Answer:
The correct answer is C. y = 3/4x - 12
Step-by-step explanation:
In order to find this, we must first note that the slope will be 3/4. We can tell this because parallel lines have the same slope. Next, we use that along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -18 = 3/4(x - -8)
y + 18 = 3/4 (x + 8)
y + 18 = 3/4x + 6
y = 3/4x - 12
Answer:
The volume of this pyramid is 16 cm³.
Step-by-step explanation:
The volume
of a solid pyramid can be given as:
,
where
is the area of the base of the pyramid, and
is the height of the pyramid.
Here's how to solve this problem with calculus without using the previous formula.
Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.
Refer to the sketch attached. Let the vertical distance from the vertice be
cm.
- At the vertice of this pyramid,
and the length of a side of the square is also
. - At the base of this pyramid,
and the length of a side of the square is
cm.
As a result, the length of a side of the square will be
.
The area of the square will be
.
Integrate the area of the horizontal cross-section with respect to
- from the top of the pyramid, where
, - to the base, where
.
.
In other words, the volume of this pyramid is 16 cubic centimeters.
5.737539186%
rounded to the nearest tenth its 5.7%
Answer:
f(x) = 4
Step-by-step explanation:
Let us assume that the linear function f(x) = ax + b
Here, we have to find the value of a and b to know the function.
Given that f(-10) = 4 and f(-2) = 4
So, -10a + b = 4 ....... (1) and
-2a + b = 4 .......... (2)
From equations (1) and (2) we get a = 0 and b = 4.
So, the linear function is f(x) = 4. (Answer)
Answer:
the answer is 19-2v combine like terms if not that then try this....
19-2y=0
-2y=-19
Then divide by -2
y=-19/-2
=9.5