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Anna007 [38]
2 years ago
15

Complete the square to re-write the quadratic function in vertex form: y = x2 + 4x – 9

Mathematics
2 answers:
Alona [7]2 years ago
5 0

Answer: − 2 ± √ 13

Step-by-step explanation:

(-b±√(b²-4ac))/(2a)

Plug in and solve.

Helen [10]2 years ago
3 0

Answer:

y = (x + 2)² - 13

Step-by-step explanation:

y = x² + 4x - 9

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

y = x² + 2(2)x + 4 - 4 - 9

  = (x + 2)² - 13 ← in vertex form

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|x+5|+20=4 Needs to show work on how you came up with the answer.
arlik [135]

Answer:

No solution

Step-by-step explanation:

So we have the equation:

|x+5|+20=4

First, subtract 20 from both sides:

|x+5|=-16

Now, we can stop. Recall that absolute value will always <em>always</em> give a positive answer.

Since this equals -16, this means that there is no solution.

And we're done!

5 0
2 years ago
Please Help me :)<br> .<br> .<br> .<br> .<br> .
Softa [21]
The correct answer is x = 20
4 0
2 years ago
Read 2 more answers
NEED HELP FAST!!
Dafna11 [192]

Answer:

see below

Step-by-step explanation:

dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3

so for center (4,-2)

distance of (7,4) is 3 n 6 to center

1/3 of distance = 1 n 2

so (7,4) become (4+1, -2+2) = (5, 0) after the dilation


similarly u can find the other 2 pts

distance of (-2,4) is -6 n 6 to center

1/3 of distance = -2 n 2

so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation


distance of (1, 10) is -3 n 12 to center

1/3 of distance = -1 n 4

so (1,10) become (4-1, -2+4) = (3, 2) after the dilation


plot the new triangle using the 3 pts

8 0
2 years ago
An ice cream cone has height of 6 inches and a diameter of 2 inches what is the volume in cubic inches of the ice cream
GrogVix [38]

keeping in mind that radius is half the diameter, we know this cone has a diameter of 2 inches, so it has a radius of 1 inch, kinda small really for ice-cream, but anyhow.

\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1\\ h=6 \end{cases}\implies V=\cfrac{\pi (1)^26}{3}\implies V=2\pi \implies \underset{\textit{rounded up}}{V\approx 6}

5 0
2 years ago
Raj measures the height of 70 plants calculate the estimate of the mean height of the plants
noname [10]

The mean height of plants is 44.07cm.

Given that a raj measures the height of 70 plants which is shown in the table in the image attached below.

The mean is defined as the mean value equal to the ratio of the total number of a given set of values ​​to the total number of values ​​contained in that set.

Firstly, we will find the midpoint of the height by using the formula

(upper limit +lower limit)/2

When h is 10<h<20 then the midpoint is

x₁=(10+20)/2

x₁=15

When h is 20<h<0 then the midpoint is

x₂=(20+40)/2

x₂=30

When h is 40<h<50 then the midpoint is

x₃(40+50)/2

x₃=45

When h is 50<h<60 then the midpoint is

x₄=(50+60)/2

x₄=55

When h is 60<h<90 then the midpoint is

x₅=(60+90)/2

x₅=75

Now, we will find the mean height by using the formula

x=(f₁x₁+f₂x₂+f₃x₃+f₄x₄+f₅x₅)/(Σfi)

Here, f₁=7,f₂=15,f₃=27,f₄=13,f₅=8

and Σfi=7+15+27+12+8=70

Substitute these values in the formula, we get

x=(7×15+15×30+27×45+12×55+8×75)/70

x=(105+450+1215+715+600)/70

x=(3085)/70

x=44.07

Hence,  the estimate of the mean height of the plants when raj measures the height of 70 plants is 44.07cm.

Learn more about mean from here brainly.com/question/3491195

#SPJ4

8 0
1 year ago
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