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Morgarella [4.7K]
3 years ago
12

A number is chosen at random from 1 to 10. Find the probability of selecting factors of 4 and factors

Mathematics
1 answer:
Lena [83]3 years ago
8 0
The ANWSER is 2/4 I hope I helped
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Factor x3-2x2-9x+18 completely if(x+3) is a factor
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Factor x^3 -2x^2-9x+18

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So (x+3) is a factor


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If one leg of a right triangle is 40 units and the other leg is 30 units, what is the length of the hypotenuse (in units)?
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A trapezoid has a base of two and six and an area of 24 square units. What is the height?
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3 years ago
Here's a question ~
Gre4nikov [31]

Answer:

  • (0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

<u>Observations:</u>

  • It has a slope of ±√3 and the y- intercept of 2.
  • There is no horizontal shift, so the the y-axis is the line of symmetry.
  • The y-axis is also an angle bisector of the two lines.
  • The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

<u>The angle YAP₂ is:</u>

  • arctan (1/√3) = 30°

<u>The distance AY is:</u>

  • AY = AP₂ cos 30° = 5*√3/2

<u>The distance from the x-axis to the point Y is:</u>

  • 5√3/2 + 2, added the y- intercept of the graphed lines

<u>The coordinates of the point Y:</u>

  • (0, 5√3/2 + 2)

3 0
3 years ago
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