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Rom4ik [11]
3 years ago
15

Rotate the given triangle 180° counter-clockwise about the origin. [ 0 -3 5 ] [0 1 2]​

Mathematics
2 answers:
Neporo4naja [7]3 years ago
4 0
The answers are : (alike the box order)
3 - 5
-1 -2
inysia [295]3 years ago
3 0

Answer:

  \left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right]

Step-by-step explanation:

Rotation 180° (in either direction) about the origin causes each coordinate to have its sign changed. Effectively, the coordinate matrix is multiplied by -1.

__

<em>Additional comment</em>

This is equivalent to reflection across the origin.

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Please help! I will mark as brainliest IF answer is right. &lt;3
fenix001 [56]

Answer:

The length of the long side is 147 ft

The length of the short side is 30 ft

Step-by-step explanation:

L=5s-3

s= 324-2L

324=2(5s-3)+s

distribute

324=10s-6+s

simplify

324=11s-6

add 6 to both sides

330=11s

divide by 11

30=s

Plug in the s value to determine the length of the long side

6 0
3 years ago
The length of a rectangle is x. The width of the rectangle is (x + 10). Write an expression for the area of the rectangle.
Fed [463]

Answer:

A=x^2+10x

Step-by-step explanation:

<u>Area of a Rectangle</u>

Given a rectangle of width W and length L, its area can be calculated with the formula:

A = WL

We are given the length of a rectangle is L=x and the width is W=x+10, thus the area is:

A=x(x+10)

Multiplying:

\mathbf{A=x^2+10x}

8 0
3 years ago
R is (-8,2) and RS is (-1,5) what are the coordinates of S?
Alexxx [7]

Answer:

detailed

Step-by-step explanation:

answer

7 0
3 years ago
3/4 cup of sugar is needed to make six muffins. How much sugar is in each muffin?
tia_tia [17]
1/8 cup of sugar in each mufin
4 0
3 years ago
Drag each tile to the correct box. Not all tiles will be used.
Zina [86]

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years  -> $124.74

$1,025 at 2.8% for 5 years​ -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

5 0
4 years ago
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