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3 years ago

How to find the equation of a parabola given the vertex and one point?

1 answer:

3 0

First, write down y=a(x-the x coordinate of the vertex)^2+the y coordinate of the vertex)
second, plug the x coordinate and coordinate of the given point in the above equation to find out a
For example, vertex is (1,2), the point is (3,4)
y=a(x-1)^2+2
then plug in x=3, y=4 in the above equation to find out a
4=a(3-1)^2+2
4=4a+2
4a=2
a=1/2
the equation of the parabola with a vertex at (1,2) and passes through the point (3,4) is 0.5(x-1)^2+2

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A taxi service charges you an initial fee of $1.50 plus $1.50 for every mile traveled. A taxi ride costs $21.00. How many miles

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the taxi driver when driver 5280 feet

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3 years ago

Please help I don’t know the answer :(

gogolik [260]

Answer:

When x=8, y=-6. When x=10, y=0

Step-by-step explanation:

$y=3x-30\\x^2+y^2=100$

You can plug the given y value into the second equation to get:

$x^2+(3x-30)^2=100\\x^2+9x^2-180x+900=100\\10x^2-180x+800=0\\10(x^2-18x+80)=0\\10(x-8)(x+10)=0\\x= 8, 10\\y= -6, 0$

Hope this helps!

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3 years ago

Read 2 more answers

How far can you run in 5/7 of an hour if you run at a speed of 8 2/5 mph?

Mazyrski [523]

Answer: you can run 6 miles

explanation: 8 2/5 divided by seven = 1.2 1.2x5 = 6

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4 years ago

What does x= in the equation?

vampirchik [111]

Answer:

3.5

Step-by-step explanation:

2x + 5 = 12

-- minues five from both sides --

2x = 7

-- divide both sides by two ---

x = 3.5

Please give brainliest. 

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4 years ago

A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an

Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable X represent the amount of land used for planting trees and Y represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

X + Y = 25....(i)

Now it is provided that:

The cost of planting trees is $ 400 per hectare.
The cost of purchasing land is $ 260 per hectare.
The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400X + 260Y = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

$\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5$

Then the value of y is:

$x+y=25\\y=25-x\\y=25-12.5\\y=12.5$

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

4 0

3 years ago