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bija089 [108]
2 years ago
12

Find the value of x. X + 11 X-1 B 8 10 E x=

Mathematics
1 answer:
Luden [163]2 years ago
6 0

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The product of secant lengths to the two intersection points is the same for both secants.

  (AD)(AE) = (AB)(AC)

  8(8+10) = (x-1)(x-1 +x+11)

  144 = 2x^2 +8x -10

  x^2 +4x -77 = 0

  (x +11)(x -7) = 0

Solutions to this quadratic are x = -11, x = 7. (These values make the factors zero.) Only the positive solution is useful here

  x = 7

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What is the length (magnitude) of the vector (5 -2) <br> a. √29<br> b. 5√5<br> c. 5<br> d.√2
malfutka [58]

Answer:

a. √29

Step-by-step explanation:

The formula for the magnitude of a vector is magnitude = sqrt(x^2 + y^2).

For vector (5, -2):

magnitude = sqrt(5^2 + -2^2)

magnitude = sqrt(25 + 4)

magnitude = sqrt(29)

Therefore, the answer is √29.

Hope this helped :D

8 0
3 years ago
What integer increased by - 12 is 28?
guajiro [1.7K]

Answer:

40

Step-by-step explanation:

Let n represent the integer. Then the increase can be written as ...

n + (-12) = 28

We can add 12 to both sides of this equation:

n + (-12) + (+12) = 28 +12

n + 0 = 40 . . . . . . -12 and 12 total to zero; 28 and 12 total to 40.

n = 40

The integer is 40.

4 0
3 years ago
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ad-work [718]
Well per dozen they are making 8$ per dozen cupcakes, and 7$ per dozen brownies

7 0
3 years ago
Write the prime factorization of each number using exponents.<br> 50 =<br> 20 =
OLEGan [10]
50 = 2 x 25 = 2 x 5 x 5 = 2 x 5^2

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5 0
2 years ago
Simplify 3x + 6x^2 - 5x - x^2
just olya [345]

Answer: -2x + 5x^2

Step-by-step explanation:

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8 0
3 years ago
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