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Deffense [45]
2 years ago
5

Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
5 0

Answer:

U(2, 7) → U'(-7, 2)

V(10, 7) → V'(-7, 10)

W(2, 3) → W'(-3, 2)

Step-by-step explanation:

From the picture attached,

Coordinates of the vertices of the given triangle,

U → (2, 7)

V → (10. 7)

W → (2, 3)

Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,

P(x, y) → P'(-y, x)

Here point P is the preimage and P' is the image point after rotation.

By this rule,

U(2, 7) → U'(-7, 2)

V(10, 7) → V'(-7, 10)

W(2, 3) → W'(-3, 2)

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A rectangular prism and its dimensions are shown in the diagram.
Sergeu [11.5K]

Answer:

148.2

Step-by-step explanation:

LA= PH

P= 8.2+8.2+3.2+3.2=22.8 in

H= 6.5 in

PH= 22.8(6.5)= 148.2 in

8 0
2 years ago
Which of the following equations describes the line shown below? Check all that apply (-2,6) and (4,3)
avanturin [10]
A and F are true. because A is y=2x+7, and F is y=2x+7. 
We know that the equation y=2x+7 has a point 0,7 and with the slope being 2, rise over run would make another point 1,9. And because these are linear equations if the equation y=2x+7 goes through 1,9 then it will go though -2,3 as well.
7 0
3 years ago
Factor completely 3x2 − 11x 8. (x 4)(3x − 2) (x − 2)(3x − 4) (x 1)(3x − 8) (x − 1)(3x − 8).
earnstyle [38]

The factors of the equation 3x^{2} -11x+8 will be (3x-8)(x-1)

<h3>What will be the factors of the given equation?</h3>

When we split the equation into two groups we will get

3x^{2} -3x-8x+8

3x(x-1)-8(x-1)

Now taking (x-1) common

(3x-8)(x-1)

Thus the factors of the equation 3x^{2} -11x+8 will be (3x-8)(x-1)

To know more about the factors of quadratic equation follow

brainly.com/question/1214333

3 0
2 years ago
Hey can you please help me posted picture of question
Oksanka [162]
The statement is true.

P(A|B) is the probability of occurrence of event A, provided that(given that) event B has already occurred.

This is known as conditional probability. In conditional probability, the event on right side of the vertical bar (which is B in this case) is given to have already occurred (either we assume this, or some evidence is given about this) and we calculate the probability of event on left of the vertical bar (which is A in this case) based on this information. The formula of condition probability is:

P(A|B)= \frac{P(A*B)}{P(B)} 

P(A*B) indicates the probability of intersection of event A and B.

So the correct answer is TRUE.
5 0
3 years ago
The length of each edge of a cube is x centimeters. If x is an integer, why is the volume of the cube not equal to 15m^3?
Nadusha1986 [10]

Suppose the length of each side of the cube is x, so the volume must be:  

x^3.  

If the volume is 15 cm^3, so the length must be cuberoot(15) which is not integer,. So, the volume of the cube with integer side never equal with 15 cm^3

4 0
3 years ago
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