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fgiga [73]
3 years ago
8

What is the vertex form of y=-1/2x^2 -2x -3?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
4 0

Answer:

y = − 1 2 ⋅ ( x + 2 ) 2 − 1

Step-by-step explanation:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. Equation in y = ax2 + bx + c form.

Very glad I could help you!1

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∠E∠E and ∠F∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .
Mama L [17]

Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F

Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24

Subtract both sides of the equation by 3x

6x + 12 = 24

Subtract 12 from both sides

6x = 12

Divide both sides by 6

x = 2

This should be your answer. Have an awesome day! :)

3 0
3 years ago
Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y
Mashcka [7]

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

log2z³ - log2y² + log9y⁴ + log9x¹²

= log2(z³/y²) + log9(y⁴x¹²)

Read more on logarithm laws;

brainly.com/question/10208274

#SPJ1

4 0
2 years ago
A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd
Damm [24]

Answer:

negative

Step-by-step explanation:

calculating the z score by subtracting the mean and dividing by the standard deviation

(55-70)/10= -1.5

It's negative

5 0
3 years ago
The Hunters drove to visit some friends. The table below shows how long it 1 point
Leni [432]

Answer:

60 miles per hour

Step-by-step explanation:

For each point just divide the miles by the hour

120/2 = 60 mph

180/3 = 60 mph

240/4 = 60 mph

7 0
3 years ago
Can some one help me im confused
LekaFEV [45]
1) first one....90-27=63°
2)180-128=52°>>>>that is B
3)first one is suppliment....so A
4)180-125=55°....I think D....but not in pic !!!

so...go for it !!!
4 0
3 years ago
Read 2 more answers
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