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3 years ago

9

Which equation represents y= -x^2 + 6x + 7 in vertex form ?

1 answer:

Drupady [299]3 years ago

7 0

we are given

$y= -x^2 + 6x + 7$

we can use vertex form parabola formula

$y= a(x-h)^2+k$

so, we can complete x square

$y= -(x^2 - 6x - 7)$

$y= -(x^2 - 6x - 7+3^2-3^2)$

$y= -(x^2 - 6x +3^2-16)$

$y= -(x-3)^2+16$

so, option-A........................Answer

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The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

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3 years ago

Whats -12j > 156 , and n+4 +2n < -20 and also -1/2 k - 14 <11

yKpoI14uk [10]

For the first one it is, j<<span>−<span>13
Second one, </span></span>n<<span>−<span>8
</span></span>Third one, k><span>−<span>50</span></span><span>

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3 years ago

A can of peas weighs 10 oz. Explain how you would make a graph to model the total weight of peas in terms of the number of cans

Vika [28.1K]

Ur x axis will be the number of cans and ur y axis will be the weight in oz

u will label ur x axis( the number of cans) in intervals of 1......from 0 to 4
u will label ur y axis (the weight) in intervals of 10....from 0 to 40

ur equation would be : y = 10x
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3 years ago

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At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two switches are

olchik [2.2K]

Answer:

The probability that exactly one switch is good is

$P(x) =0.0392$

Step-by-step explanation:

The probability that a switch is defective is:

$P(D) = \frac{2}{100} =0.02$

The probability that a switch is not defective is

$P(D') = 1-P(D)=0.98$

Therefore, if two switches are selected, the probability that exactly 1 is good is:

$P(1=1)=P (D) P (D ') + P (D') P (D)$

$P(x)=(0.02)(0.98) + (0.98)(0.02)$

$P(x) =0.0392$

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4 years ago

Read 2 more answers

I need help assap

Bad White [126]

It’s 2=x because you have start with 2 then 5

5 0

3 years ago