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3 years ago

What is the image of the point (2, 3) after a rotation of 180° counterclockwise about the origin?

Mathematics

1 answer:

zimovet [89]3 years ago

6 0

Answer:

(-2,-3)

Step-by-step explanation:

For a counterclockwise rotation of 180° about the origin,(x,y)–(-x,-y)

Therefore

(2,3)–(-2,-3)

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everyday Penelope jogs three laps around the playground to keep in shape the playground is rectangular with the width of 163 m a

Veronika [31]

Answer:

The total amount of meters in one lap is 966

Step-by-step explanation:

we know that

The total amount of meters in one lap is the same that the perimeter of the rectangular playground

The perimeter of the rectangular playground is equal to

$P=2(L+W)$

we have

$L=320\ m\\W=163\ m$

substitute

$P=2(320+163)$

$P=966\ m$

3 0

2 years ago

Factor Completely: 10x + 15

tankabanditka [31]

Answer:

5(2x + 3)

Step-by-step explanation:

$10x + 15 \\ \\ = 2 \times 5 \times x + 3 \times 5 \\ ( take \: common \: factors \: out )\\ = 5(2 \times x + 3) \\ \\ = 5(2x + 3)$

3 0

1 year ago

Read 2 more answers

Round 0.971 to the nearest tenth

Flura [38]

Answer:

1.0

Step-by-step explanation:

You are rounding to the nearest tenth, so you should have only 2 places remaining (0.0). So, you look to the 7 to change the 9. 7 is bigger than 5, so you round 9 up. Since 9 plus 1 equals 10, the final answer is 1.0.

Hope this helps! :)

5 0

3 years ago

Read 2 more answers

-6 - 3(2x + 4) = 18what’s the answer

Brrunno [24]

Answer:

$x=-6$

Step-by-step explanation:

$-6-3\left(2x+4\right)=18$

Add 6 to both sides:

$-6-3\left(2x+4\right)+6=18+6$

$-3\left(2x+4\right)=24$

Divide both sides by -3:

$\frac{-3\left(2x+4\right)}{-3}=\frac{24}{-3}$

$2x+4=-8$

Subtract 4 from both sides:

$2x+4-4=-8-4$

$2x=-12$

Divide both sides by 2:

$\frac{2x}{2}=\frac{-12}{2}$

$x=-6$

7 0

3 years ago

The house has a form of a rectangle with one side two and a half times as long as the other side. a Construct the expression for

Nookie1986 [14]

Answer: $A=2.5x^{2}$

Step-by-step explanation:

1. Let's write the following formula for calculate the area of a rectangle:

$A=yx$

Where $y$ is the lenght (the longer side) and $x$ is the width (the shorter side).

2. You know that the length is 2.5 times as long as the other side, which indicates a multiplication. Then:

$y=2.5x$

3. So, you must substitute $y$ into the equation for calculate the area of the rectangle and then you must simplify.

4. Then, you obtain the following expression:

$A=(2.5x)(x)\\A=2.5x^{2}$

4 0

3 years ago