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SIZIF [17.4K]
3 years ago
8

A rectangle has a height of a² + 3 and a width of a² + 2a + 5.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer:

Area =  a^4+2a^3+8a^2+6a+15

Step-by-step explanation:

The area of a rectangle is given by:

Area = Height * Width

The expressions for height and width are given. We just need to multiply and add like terms (if applicable) to find the expression for the area of the rectangle.

Remember to use distributive property:

(a+b)(x+y) = ax + ay + bx + by

Thus, we have:

(a^2+3)(a^2+2a+5)\\=(a^2)(a^2)+(a^2)(2a)+(a^2)(5)+3a^2+6a+15\\=a^4+2a^3+5a^2+3a^2+6a+15\\=a^4+2a^3+8a^2+6a+15

THis is the expression for area.

You might be interested in
Are these ratios equivalent? 12 friends : 15 strangers AND 6 friends : 14 strangers
meriva

Answer:

No

Step-by-step explanation:

12:15 can be simplified to 4:5

6:14 can be simplified to 3:7

These two are not equivalent to eachother

6 0
3 years ago
1+4=5 2+5=12 3+6=21 8+11=?
g100num [7]
I think the pattern is that you multiply the first number by the second , then add the first number. SO:
e.g. for the first one 1 x 4 = 4 , 4 + 1 = 5
for the second one 2 x 5 = 10, 10 + 2 = 12...
So for 8+11:
you do 8 x 11 = 88 , 88 + 8 = 96
7 0
3 years ago
HELP!!!! I’LL GIVE THE BRIANLIEST TO WHOEVER GETS IT RIGHT!!!!
Leto [7]

Answer:

13 units

Step-by-step explanation:

D is at (1,6) and C is at (-4,-6)

The distance is found by

d = sqrt(( y2-y1)^2+ (x2-x1)^2))

  = sqrt( ( -6-6)^2 + (-4-1)^2)

  = sqrt(  -12^2 + -5^2)

  = sqrt( 144+ 25)

   = sqrt( 169)

   = 13

6 0
3 years ago
Find the indicated side of the<br> right triangle.
Advocard [28]

Answer:

?=9

Step-by-step explanation:

We have a special right triangle, the 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are x, and the hypotenuse is x√2.

Since we know that the side length is 9, this means that:

x=9\\\text{Hypotenuse}=x\sqrt2\\\text{Hypotenuse}=9\sqrt2

The ? is 9.

8 0
3 years ago
25 POINTS!!!!!!
8_murik_8 [283]
Your anwer is C)<span>f(x) = 467(5 to the one fourth power)4x</span>
7 0
2 years ago
Read 2 more answers
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