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Anna11 [10]
4 years ago
15

HELP!!! WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!!!!!

Mathematics
1 answer:
iren2701 [21]4 years ago
4 0
The answer is c. hope that helped
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A rectangle has a height of 2x^4 with a width of x^2+8x+15. Express the area of the rectangle.
Amiraneli [1.4K]

Hi there!

We know that the formula for the area of a rectangle is height * width. Thus, we can multiply these two expressions together:

2x^4\cdot (x^2+8x+15)\\

Now, we know through the distributive property that we can distribute the 2x^4\\ to everything in the parenthesis. Once this is done, we get:

2x^4 \cdot x^2+2x^4\cdot8x+2x^4\cdot15

Now, we know through the power rule that when two exponents are multiplied together with the same base, the exponent can be added together (x^a \cdot x^b = x^{a+b}). This then would make our equation:

2x^{4+2}+16x^{4+1}+30x^4\\

Giving us for our final answer:

2x^{6}+16x^{5}+30x^4\\

Hope this helps!

8 0
3 years ago
Simplify 3(2x + 5) <br> A. 6x + 30 <br> B.6x + 15<br> C. 6x + 5
Nana76 [90]

3(2x/5)  

Final result :

 6x

 ——

 5  

Step by step solution :

Step  1  :

           x

Simplify   —

           5

Equation at the end of step  1  :

          x

 3 • (2 • —)

          5

Step  2  :

Final result :

 6x

 ——

 5

5 0
4 years ago
Read 2 more answers
A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame
romanna [79]

Diagram attached

Answer:

5.5+106 square inches

Step-by-step explanation:

The wooden frame has different shapes- semi circle, rectangles  and we would have to calculate area of all the shapes to get the wood required.

To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =

π(6²-5²)/2= 11π/2

=5.5π square inches

We add area of the semi circle to area of the 3 rectangles from the diagram:

2×1×48×10×1=106 square inches

The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area

Total area =5.5π +106 square inches

Options must have ommitted the "π"

5 0
3 years ago
What is 781 divided by 26
igomit [66]
The answer would be 30.0385
8 0
3 years ago
Read 2 more answers
There ratio weekend days to weekdays is 2 to 5 what fraction of the week consists of weekend dates
matrenka [14]
2/7 because its a part to whole ratio.
6 0
3 years ago
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