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sergeinik [125]
4 years ago
15

Find the length of x. Round to the nearest tenth, one decimal place.

Mathematics
1 answer:
azamat4 years ago
3 0
By the rules for secants,
.. AB*AC = AD*AE
.. 5*(5 +x) = 6*(6 +6)
.. 25 +5x = 72
.. 5x = 47
.. x = 9.4

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Simplify: 4 square root of 2 plus square root of 18 minus square root of 9
Ket [755]
I hope this helps you

5 0
3 years ago
Please help! Thanks in advance.
alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
6 0
3 years ago
ANSWER QUICK PICTURE ATTACHED
Sonbull [250]

Answer:

Step-by-step explanation:

x+5+x+7x-5=180 degree (being the interior angles of a triangle)

9x=180

x=180/9

x=20 degree

3 0
3 years ago
Read 2 more answers
How many tons are equal to 40,000 pounds
UNO [17]

The answer is C. 20. Hope this helps!

4 0
3 years ago
Read 2 more answers
Find four consecutive integers with the sum of -142
Akimi4 [234]

n, n + 1, n + 2, n + 3 - four consecutive integers

-142 - the sum

The equation:

n + (n + 1) + (n + 2) + (n + 3) = -142

n + n + 1 + n + 2 + n + 3 = -142

4n + 6 = -142     |subtract 6 from both sides

4n = -148    |divide both sides by 4

n = -37

n + 1 = -37 + 1 = -36

n + 2 = -37 + 2 = -35

n + 3 = -37 + 3 = -34

Answer: -37, -36, -35, -34.

5 0
3 years ago
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