A radio telescope has a parabolic surface, as shown below. A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter and its width from left to right is 8 meters. If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?

Answers

Answer 1
Answer:

Answer:

90m

Step-by-step explanation:


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The two cities Midway and Union are 40 km from each other. How far apart would the cities be on a map that has ascale of 1 cm:10 km?
4 cm
4 km
400 cm
400 km

Answers

9514 1404 393

Answer:

  (a)  4 cm

Step-by-step explanation:

Multiplying the given map scale by 4 gives ...

  4 cm : 40 km

This tells us the map distance 4 cm corresponds to a ground distance of 40 km.

Alison's car travels at 65 miles per hour. How far does she travel in 4.5 hours?

Answers

Answer:

292.5 miles

Step-by-step explanation:

Ok so what you want to do is multiply 4.5 and 65 together.

She travels at 65 miles per hour and she travels for 4.5 hours

Bobby made cookies. the circumference of cookies are 6 cm. what is the diameter of the cookies?

Answers

To find the circumference you would multiply the diameter by pi(3.14) so you do the opposite. Divide 6 by 3.14 (pi) and you should get your answer: 19.1 or something similar.

Write the equation of the line that passes through the points (-1, -2), (2, 7).

Answers

Answer:

y+2=3(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(7-(-2))/(2-(-1))

m=(7+2)/(2+1)

m=9/3

m=3

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

y+2=3(x+1)

A SPORTING GOODS COMPANY CAN SHIP 6 FOOTBALLS IN EACH CARTON. HOW MANY CARTONS ARE NEEDED TO SHIP 75 FOOTBALLS

Answers

75 divided by 6 is 12.5
since you cant have half a cartoon you need 13 cartoons
you round 12.5 up to 13

Answer:

13 cartons

Step-by-step explanation:

75 divided by 6 is 12 R 3.

You have to round up the quotient, so the answer is 13 because you have to ship leftover footballs too.

The equation shows the relationship between x and y:y = 7x + 2

What is the slope of the equation?


-7
-5
2
7

Answers

y=mx+b is the formula.
m is the slope and b is the y-intercept.

y-intercept is when x is 0 and x-intercept is when y is 0. So if x is 0, y=m(0)+b which is y=b. So on the graph y will be b when x is 0.

So in y=7x+2, 7 is the slope and 2 is the y-intercept.

\sf\ Slope:\ {\boxed{7}


y={\underbrace{m}x+{\underbrace{b}
\sf\~~~~SLOPE~~~~~Y-INTERCEPT

Below is the slope intercept form:
y = mx + b

where: m = slope; b = y-intercept.

Using the above format, 

y = 7x + 2

m = 7 ; b = 2

The slope of the equation is 7.
The y-intercept of the equation is 2.