendicular to y = 2x - 4 that passes through the point (3, - 3)

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1 answer:

FromTheMoon [43]3 years ago

8 0

Answer:

Step-by-step explanation:

perp. -1/2

y + 3 = -1/2(x - 3)

y + 6/2 = -1/2x + 3/2

y = -1/2x - 3/2

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Ruth hit's a baseball to the right field. The ball is 4 ft above the ground when she hits it. Three seconds later it reaches its

Angelina_Jolie [31]

Answer:

Vertex form: $h(t)=-16(t-3)^2+148$

Height expressed as a function of time: $h(t)=-16t^2+96t+4$

Step-by-step explanation:

We have been given that the ball is 4 ft above the ground when she hits it.

This means that initial value (y-intercept) of ball is 4.

We are also told that three seconds later it reaches its maximum height of 148 ft. This means $h(3)=148$ .

We know that vertex form of a parabola is in format $y=a(x-h)^2+k$ .

Let us solve for a using our given information.

$4=a(0-3)^2+148$

$4=a(-3)^2+148$

$4=a*9+148$

$4-148=9a+148-148$

$-144=9a$

$a=\frac{-144}{9}$

$a=-16$

Therefore, the vertex form of our given function would be $y=-16(x-3)^2+148$ .

Since we need height as a function of time, so we will get:

$h(t)=-16(t-3)^2+148$

$h(t)=-16(t^2-6t+9)+148$

$h(t)=-16t^2+96t-144+148$

$h(t)=-16t^2+96t+4$

Therefore, the function where height is expressed as a function of time would be $h(t)=-16t^2+96t+4$ .

3 0

3 years ago

Someone help please

drek231 [11]

Answer:

x = 30

Step-by-step explanation:

5 0

3 years ago

Mrs. Lenz rented a scooter during her beach vacation. The cost of the scooter rental is shown for different periods of time. Wha

iragen [17]

Answer:

The unit rate of $10 per hour.

Step-by-step explanation:

Given

$x = time$

$y = amount$

$(x,y) = (1,10)$

See attachment for graph

Required

What does the given point represents

From the attachment, the origin of the graph is:

$(x_1,y_1) = (0,0)$

and we have the given point to be:

$(x_2,y_2) = (1,10)$

Calculate the slope (m)

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

$m = \frac{10-0}{1-0}$

$m = \frac{10}{1}$

$m = 10$

The slope represents $10/1 hour

Hence:

$(x,y) = (1,10)$ means the unit rate is $10 per hour

8 0

3 years ago

Please help asap - will give 20 points

Ludmilka [50]

Answer:

3 more weeks. this is the answer. just took the assignment

5 0

4 years ago

Read 2 more answers

Find a polar equation that has the same graph as the equation in x and y.<br> x^2 + y^2 = 5

Alex17521 [72]

X^2 + y^2 can be replaced by r^2 to obtain the polar equation equivalent to x^2 + y^2 = 5. Thus, r^2 = 5, and r = sqrt(5). That's all that's necessary. No matter what the angle is, r will always be sqrt(5).

4 0

4 years ago