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Serhud [2]
2 years ago
13

Find the coordinates of the turning point for the equation of the graph below y=x^2+14x+45

Mathematics
1 answer:
USPshnik [31]2 years ago
4 0

Answer:

(- 7, - 4 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the turning point is

x = - \frac{b}{2a}

y = x² + 14x + 45 ← is in standard form

with a = 1, b = 14 , then

x = - \frac{14}{2} = - 7

Substitute x = - 7 into the equation and evaluate for y

y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4

coordinates of turning point = (- 7, - 4 )

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VLD [36.1K]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

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<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>

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2 years ago
If you were to create a histogram from the data shown in the stem-and-leaf plot, with each bar covering six values from 13 to 42
snow_tiger [21]

Answer:

Step-by-step explanation:

7 0
3 years ago
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Which of the following systems of equations is an example of one where substitution is the best method?
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Answer:

3040

Step-by-step explanation:

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