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3 years ago

Write the equation of the quadratic function with vertex (7,9) in Vertex Form.

Mathematics

1 answer:

mojhsa [17]3 years ago

3 0

9514 1404 393

Answer:

y = (x -7)² +9

Step-by-step explanation:

The vertex form of the quadratic equation is ...

y = a(x -h)² + k . . . . . . . . vertex (h, k); vertical scale factor 'a'

If we use a vertical scale factor of a=1, then putting the vertex (h, k) = (7, 9) into the vertex form gives ...

y = (x -7)² +9

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Mandy used the graph to write the equation of the line it represents. She took these steps. 1. y−intercept = (0, 2) 2. Slope = r

Katyanochek1 [597]

Based on the information given about the equation, y will be 0.5x + 2.

<h3>How to illustrate the equation?</h3>

From the information given, it should be noted that the equation of the line it represents was given and the y intercept is = (0, 2).

The function to represent y will be:

y = mx + b

y = (1/2)x + 2

y = 0.5x + 2

In conclusion, y = 0.5x + 2.

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2 years ago

Joseph took a taxi from his house to the airport. The taxi company charged a pick-up

JulsSmile [24]

Answer:

$21.10=3.10+2m.

Step-by-step explanation:

If the total fare was $21.50, then that is what it will all have to equal out to.

They charged a pick-up fee of $3.10. Which means that no matter how far you go, you will pay that. Then an extra $2 per mile. If m is mile, then it would be 2m because it is $2 per extra mile. Then add the pick-up fee of $3.10 and you will get your answer of $21.50=3.10+2m.

7 0

3 years ago

Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm

Inessa05 [86]

Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

$c^{2} =a^{2} + b^{2}$

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

$c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\$

$b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\$

And so b ≈ 11.66190

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3 years ago

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kiruha [24]

Answer:

Step-by-step explanation:

A)55 + 12 + 43=110

B) 55+14+40=98

C)55 + 16 +37 =108

HOW MUCH DOSE THE ENTERE THINK NEED TO BE WHAT THE AMOUNT ???

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3 years ago

The Great Pyramid in Giza, Egypt, is a square pyramid. The dimensions of the pyramid at the time of its completion are shown in

ryzh [129]

Answer:

Area of square pyramid is $153883.8\ m^{2}$ .

Step-by-step explanation:

Diagram of the given scenario is shown below,

Given that,

The Great Pyramid in Giza, Egypt is a square pyramid. The area of base shape is made up with square is $154 \ m^{2}$ . The side of the square is $230 \ m$ and The height of each triangle is $187 \ m$ .