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Elza [17]
3 years ago
15

Given the equation (x-a)^2(x-2)=x^3+bx^2+12x-72 find a and b

Mathematics
1 answer:
ivann1987 [24]3 years ago
3 0
Isolate the variable by dividing each side by factors that don't contain the variable.

a=- \frac{ x^{2}- \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2} ,- \frac{ x^{2}+ \sqrt{( x^{3} + x^{2} b+12x-72(x-2)-2x} }{x-2}

Solve for b by simplifying both sides of the equation then isolating the variable.

b= \frac{12}{x}+ \frac{72}{ x^{2} }-2+2a- \frac{4a}{x}+ \frac{ a^{2} }{x}- \frac{2a^{z} }{ x^{2} }

Hopefully i helped ^.^ Mark brainly if possible. Lol once again i saw the same question so why not answer it again!
 


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A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o
MissTica

Given:

Number calories in a 6-inch pizza = 640 calories

For the pizza of 6 inch

A=\pi(3)^2=9\pi

For the pizza of 12 inch

A=\pi(6)^2=36\pi

Number calories in a 6-inch pizza = 640 calories, therefore:

\frac{A_{6\text{ inch}}}{A_{12\text{ inch}}}=\frac{640}{x}

Substitute:

\begin{gathered} \frac{9\pi}{36\pi}=\frac{640}{x} \\ Simplify \\ \frac{1}{4}=\frac{640}{x} \end{gathered}

And solve for x:

\begin{gathered} 1\cdot x=4\cdot640 \\ x=2560 \end{gathered}

Now, Estimate the number of calories in one slice of a 12 inch pizza:

\frac{2560}{8}=320

Answer: 320 calories

4 0
1 year ago
Which property is used in the problem below?<br><br> 2(x+4)=2x+8
frutty [35]

Answer:

You would use the distributive property.

Step-by-step explanation:

2(x+4) = 2x+8

2x+8x = 2x+8

10x = 2x+8

10x - 2x = 2x-2x+8

8x = 8

8x/8 = 8/8

x = 1

7 0
3 years ago
Dwayne buys ingredients to make a cake. He buys 1 1/2 pounds of flour, 12 ounces of coconut, and 1 1/4 pounds of sugar. What is
AVprozaik [17]

Answer:

3.05 or 31/2 pounds

56 ounces

Step-by-step explanation:

To find the total weight all the weights have to have the same units of measurements

It is either pounds is converted to ounces or ounces is converted to pounds

1. convert ounces to pound

1 ounce = 0.0625

12 ounces = 0.0625 x 12 = 0.75 pounds or 3/4

add together = 1 1/2 + 3/4 + 1 1/4 = 1\frac{1}{2} + \frac{3}{4}  + 1\frac{1}{4}

2\frac{2 +3 + 1}{4} = 2\frac{6}{4} = 3 1/2

2. 16 ounces = 1 pound

flour = 16 x 1 1/2 = 24

sugar = 16 x 1 1/4 = 20

total = 24 + 20 + 12 = 56 ounces

6 0
3 years ago
An empty bucket is placed under a faucet dripping at a constant rate of 4 milliliters per minute. With the given information, wh
GarryVolchara [31]

the answer is true i think

8 0
4 years ago
Read 2 more answers
I have a strange True or False question on my packet.. But here I go: "A trapezoid has two 90 degree angles." Is it true or fals
alex41 [277]

Answer:

False unless a right trapezoid.

Step-by-step explanation:

All trapezoids have 4 angles which add to 360 degrees. The angles can be any measure except in a right trapezoid which does have two 90 degree angles. It is not a requirement to be a trapezoid though so this is false.

8 0
3 years ago
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