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Elina [12.6K]
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)

.

Mathematics
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
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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
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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
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