Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5
Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
The volume of the shape
We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.
External radius = internal radius + thickness
Internal radius = 4ft (given)
Recall that the volume(V) of a full cylinder is:
Since the cylinder is cut into two, the volume(V) is:
height (h) = 12ft (given)
The volume of the shape:
Answer:
The second ramp needs to have 25°.
Step-by-step explanation:
Required ramp angle for driving the car from the ground = 35°.
First ramp angle = 15°
Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°
The 20° ramp angle will make the total ramp angle to be equal to 35°.
That is 15° + 20° = 35°
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
In standard form this could be rewritten as | b - 0 | > 6, which in words, says,
"b is greater than 6 units away from 0 on a number line". If b is greater than 6 units away, both positive 6 and negative 6 are 6 units away from 0. Because the values we need are greater than 6 units away from 0, we are starting at both 6 and -6 and moving away from 0.
The "greater than" symbol indicates that this is a disjunction so the word "or" is used as opposed to in a conjunction where the word "and" is used.
Therefore, our solutions are
b < -6 or b > 6, the 3rd choice down
