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jeka94
3 years ago
13

If P = (3,2), find the image

Mathematics
1 answer:
Tamiku [17]3 years ago
4 0

Given:

The point P = (3,2) is rotated 270° counterclockwise about the origin.

To find:

The image of the given point after rotation.

Solution:

If a point rotated 270° counterclockwise about the origin, then the rule of rotation is:

(x,y)\to (y,-x)

Using this rule, we get

P(3,2)\to P'(2,-3)

Therefore, the image of given point P = (3,2) after the rotation of 270° counterclockwise about the origin, is P'(2,-3).

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Which of the following tables represent a proportional relationship?
otez555 [7]

Answer:

B.

Step-by-step explanation:

If you want to find a table with a proportional relationship, you are looking for one where the x-values and y-values increase at the same linear rate.

In Option A, the x-values increase steadily by 1 and then by 2, but the y-values jump around. The numbers are not proportional.

In Option B, every time an x-value is presented, the y-value is two times the value of x. So, this is a proportional relationship.

In Option C, it is true that for almost every time an x-value is presented, the y-value doubles the x-value, but when x is 0, y is 1. That is not a proportional relationship.

In Option D, it is the same thing as Option A.

So, your answer is Option B.

Hope this helps!

5 0
4 years ago
Read 2 more answers
Solve for a side in right triangles
natita [175]

Answer:

  2.30

Step-by-step explanation:

The side of interest is opposite the given angle, and the hypotenuse is given. The sine relation tells you ...

  sin(A) = a/c

  a = c·sin(A) = 3·sin(50°)

  a = BC ≈ 2.2981 ≈ 2.30

5 0
4 years ago
19. Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of (3 points)
kvasek [131]

Answer:

The answer is "17 students with Mr. Green take exactly two courses".

Step-by-step explanation:

Following are the calculation to this question:

Alone band 11

Alone chorus 17

Choir and band alone 4

7 Maths alone and the band

Choir and Math alone 6

Chorus and Math Band 3

mathematics alone 9 +11+4+10+6+17  + M = 57

so

2 classes = 4+7+6 = 17

So, there are 17 students with Mr. Green take exactly two courses.

8 0
3 years ago
What is the answer of 2 into 2
juin [17]

Answer:The answer of 2 into 2 is 4

Step-by-step explanation:

2×2=4

6 0
3 years ago
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What are the values of the coefficients and constant term of 0=4-7x^2+x in standard form?
svlad2 [7]

For this case we have that by definition, a quadratic equation is of the form:

ax ^ 2 + bx + c = 0

Where:

ax ^ 2: It is the quadratic term

bx: It is the linear term

c: It is the independent term

So, if we have the following expression:

0 = 4-7x ^ 2 + x

We rearrange:

-7x ^ 2 + x + 4 = 0

We have to:

-7: It is the quadratic coefficient

1: It is the linear coefficient

4: It is the independent term

ANswer:

-7: It is the quadratic coefficient

1: It is the linear coefficient

4: It is the independent term

3 0
3 years ago
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