Answer:
1. c = 13
2. a = 20
Step-by-step explanation:
1. 12² + 5² = x²
144 + 25 = x
144 + 25 = 169
√169 = 13
2. 29² - 21² = x²
841 - 441 = x
841 - 441 = 400
√400 = 20
Answer:
6m + 2
Step-by-step explanation:
To simplify the expression you must have to use the distributive property:
(3m + 1)(2)
2 x 3m = 6m
2 x 1 = 2
6m + 2
Answer:
In the problem, the sum of the two functions is 2x + 2
Step-by-step explanation:
For this problem, we have to add together f(x) and g(x).
<em>f(x) = 9 - 3x</em>
<em>g(x) = 5x - 7</em>
(f + g)(x) = (9 - 3x) + (5x - 7)
Combine like terms.
(f + g)(x) = 2x + 2
So, when you combine the two functions together, you will get 2x + 2.
Answer:
$3.50
Step-by-step explanation:
Let's split 2.5 into 2 separate parts, 2 and .5. To find how much 2 pounds of apples cost, we have to multiply $1.40 by 2. 1.40x2= 2.80. Now we have to figure out how much .5 pounds. To do this, we have to divide 1.40 by 2. We get .7. 2.80+ .7= $3.50 [or 3.5]
Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by: 
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:
We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:
Now, the volume of a sphere is denoted by: 
, where r is the radius. From above, we know that 
, so we can plug this into the equation:
Thus, the answer is C.
