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3 years ago

10

In this figure, A'B'C'D'is a transformation of ABCD.

1 answer:

siniylev [52]3 years ago

6 0

Answer:

translation and um thats all

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Please, help I don’t understand what im supposed to do.

Blizzard [7]

Answer:

16,800 votes.

Step-by-step explanation:

In the singing competition 42,000 votes were counted.

The winner received 3/5 of the votes.

The part of the votes that the winner did not receive was 1 - 3/5 = 2/5

So the winner did not receive 2/5 of 42,000 votes which is equivalent to:

$\frac{2(42,000)}{5}$ = 16,800 votes.

3 0

3 years ago

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antiseptic1488 [7]

Nemo is a great guy im telling u man

5 0

2 years ago

Find the equation of the line with a slope of 3/4 that goes through the point (8,10)

GenaCL600 [577]

the answer is ......... y=3/4+10

7 0

3 years ago

Read 2 more answers

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

<u>For the first parenthesis:</u>

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

<u>For the second parenthesis:</u>

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

PLEASE I WILL GIVE BRAINLIEST

nevsk [136]

Answer:

easy....

Step-by-step explanation:

im in 5th grade.... may i plz still have brainlest???

4 0

3 years ago