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never [62]
3 years ago
7

BRAINLIEST AND 30 POINTS FOR WHOEVER CAN EXPLAIN HOW TO GET THESE ANSWERS...

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Step-by-step explanation:

  • Since m∠ACM = 90°, then by angle addition, m∠ACP + m∠PCM = 90°.
  • Since CP⊥ AM, then by definition of perpendicular, m∠APC = 90°.  Since angles of a triangle add up to 180°, that means m∠PAC + m∠ACP = 90°.
  • By substitution, m∠PCM = m∠PAC.
  • Since m∠PCM + m∠CMP = 90°, then by substitution, m∠CMP = m∠PAC.
  • Therefore, by AAA, △ACP and △CMP are similar.

Having proven that the triangles are similar, we can write the proportion:

AP / CP = CP / MP

9 / CP = CP / 16

CP² = 144

CP = 12

Now, we can simply use Pythagorean theorem to find the other sides.

AC² = AP² + CP²

AC² = 9² + 12²

AC = 15

CM² = CP² + PM²

CM² = 12² + 16²

CM = 20

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Vlad [161]
Correct Answer:
3rd option is the correct answer

Solution:
The zeros of the polynomial are -1,1 and 3. The multiplicity of 3 is 2. So the polynomial can be expressed as:

y=a (x-3)^{2}(x-1)(x+1)

The y-intercept of the polynomial is -18. This means the polynomial passes through the point (0,-18). Therefore, y must be -18 when x = 0. Using these values of x and y in previous equation we get:

-18=a (0-3)^{2}(0-1)(0+1) \\  \\ 
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The final equation of the polynomial becomes:

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7 0
3 years ago
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Answer:

17.5 cm

Step-by-step explanation:

Multiply 0.7 by 25 to get 17.5 cm.

Hope it helped.

8 0
3 years ago
The area of a rectangular portrait is 20 square feet. It is 4 feet wide. How high is it?
vladimir2022 [97]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square
Rina8888 [55]
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3x² = x²+10x+12x+120
3x² = x²+22x+120
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0 = -2x²+22x+120
Factor to solve for x: 
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(x+4)(x-15)
x = -4  & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.
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lbvjy [14]

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3 0
3 years ago
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