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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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If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
agasfer [191]

Answer:

  • g(x) = x + 3

Step-by-step explanation:

<h3>Given</h3>
  • h(x) = (f ο g)(x)
  • h(x) = \sqrt{x+5}
  • f(x) = \sqrt{x+2}
<h3>To find</h3>
  • g(x)
<h3>Solution</h3>

<u>We know that:</u>

  • (f ο g)(x) = f(g(x))

<u>Substitute x with g(x) and solve for g(x):</u>

  • \sqrt{x+5} = \sqrt{g(x)+2}
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  • x + 3 = g(x)
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7 0
3 years ago
6y^2-25y+14 factor <br><br> Help please
LUCKY_DIMON [66]

Answer:

(3y - 2)(2y - 7)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

Product = 6 × 14 = 84 and sum = - 25

The required factors are - 4 and - 21

Use these factors to split the y- term

6y² - 4y - 21y + 14 ( factor the first/second and third/fourth terms )

2y(3y - 2) - 7(3y - 2) ← factor out (3y - 2) from each term

= (3y - 2)(2y - 7) ← in factored form

8 0
3 years ago
The number of charter schools is 4 less than twice the number of alternative schools and there are 48 charter schools how many a
jarptica [38.1K]
Let x = the number of alternative schools.

Therefore, 2x - 4 = 48.
                  2x -4 +4 = 48 + 4
                  2x = 52
                    x = 26

Therefore, there are 26 alternative schools(You could check this answer by substituting x=26 into the equation above.).
7 0
3 years ago
HELP me please!!!!!<br> What is the slope of the graph.
Maksim231197 [3]

Answer:

2/7

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The diameter of a hula hoop is 32 inches. What is the circumference of the hula hoop? Use 3.14 for π (pi).
marishachu [46]

Answer:

circumference =2piexd

=2×3.14×32

=200.96

8 0
2 years ago
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