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mel-nik [20]
3 years ago
13

A rectangle has a width W that is five units longer than its length L. Which equation expresses the rectangle area

Mathematics
1 answer:
Anna007 [38]3 years ago
8 0

Answer:

Area = L^2 + 5L units^2

Step-by-step explanation:

Length = L

Width = L + 5 Because it is 4 longer than the length.

Area = W * L

Area = L * (L + 5)

Area = L^2 + 5L units^2

You can test it by substituting number in:

If the length is 4 and the width is 9 (4 + 5)

4 * 9 = 36 units^2

4^2 + 5 * 4 = 16 + 20 = 36 units^2

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Which number is rational?
marishachu [46]

Answer:

Option D, \sqrt{16}, since the answer is 4 which is a rational number considering that it's a whole number

Hope this helps!

8 0
3 years ago
The greatest common factor of 2 different prime numbers is 1
Georgia [21]

Answer:

ok is this supposed to be a quesion to ask or a fact?

Step-by-step explanation:

4 0
3 years ago
Please help me!!! :(
PSYCHO15rus [73]

Answer:

15.75x^{10}y^{19}

Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}

Our 5th term here is: \frac{63x^{10}y^{19}}{4} which is equal to 15.75x^{10}y^{19}

~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~

4 0
3 years ago
Mrs. Clever rolls a number cube once.
Zinaida [17]

Answer:

I think it would be 1 out of 6 or B.

Step-by-step explanation:

I think so because there are 6 sides to a cube and if Mrs.Clever only rolls it once then it would be 1 out of 6.

4 0
3 years ago
Grayson went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
Illusion [34]

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

<u>Step-by-step explanation:</u>

Let us consider the soda bottles as x and juice bottles as y.

From the given data we can derive 2 equations,

35x+15y= 410.    .....(1)

x=y+6.                 ....(2)

Substitute equation (2) in (1),

35(y+6)+15y=410.

35y+ 210+15y=410.

50y+210=410.

50y=410-210.

50y=200.

y=4.

Substitute y value in equation (2),

x=4+6.

x=10.

The number of bottles of soda purchased is 10 and the number of bottles of juice purchased is 4.

4 0
3 years ago
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