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nikdorinn [45]
4 years ago
10

Ke Shawn is placing a right triangle in the coordinate plane. He knows that the longer leg is twice the length of the shorter le

g. He places the longer leg on the x-axis.
What coordinates should he assign to the third vertex of the triangle?

Mathematics
1 answer:
Nezavi [6.7K]4 years ago
7 0
If the length of the short leg is "a" then the length of the long leg should be "2a" and since the point is on the x axis the point is (2a,0) because the y=0
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Solve the following equations by completing the square.<br> x2 + 4x = 21
Rom4ik [11]

Answer:

x = 3 or -7

Step-by-step explanation:

Recall that for a quadratic equation in the form:

Ax² + Bx = C

we need to add (B/2)² to both sides of the equation to

In our case, we are given:

x² + 4x = 21    

compared to the general equation above, B = 4, hence we need to add (4/2)² to both sides

x² + 4x      = 21     (complete the square)

x² + 4x +   (4/2)²   = 21   + (4/2)²

x² + 4x +   2²   = 21   + 2²

(x+ 2)²   = 21   + 4

(x+ 2)²   = 25  (take square root of both sides)

(x+2) = ±√25

(x+2) = ±5

hence

(x+2) = +5----> x = 5 - 2 = 3 (answer)

or

(x+2) = -5  ----> x = -5 - 2 = -7(answer)

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3 years ago
Which of the following equations is equivalent to S = pi r squared h?
skad [1K]

Answer:

Step-by-step explanation:

8 0
3 years ago
john is looking at a map with a scale of 1/4 inch=20 miles. he measured the distance from his home to the bowling alley in town
Sergio039 [100]
1 inch=80mi

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3 years ago
−9x (5x+4 ) +10 (x+3) can someone please solve his for me thank u step by step please i really need to find out how to do it
Ivahew [28]

Answer:

-45x^{2}-26x+30

Step-by-step explanation:

So first you let's divide this equation into three parts.

Part one -9x(5x+4)

  1. Step one: you have to distribute the -9x to the numbers in the parentheses. That would leave us with a -9x*5x = -45x^{2} and -9x*4 = -36x
  2. Step two: Put the answers together. That would leave us with -45x^{2}-36x.

Part two 10(x+3)

  1. Step one: you have to distribute the 10 to the numbers in the parentheses. That would leave us with a 10*x = 10x and 10*3 = 30
  2. Step two: Put the answers together. That would leave us with 10x+30

Part three solve

  1. Step one: combine and put together what you have solved for. That would leave us with a -45x^{2}-36x+ 10x+30
  2. Step two: combine like terms. The like terms here are -36x and 10x. When you combine them you would get -26x.
  3. Step three: Write the equation in standard form. Therefore the answer is -45x^{2}-26x+30.

Let me know if anything is confusing!

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3 years ago
Find the measures of the interior angles.
Lostsunrise [7]

Answer:

x=60 degrees

Step-by-step explanation:

All triangles equal to 180 degrees. 180-30=150-90=60

3 0
3 years ago
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