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3 years ago

Solve 0+x^2-10x+30 by completing the square

Mathematics

1 answer:

Korvikt [17]3 years ago

3 0

Answer:

See answer below

Step-by-step explanation:

x² - 10x + 30 = 0

x² - 10x = -30

x² - 10x + 25 = -30 +25 1/2 of the x term and square that number and add to

both side.

x² -10x + 25 = -5

(x - 5)(x - 5) = -5

$\sqrt{(x-5)(x-5)^2}$ = $\sqrt{-5}$

If you are in Algebra II , then the answer is not a real answer it will be

(x - 5)² = ±5i

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One number is 2 more than 3 times another. Their sum is 22. Find the numbers.

ivolga24 [154]

Make a system of equations.

$\sf~x=3y+2$
$\sf~x+y=22$

Re-arrange the 2nd equation:

$\sf~x+y=22$

Subtract y to both sides:

$\sf~x=-y+22$

Plug in -y + 22 for 'x' in the first equation.

$\sf~x=3y+2$

$\sf~-y+22=3y+2$

Subtract 3y to both sides:

$\sf~-4y+22=2$

Subtract 22 to both sides:

$\sf~-4y=-20$

Divide -4 to both sides:

$\sf~y=\boxed{\sf5}$

Plug this into any of the two equations to find 'x':

$\sf~x+y=22$

$\sf~x+5=22$

Subtract 5 to both sides:

$\sf~x=\boxed{\sf17}$

So one of the numbers is 5 and one of them is 17.

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3 years ago

Calculate the surface area of the composite figure

zhannawk [14.2K]

Answer:

Below in bold.

Step-by-step explanation:

Total surface area = 1/2 * area of a sphere + area of the side o a cone

= 1/2 * 4 π r^2 + π r L

= 1/2 * 4 π 7^2 + π*7*25

= 307.876 + 549.779

= 857.65 in^2 to nearest hundredth.

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2 years ago

9/v=3/30 v=__<br> solve the proportion.

Nadya [2.5K]

3/30=9/v
3×3=9
30×3= 90
v=90

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3 years ago

What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00?

Semmy [17]

Answer: 27π in.2 is the answer

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2 years ago

mrs.Smith wants to give 2 hotdogs to each of her 27 guest.Hotdogs come in packages 10 of hotdogs will mrs.smith need to buy.

Mice21 [21]

Answer:

6 packages

Step-by-step explanation:

27 guests x 2 hotdogs = 54 hotdogs

54 hotdogs/packages of 10 = 5.4

round up because 5 packages wouldn't be enough -- so Mrs. Smith needs 6 packages :)

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3 years ago