MATHEMATICS HIGH SCHOOL

The area of a rectangle is 6x^3 – 30x^2. What is the length of the rectangle if the width is 2x(x – 5)?

Answers

Answer 1
Answer:

x^2 + 8x +15 is the area

x+5 is the length

x+3 is the width

(x+5)(x+3)=

x^2 + 3x +5x +15

x^2 +8x + 15


Hope this helped!!!!
Answer 2
Answer:

So since the area of a rectangle is A=bh, we just need to form our equation off of that. Our equation will look like this: l*2x(x-5)=6x^3-30x^2


Firstly, divide both sides by 2x(x-5): l=(6x^3-30x^2)/(2x(x-5))


Next, factor 6x^3-30x^2: l=(6x^2(x-5))/(2x(x-5))


Next, cancel out (x-5): l=(6x^2)/(2x)


Next, expand 6x^2: l=(3*2*x^2)/(2x)


Next, divide and your answer will be: l=3x

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Write the equivalent fraction of 3 /5 having denominator 35

Answers

Answer:

(21)/(35)

Step-by-step explanation:

to obtain the equivalent fraction to (3)/(5) with a denominator of 35

note that 5 × 7 = 35

then multiplying the numerator and denominator by 7 will give the required fraction.

(3)/(5) = (3(7))/(5(7)) = (21)/(35)

Final answer:

To find the equivalent fraction of 3/5 with a denominator of 35. result is 21/35.

Explanation:

To find the equivalent fraction of 3/5 with a denominator of 35, you need to multiply both the numerator and denominator by the same number so that the denominator becomes 35. In this case, you need to multiply both 3 and 5 by 7.

So, 3/5 is equivalent to (3 * 7) / (5 * 7) = 21/35.

Learn more about Equivalent Fractions here:

brainly.com/question/18040047

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Find x pleaseeeee help

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Its been awhile since I have done geometry but I believe its correct:

1) 4(4) + 8 = 24

2) Since it is an equilateral triangle all sides are equal.

There are 3 red gumdrops and 2 green gumdrops in a small jar.Also, 4 pieces of butterscotch candy and 1 piece of cinnamon candy are in another jar. If craig draws one piece of candy from from each jar without looking? what is the probability that he will get a red gumdrop and a piece of cinammon candy?

Answers

I don't really understand your question. You claim he draws one piece of candy, then ask for the probability of a red gumdrop followed by a cinnamon candy. Regardless, I'll just answer the latter question (Assuming they're not replaced):

3+2+4+1 = 10

3/10 x 1/9 = 0.033333 or 1/30
The answer fir the red gumdrops is 60%. The answer for the cinnamon candy is 20%.

Two lines are perpendicular, and neither line is horizontal. Which of the following is not necessarily true of the lines?A.
The slopes of the two lines are opposite reciprocals.
B.
One line must have a positive slope.
C.
The y-intercepts are the same.
D.
One line must have a negative slope.

Answers

I think the correct answer from the choices listed above is option C. Two lines are perpendicular, and neither line is horizontal so it must be that the slopes of the lines are opposite reciprocals, one slope is positive and the other has a negative slope. Having different slopes so they should intersect the y-axis at different values.

Verify the identity. Show your work.

(1 + tan2u)(1 - sin2u) = 1

Answers

I assume you mean (1 + tan^2u)(1 - sin^2u) = 1 so I solved it like that 

because tanu = sinu / cosu ⇒ tan^2u = sin^2u / con^2u

(1 + sin^2u/cos^2u)(1 - sin^2u) =
(cos^2u/cos^2u + sin^2u/cos^2u)(1 - sin^2u) =
((cos^2u + sin^2u)/(cos^2u)) (1 - sin^2u) =

and because cos^2u + sin^2u = 1 we'll have

(1/(cos^2u)) (1 - sin^2u) =
1/(cos^2u) - sin^2u/(cos^2u) =
(1 - sin^2u) / (cos^2u) =

notice that 1 - sin^2u is equal to cos^2u

cos^2u / cos^2u = 1

A school survey of 90 sixth graders showed that 25% of them play basketball and about 17% play soccer. What are the chances that a sixth grader plays basketball AND soccer?

Answers

Answer:

0.0425

Step-by-step explanation:

probability of  basket player = 0.25

probability of being a soccer player = 0.17

chances that a sixth grader plays basketball AND soccer = 0.25×0.17 = 0.0425
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