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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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How can you find the Mean Absolute Deviation (MAD) for this set of data?
den301095 [7]

Answer: Add all the absolute deviations and divide by number of swimmers.


Step-by-step explanation:

To find the mean absolute deviation of any data we need to follow the following steps:

  • Start by finding the mean of the data set.
  • Find the absolute value of the difference between each data value and the mean.
  • Find the sum of the absolute values of the differences.
  • Divide the sum of the absolute values of the differences by the number of data values.

We can see in the picture that it already dome with first two steps so the step after that is " Add all the absolute deviations and divide by number of swimmers."


5 0
3 years ago
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What is five to the second power in expanded form and standard
ad-work [718]

Step-by-step explanation:

3 0
3 years ago
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Two scuba divers are 30m apart below the surface of the water. They both spot a shark that is below them. The angle of depressio
Ostrovityanka [42]

Answer:

distance of diver 1 from the shark ≈ 18.88 m

Step-by-step explanation:

The illustration forms a triangle. The base of the triangle which is their distance apart is given as 30 m . The known angle of the triangle are 52° and 39°. To find the unknown side we subtract the sum of 52° and 39° from 180°. Note that the total angle in a triangle is 180°.

Therefore,

180 - (52 + 39) = 180 - 91  = 89 °. Now the three angle of the triangles are 52°, 39° and 89°.

Using the law of sine we can find the distance of the diver 1 from the shark.

let a = distance of the first diver to the shark.

a/sin 39° = 30/sin 89°

cross multiply

a sin 89° = 30 sin 39°

divide both sides by sin 89°

a = 30 sin 39°/sin 89°

a = 30 × 0.62932039105 /sin 89°

a = 18.8796117315 /0.99984769515

a = 18.8824876258

a ≈ 18.88 m

3 0
3 years ago
PLZ HELP!
Sladkaya [172]

Answer:

Step-by-step explanation:

hey i think its A)2/3

3 0
3 years ago
The triangle has a perimeter of 65 feet. What are the lengths of sides l,m,<br> and n<br> ?
kenny6666 [7]

Answer:

l = 10 feet, m = 30 feet and n = 25 feet

Step-by-step explanation:

The attached figure shows a triangle in which three sides as as follows :

l=\dfrac{1}{3}m, m and n=l+m-15

Perimeter of triangle is 65 feet.

Perimeter = sum of all sides

l+m+n=65

put the value of n

l+m+l+m-15=65\\\\2l+2m=80\\\\l+m=40

Now put the value of l

\dfrac{1}{3}m+m=40\\\\\dfrac{4}{3}m=40\\\\m=30\ \text{feet}

⇒ l=\dfrac{1}{3}\times 30=10\ \text{feet}

And

n=10+30-15=25\ \text{feet}

Hence, l = 10 feet, m = 30 feet and n = 25 feet.

6 0
3 years ago
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