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kompoz [17]
3 years ago
5

What are the solutions to x^2 + 8x + 7 = 0

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0
So to solve this you need to reverse factor this problem

x^2 + 8x + 7 = 0

The common formula is this for factoring ax^2 + bx + c

Now you have to think what multplties to "c" and adds up to "b".

So in this case it's 7 x 1 = 7 and 7 + 1 = 8

So you set it up like this

(x + 7)(x + 1) = 0

So now you can check the factors by multiplying them together and see if it gets your original equation which is does.

So finally to get the answers you need to set each parenthesis to 0 and solve for x.

x + 7 = 0

x + 1 = 0

and we get x = -1 and - 7

You can also plug these two answers back into your original equation to see if it equals 0.

If you have any questions please feel free to comment

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LiRa [457]

Answer:

21

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Given that R= 9x + 8y<br> Find y when x = 3 and R= 27
Amiraneli [1.4K]

Answer:

1/3 or 0.3 (recurring)

Step-by-step explanation:

Let's substitute our numbers into the equation.

27 = 9x + 24             I multipled 8 by 3 in order to get 24, because x equals 3.

Now take away 24 leaving 9x on its own.

3 = 9x

Divide 9 to separate it from x.

3/9 = x

Simplify the fraction.

1/3 = x

5 0
3 years ago
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. he finds the mean is 14. his steps for
german
The complete question in the attached figure N 1

we know that
The formula for Sample Standard Deviation is indicated in the attached figure N2
n in this problem is 4 <span>and Yuri had to divide in the formula by 3  </span>

therefore

the answer is
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8 0
4 years ago
The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
what's the equation for the length of a rectangle is twice its width the perimeter of the rectangle is 126 feet
sveticcg [70]
P = 2l + 2w
p-2w = 2l
p-2w/2 = l

Substitute the perimeter and you should be able to work it out
6 0
3 years ago
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