3 years ago

PLEASE HELP: A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters.

Mathematics

1 answer:

7nadin3 [17]3 years ago

7 0

Answer:

330

Step-by-step explanation:

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Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.

nikitadnepr [17]

The quadratic has one root with multiplicity 2 if the discriminant is 0, which is

$(2m+4)^2-4(4-m)(8m+1)$

(That is, for a quadratic $ax^2+bx+c$ , the discriminant is $b^2-4ac$ .)

Set the discriminant equal to 0 and solve for $m$ :

$(2m+4)^2-4(4-m)(8m+1)=0$

$4m^2+16m+16+32m^2-124m-16=0$

$36m^2-108=0$

$36m(m-3)=0$

$\implies m=0\text{ or }m=3$

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3 years ago

Brian invested $3,000 in an account that paid a simple interest rate of 1.7%. When he cashed in the investment, he received $306

lesya692 [45]

Answer:

$165

Step-by-step explanation:

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2 years ago

Aubrey used 4/7 liters of paint for a mural in her room and 2/10 liter for a wall in her bathroom. Determine a reasonable estima

NemiM [27]

Answer:

27/35 is the exact answer

7/10 is an estimate

Step-by-step explanation:

4/7+2/10

Simplify the fraction

4/7+1/5

The common denominator is 35

4/7*5/5 + 1/5 *7/7

20/35 + 7/35

27/35

To estimate

4/7 is close to 1/2

2/10 is close is 1/5

1/2 + 1/5 =

5/10 + 2/10 = 7/10

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3 years ago

Write an equation of the circle with center (4,5) and radius 9.

mixer [17]

Answer:

I'm going to write both of these because maybe you have a fill in the blank question. I don't know.

$(x-4)^2+(y-5)^2=9^2$

Simplify:

$(x-4)^2+(y-5)^2=81$

Step-by-step explanation:

$(x-h)^2+(y-k)^2=r^2$ is the equation of a circle with center (h,k) and radius r.

You are given (h,k)=(4,5) because that is the center.

You are given r=9 because it says radius 9.

Let's plug this in.

$(x-4)^2+(y-5)^2=9^2$

Simplify:

$(x-4)^2+(y-5)^2=81$

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3 years ago

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Divide 2,756 into 1,375,244

alexgriva [62]

Answer:

499

Step-by-step explanation:

you take 1,375,244/2,756=499

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3 years ago

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