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Ray Of Light [21]
3 years ago
14

The vertex if the parabola below is at the point (2,4) and the point (3,6) is on the parabola. What is the equations the parabol

a
Mathematics
2 answers:
Sloan [31]3 years ago
4 0
I think the equation is 2(x-2)^2+4
3241004551 [841]3 years ago
4 0

Answer:

y = 2(x-2)^2+4  is the equations the parabola

Step-by-step explanation:

The standard equation of parabola is given by:

y = a(x-h)^2+k           ....[1]

where,

a is the non zero real number and

(h, k) is the vertex of the parabola.

As per the statement:

The vertex if the parabola below is at the point (2,4)

⇒(h, k) = (2, 4)

⇒h =2 and k =4

Substitute these in [1] we have;

y = a(x-2)^2+4

Since, the point (3,6) is on the parabola

⇒x = 3 and y = 6

then;

6 = a(3-2)^2+4

6 = a+4

Subtract 4 from both sides we have:

2= a

or

a = 2

⇒y = 2(x-2)^2+4

Therefore, the equations the parabola is, y = 2(x-2)^2+4

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A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?
kiruha [24]

Step-by-step explanation:

Given information:

A fence on a hill uses vertical posts L and M to hold parallel rails N and P

The diagram is attached below

Here lines N  and P are parallel lines

Transversal line for parallel lines N  and P is line L

Calculation:

angle 1  and angle 16 are consecutive exterior angles

If parallel lines are cut by a transversal then consecutive exterior angles are supplementary

So measurement of angle 16 = 65 degrees

4 0
3 years ago
What is the range of values of x for a triangle's third side given side measures of 8 and 15 for the other two sides?
mr_godi [17]

Answer: b

Step-by-step explanation:

it is right

3 0
3 years ago
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Brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28%
Gre4nikov [31]

Answer:

28/100

Step-by-step explanation:

5 0
3 years ago
How do you work this out
oksian1 [2.3K]

Answer:

Below.

Step-by-step explanation:

To find the number of students in each grade you multiply the marks by the frequency density. The number of students is given by the area under the  rectangles.

So to find the number of students with grade U (< 160)  it is:

120 * 0.2 + 40*0.5

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The number for Grade E

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= 40 * 0.5

= 20.

The others can be found in the same way.

6 0
3 years ago
A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?
Dmitry [639]

Answer:

The correct answer is option A.  90°

Step-by-step explanation:

<u>Points to remember</u>

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes  on it.

<u>To find the measure of <XYZ</u>

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

3 0
3 years ago
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