Answer:
The product of (-4)(7) is -28
Step-by-step explanation:
First you will multiply the number together.
This gets you -28.
The reason it is a negative number is because when you multiply a positive and a negative number together, you get a negative number.
Whereas, if it were two negative numbers, (-4)(-7), or two positive numbers,
(4)(7), the answer would have been positive, 28.
Answer:
10√2
Step-by-step explanation:
If x=1+√2, evaluate x³+1/x³
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- x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
- x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
- x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2
It is the bottom right corner choice
Answer:
32.5 units²
Step-by-step explanation:
We can find the area by dividing the figure into two shapes. If we solve for the area of a square and a triangle, we can add them together.
First, we can solve for the area of the 5x5 square. To find the area, we can multiply the two dimensions.
5 · 5 = 25 units²
Next, we can find the area of the triangle. It has an equal height to the square, so the height of the triangle is 5 units. The width isn't specified. Instead, we are shown that the width of both the square and the triangle equals 8 units. If we subtract the width of the square from the total, we can find the width of the triangle, too.
8 - 5 = 3
So, the height and the width of the triangle are 5x3. To find the area we can multiply these together, and then divide the product by two.
5 · 3 = 15
= 7.5
The area of the triangle is 7.5 units².
Finally, we can add the area of the triangle and the square together.
25 + 7.5 = 32.5
The area of the figure, then, is 32.5 units².
The answer is the last option.
I hope this helps ^^
Answer:
Step-by-step explanation:
-22