We want to multiply
by
, and simplify.
The first thing we do in this type of problems, is factorize as much as possible, and see what cancels out.
can be factored into (r+2)(r+5) as 2 and 5 are two numbers whose sum is 7, and product is 10.
Similarly
can be factoredinto (r-10)(r+5) as -10 and 5 are two numbers whose sum is -5, and product is -50.
Last, (3r-30) can be factored as 3(r-10).
Thus the product is equal to:
,
so canceling all equal terms in the numerator and denominator we are left with
r+2.
Answer: A) r+2
Answer:
207 m².
Step-by-step explanation:
To find the surface area of the model, the area of the square base as well as the triangular sides will need to be found.
To find the area of the base, we can simply use the formula: A = s².
If s = 9, then:
A = 9²
A = 81. This is the area of the base.
To find the area of a triangular side, use the formula: A = 1/2(bh). b = 9, and h = 7.
Plugging these in get:
A = 1/2(7 · 9)
A = 1/2(63)
A = 31.5.
Since there are 4 sides to the base, this means that there are 4 triangular sides. Multiply the area of one triangle by 4, resulting in:
31.5 ×4 = 126.
Add up the area of the base and lateral parts of the pyramid, which equals:
81 + 126 = 207 m².
Two hundred forty-five thousand two hundred and thirty-nine.
Answer:
y ≥ x - 1
Step-by-step explanation:
First, determine the slope of the line. We can see that the slope is , because the slope has less than 1 y interval per every x interval. This means that the line is less steep. There are only 2 slope choices, , -, and 3. We can tell that the slope is positive, but it must be because it is clearly less steep than a 3 slope line.
Now, look at the portion that is shaded. It is above the line, and this means that y is greater than the equation given. We can tell it is greater than or equal to, because the line that represents the equation is shaded as well. If it was only greater than and not equal to, the line would not be shaded.
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