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Vaselesa [24]
2 years ago
9

A. 1) Given

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

<u>Reasons</u>

  1. Given
  2. A midpoint splits a segment into two congruent parts
  3. A triangle with a right angle is a right triangle
  4. HL

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the line segment AB is rotated through 90° clockwise about the point C. the coordinates of A', the image of A, are​
nekit [7.7K]

Answer:

B

Step-by-step explanation:

We dont know rules about rotating a point. We only know rules about rotating about the orgin.

We can translate this line segment so point c is on the orgin because

  • A translation is a rigid transformation
  • We also know rotation rules about the orgin.

Point C is at (1,3) so let move this all points 1 to the left and 3 down. Why All Points?

A translation is parallel from it original image to its second or new image so this means Point B and Point A will both move as well. Let just focus on Point A. The new coordinates are:

  • Point A prime is (1,0).

Let apply the 90 degree clockwise rule. Point C doesnt move since it is at the orgin and it at the center of rotation.

(x,y) goes to (y,-x).

So Point A prime is now at

(0,-1).

Now let translate the figure back to Point C (1,3). by going 1 to the right and 3 up so our new point of Point A prime is at

(1,2).

8 0
3 years ago
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if
Rom4ik [11]
Chang has a 50% probability of getting the white shirt and tan pants
8 0
3 years ago
Read 2 more answers
Write the standard form of the equation of the circle with the center (0,2) that passes through (7,3)
Alex787 [66]

Answer:

x²+y²-4y-46=0

Step-by-step explanation:

the equation of a circle is in the form (x - a)² + (y - b)² = r², where (a,b) is the center of the circle

the equation is (x - 0)² + (y - 2)² = r², where r is the radius. But r is the distance from (0,2) to (7,3)

the distance from two points is given by r² = (x₁ -x₂)² + (y₁ - y₂)²

r²= (0 - 7)² + (2 - 3)²

r² = 49 + 1 = 50

hence the equation is  

                  (x)² + (y - 2)² = 50

                  x²+y²-4y+4 = 50

                 x²+y²-4y-46= 0

5 0
3 years ago
2x^2+3x=(2x-1)(x+1)<br> Pls do explain
Serggg [28]
<h3><u>Answer:</u></h3>

<u />x=-\frac{1}{2}

<h3><u>Step-by-step explanation:</u></h3>

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>

<em />2x^2+3x-(2x-1)(x+1)=0

<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>

<em />2x+1=0

<em>STEP 3: </em><em>Simplify each term.</em>

<em />2x^2+3x-2x^2-x+1=0

<em>STEP 4: </em><em>Simplify by adding terms.</em>

<em />2x+1=0

<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>

<em />2x=-1

<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>

<em />x=-\frac{1}{2}

SOLVE BY USING THE QUADRATIC FORMULA STEPS

<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>

<em />2x+1=0<em />

<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>

<em />2x=-1<em />

<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>

<u />x=-\frac{1}{2}

5 0
3 years ago
Read 2 more answers
Is y=x^2+7 a linear equation?
tankabanditka [31]

Answer:

No, it is not a linear equation

Step-by-step explanation:

This equation contains the term x², meaning that it is a quadratic function (parabola)

So, it is not a linear equation.

If it were a linear equation, x would not be squared, and the equation would have been in y = mx + b form.

The answer is no, it is not a linear equation.

7 0
3 years ago
Read 2 more answers
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