Answer:
{0, 3, 12}
Step-by-step explanation:
Put the domain values in the function and evaluate. The result is the range values.
y = 3{-2, -1, 0}^2 = 3{4, 1, 0} = {12, 3, 0}
For the given domain, the range is {0, 3, 12}.
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<em>Additional comment</em>
Neither the domain nor range values need to be put in any particular order. However, it is often convenient for them to be arranged from least to greatest.
0.625000 is the correct answer
Answer:
B) Isosceles
Step-by-step explanation:
The given triangle has vertices at A(-1,2), B(4,2) and C(3,-1).
We must first determine the length of the sides of the triangle, before we can classify it.
We apply the distance formula to find length of the sides.
.
The length of side BC
The length of side AC
We simplify to obtain;
Since 
, the given triangle is an isosceles triangle.
The correct answer is
If the line segment is perpendicular to a line with the slope of -4, that means the line segment has a slope of 1/4.
First let's make an equation for the line segment using the slope of 1/4 and the point at (2,6) to find the final piece, the y-intercept
y = mx + b
6 = 1/4(2) + b
6 = 2/4 + b
24/4 = 2/4 + b
22/4 = b
y = 1/4 x + 22/4
6 = 1/4(2) + 22/4
6 = 2/4 + 22/4
6 = 24/4
6 = 6 <-- proves that this equation is correct
Now you may plug in the x to find y. ( 8 , y )
y = 1/4(8) + 22/4
y = 8/4 + 22/4
y = 30/4 = 15/2 = 7.5
Answer:13.5 inches
Step-by-step explanation:
Here, the volume of a right circular cone varies jointly as the altitude and the square of the radius of the base
So our equation for volume becomes
V = c*h*r^2
where 'h' is altitude and 'r' is radius of base and 'c' is constant
Putting the value of V,h,r,
we get,
154 = c*12*3.5*3.5
c = 22/21
Now we have volume = 77 cu and radius of the base =7/3, so putting the values we get,
77 = 22/21*h*7/3*7/3
or, h= 13.5
Hope it helps!!!
