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spin [16.1K]
2 years ago
13

What is the equation of the quadratic function y= x^2+24x+29 in vertex form?

Mathematics
1 answer:
Ahat [919]2 years ago
7 0
Vertex form is y=a(x-h)^2+k
you need to find a perfect square
y=x^2+24x+<u>     </u>+29 -<u>     
</u>y=x^2+24x+144+29-144
y=(x+12)^2 +29-144
y=(x+12)^2-115
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8' 4" − 2' 6" = ??' ??"
SCORPION-xisa [38]

Answer:

5' 10"

Step-by-step explanation:

We subtract by converting into one measurement. We will choose inches.

8'4"= 96"+4"=100" since 8' has 8(12) inches

2'6"=24+6=30" since 2' has 2(12) inches

Subtract.

100"-30"=70"

We convert back into feet and inches by dividing by 12.

70/12= 5' 10"

4 0
3 years ago
The population of a city in the year 2000 was 4,400. In 2010, the population was 5,060. Find the percent increase in the populat
larisa86 [58]

Answer:

total population in the year 2000=4400

total population in the year 2010=5060

no of people increased=5060-4400

=660

increase percent=660/4400*100%

=3/20*100%

=15%

Step-by-step explanation:

15/100*5060

0.15*5060

759

in 2020 population will be

5060+759

5819

therefore the population will be 5819 in 2020

6 0
2 years ago
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6v(2v + 3) 2) 7(−5v − 8)
AleksAgata [21]

Answer:

6v(2v+3)2)7(-5v-8)

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4 0
3 years ago
The vertices of triangle PQR are P(10,-6), Q(6,2), &amp; R(4,-1). Describe a translation that places the image of the triangle e
Gnoma [55]

Answer:

Translate 7 units up and then translate 11 units to the left.

Step-by-step explanation:

We have the triangle PQR having co-ordinates (10,6), (6,2) and (4,-1).

It is required to translate ΔPQR so that the resulting image is completely inside the 2nd quadrant.

So, for that we will apply the following sequence of translations:

1. Translate 7 units up.

This will give us the figure in the 1st quadrant having co-ordinates (10,1), (6,9) and (4,6).

2. Translate 11 units to the left

We will get the final triangle P'Q'R' with the co-ordinates P'(-1,1), Q'(-5,9) and R'(-7,6) as shown below.

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3 years ago
Identify the property that justifies the following statement:
Doss [256]

Answer:

a

Step-by-step explanation:

3 0
3 years ago
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