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2 years ago

How could you use the distributive property to check your factoring?

1 answer:

7 0

Easy just do this multiply the percent by 100 then divide the answer you got with the other number that is left and that will be your answer

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25 POINTS AVAILABLE

myrzilka [38]

Answer:

$\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}$

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

1. We have the equation:

$(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2$

<h2 />

2. We have the center (-4, 3) and the radius r = 6. Substitute:

$(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36$

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

7 0

3 years ago

4x - 4 + 112 = 23x - 6

Debora [2.8K]

Answer:

x=6

Step-by-step explanation:

I hope it's helpful

4 0

2 years ago

Read 2 more answers

HELP!!!!!

antoniya [11.8K]

Answer: 82°

Step-by-step explanation:

<CDE = far arc - near arc / 2

i.e

<CDE = arcCBE - arcCE / 2

arcCE = 98°

arcCBE = 360° - 98° = 262°

<CDE = 262° - 98° / 2

<CDE = 164 / 2

<CDE = 82°

Therefore the measure of < CDE is 82°

8 0

3 years ago

Read 2 more answers

Please use statemnet reasoning!

dlinn [17]

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO <u>congruent</u> angle EWN Vertical Angles

angle OHW <u>congruent</u> angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

5 0

2 years ago

Read 2 more answers

There are twenty cards labeled from 1 to 20 in a bag. A card is randomly selected from the bag.

AveGali [126]

If you are asking for the probability of getting a certain card you have a 1/ 20th chance

If you are asking for a percentage there is a 5% chance of getting any card

4 0

3 years ago