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Taya2010 [7]
3 years ago
7

Which of the following tables shows the correct steps to transform x^2+8x+15=0 into the form of (x-p)^2=q (p and q are integers)

Mathematics
2 answers:
Montano1993 [528]3 years ago
8 0
<span>The best and most correct answer among the choices provided by the question is the third choice:
table 3:
step 1.x^2+8x+15+1=0+1
step 2.x^2+8x+16=1
<span>step 3.(x+4)^2=1</span>

I hope my answer has come to your help. God bless and have a nice day ahead!</span>
lara31 [8.8K]3 years ago
4 0

Answer:

Table three is the right answer

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What's the gcf of 24 and 162
exis [7]
The GCF is 6
6x4=24 and 6x27=162
5 0
3 years ago
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Exchange rates help you to know ____.
Vika [28.1K]

Answer:

B

Step-by-step explanation:

how much your currency is worth in a different currency

hope this helps <3

3 0
3 years ago
In a certain neighborhood, there's a sagging power line between two utility poles. The utility poles are 50 feet tall and 120 fe
e-lub [12.9K]
<h3>Answer:  33.75 feet</h3>

In fraction form, this value is equal to 135/4

33.75 ft is equivalent to 33 ft, 9 inches.

===============================================

Explanation:

Refer to the diagram below.

The key point to start with is point H, which is the vertex of the parabola.

Recall that vertex form is

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

What we'll do is plug in the vertex (h,k) = (60,30) which is the location of point H. We'll also plug in (0,45) which is the y intercept, aka the location of point C.

So,

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

y = a(x-60)^2 + 30 .... plug in vertex

45 = a(0-60)^2 + 30 .... plug in y intercept coordinates

45 = a(-60)^2 + 30

45 = a(3600) + 30

45 = 3600a + 30

45-30 = 3600a

3600a = 15

a = 15/3600

a = 1/240

This then means:

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

y = (1/240)(x-60)^2 + 30

This is the equation of our parabola. Plug in x = 30 to determine the height of point K

y = (1/240)(x-60)^2 + 30

y = (1/240)(30-60)^2 + 30

y = (1/240)(-30)^2 + 30

y = (1/240)(900) + 30

y = 15/4 + 30

y = 15/4 + 120/4

y = 135/4

y = 33.75

Therefore, the height of the power line, when it is 30 feet away from one of the poles, is 33.75 feet. This is the y coordinate of point K.

Side note: 33.75 ft = 33 ft + 0.75 ft = 33 ft + 12*0.75 in = 33 ft + 9 inches

8 0
2 years ago
What is the length of x?
Marat540 [252]

Answer:

The length of 'x' is 4

Step-by-step explanation:

We can use the pythagorean theorem to solve this.

The pythagorean theorem is:

a ^{2}  + b^{2}  =  {c}^{2}

a ^{2}  + b^{2} =  c^{2}  \\  {3}^{2}  +  {b}^{2}  = 5^{2}  \\ 9 +   {b}^{2}  = 25 \\  \frac{ - 9 \:  \:  \:  \:  \:  \:  \:  \:  =  - 9}{b ^{2}  =  \sqrt{16} }  \\ b = 4

Therefore x = 4

8 0
3 years ago
4/5 of a class is girls and there are 8 boys. How many total in class.
Ann [662]

Answer:

40

Step-by-step explanation:

a+b=c

a=girls

b= boys

c= total

the statement tell us:

4/5 of a class is girls:

a=(4/5)*c

boys=b=8

c=a+b

so we have:

c=(4/5)*c + 8

c-(4/5)*c=8

(5c-4c)/5 = 8

c/5=8

c=8*5

c=40

total=40

3 0
3 years ago
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