Answer:
2.5 cm
Step-by-step explanation:
The volume of a triangular prism is cross section × length.
The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.
4 × h × 1/2 × 7 = 35
14h = 35
h = 35/14
h = 5/2
The height of the triangular cross section is 2.5 cm.
Answer:
B
Step-by-step explanation:
Given
f(x) = x² - 8x + 3
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
x² + 2(- 4)x + 16 - 16 + 3
(x - 4)² - 13 ← in vertex form → B
(3,6) (5,3)
(x1,y1)(x2,y2)
The slope equation is: y2-y1
---------
x2-x1
Replace with numbers: 3-6/5-3
Minus 3 and 6 is equal to -3
Minus 5-3 is 2
So the fraction is -3/2 (no need to divide because you can't simplify it)
So the slope is -3/2
For the equation you have to replace the letters by 0's
3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides
0-2y=6
-0 -0
-2y=6
Divide -2y from the 6
-2y=6
---- ---
-2 -2
y=3
The y intercept is 3 with the slope of -3/2
Hi there!
The answer is

We have the following inequality.

We can divide both sides by -6, but because we divide by a negative number, we must flip the sign.

3000cm because if you look at the variables there is no more letter m's than anything so if you cancel out and see what is equal to 30 then you get 3000cm!!!!!