This question revolves around the concept of domain (primarily) and range (secondarily). The domain of the square root function is [0, +infinity).
The domain of "three times the sqrt of a" shares that domain: [0, +infinity).
We were not asked to come up with the range, but if the range is wanted, it is
[0, +infinity).
Answer:
It is one-half the area of a rectangle with sides 4 units × 3 units
Step-by-step explanation:
One side of the triangle is on the line y = 2 between points x=2 and x=6. So, that side has length 6-2 = 4.
The opposite vertex has y-value 5, so is 3 units away from the line y = 2.
The area of the triangle can be considered to have a base of 4 and a height of 3. In the formula ...
A = (1/2)bh
we find the area to be ...
A = (1/2)×(4 units)×(3 units) . . . . triangle area
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A rectangle's area is the product of its length and width. So, a rectangle that is 4 units by 3 units will have an area of ...
A = (4 units)×(3 units) . . . . rectangle area
Comparing the two area formulas, we see that the triangle area is 1/2 the area of the rectangle with sides 4 units × 3 units.
<span>x=<span><span>4</span><span><span>3+<span>√<span><span><span>17</span></span><span></span></span></span></span></span><span></span></span>,<span><span>4</span><span><span>3−<span>√<span><span><span>17</span></span><span></span></span></span></span></span><span> Is the answer.
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I hope this helps. :)
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The percentage change in G is 21 %
<h3>What is Percentage change ?</h3>
Percentage change is defined as the increase or decrease in the value as compared to the original value multiplied by 100.
It is given that
G = ab
when a is increased by 10% the new a will be = 1.1 a
When b is increased by 10% the new b will be 1.1 b
So,
G' = 1.1a *1.1 b
G' = 1.21 ab
G' = 1.21
(G' - G)*100/G = (1.21-1)*100/1
The percentage change is 21 %
To know more about percentage change
brainly.com/question/14979505
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Answer:
150.72 units³
Step-by-step explanation:
The formula for solving the volume of a cylinder is:
V = pi (3.14) r² h
V = (3.14) (4) (3)
V = 150.72 units³
