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belka [17]
3 years ago
5

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

Mathematics
1 answer:
vlabodo [156]3 years ago
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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If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?
MariettaO [177]

Answer:

48 square unit

Step-by-step explanation:

For a rectangle, area is given by

A=bh

Where b is base and h is height as shown in the attached diagram

For a triangle, area is given by

A∆=½bh

Given that ½bh=48

Then bh=2*48=96 square units

The overall area is 96 square units.

The area for 1&2 combined will be given by deducting the area of triangle from the overall area

Area is 96-48=48 square units

6 0
3 years ago
A graph Includes the ordered pair (2,4). Write two different rules that would be possible for this graph. Explain how you found
Vanyuwa [196]
We know that
An ordered pair is used to locate a point on a coordinate grid.
The first number in an ordered pair is the x-coordinate, and the second number in an ordered pair is the y-coordinate.

In this problem, the ordered pair is
(2,4)
so
the x-coordinate is equal to 2
the y-coordinate is equal to 4

therefore

Rule N 1
The y-value is 2 times the x-value

Rule N 2
The y-value is 2 greater than the x-value     

Both are possible because their solutions include the ordered pair listed          
4 0
3 years ago
Read 2 more answers
MULTIPLE CHOICE QUESTION<br> ers<br> What is 0.25 as a fraction?
DanielleElmas [232]

\frac{1}{4}

Hope it helps

4 0
3 years ago
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Given: circle k(O), ED diameter, m∠OEF=32°, m EF=(2x+10)°. Find: x
Snezhnost [94]

Answer:

The value of x is 53\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc DF

we know that

The inscribed angle measures half that of the arc comprising

so

m

we have

m

substitute

32\°=\frac{1}{2}(arc\ DF)\\ arc\ DF=64\°

step 2

Find the measure of x

we know that

arc\ DF+arc\ EF=180\° ---> is a semi circle

we have

arc\ DF=64\°\\ arc\ EF=(2x+10)\°

substitute

64\°+(2x+10)\°=180\°\\ 2x\°=180\°-74\°\\ 2x\°=106\°\\ x=53\°

4 0
3 years ago
A fair six-sided die is rolled 54 times. Theoretically, how many times should a roll of "5" occur?
Mazyrski [523]

Answer:

9 times

Step-by-step explanation:

P("5") = 1/6

n("5") = 1/6 × 54 = 9

7 0
3 years ago
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