Answer:
<u>3rd graph (on bottom left)</u>
Step-by-step explanation:
First, find the <u>zeros of the function</u>.
- f(x) = x² - x - 2
- f(x) = x² + x - 2x - 2
- f(x) = x(x + 1) - 2(x + 1)
- f(x) = (x - 2)(x + 1)
The zeros are :
- x - 2 = 0 ⇒ x = 2
- x + 1 = 0 ⇒ x = -1
Therefore, the graph of the function intersects the x-axis at :
The correct graph is <u>3rd graph (on bottom left)</u>
Answer:
Correct option: fourth one -> 254 cubic inches.
Step-by-step explanation:
The volume of a cylinder is given by the equation:
To calculate the internal volume of the pipe, we should use its internal radius.
The external radius of the pipe is half of the diameter, and the internal radius is the external radius minus the thickness of the pipe, so we have:
Then, using the internal radius in the volume equation, we have that:
So the correct option is the fourth one: Volume is approximately 254 cubic inches.
The first thing you need to do is calculate the slope. pick 2 of the ordered pairs.
i'll use (1, 4) and (0, 6)
m = (6 - 4)/(0 - 1)
m = (2)/(-1)
m = -2
so the slope is -2. slope intercept form is written as y = mx + b and you have one part of that equation
y = -2x + b
to find b, use one of the selected points. i'll use (0, 6).
(6) = -2(0) + b
6 = b
b = 6
therefore:
y = -2x + 6
∠2 = ∠3 | Given
∠1 + ∠2 = 180 | Supplementary Angles Postule (If two angles are adjacent and ∠3 + ∠4 = 180| linear, they're supplementary)
∠1 + ∠2 = ∠3 + ∠4 | Transitive property
∠1 + ∠3 = ∠3 + ∠4 | Substitution property
∠1 = ∠4 | Subtraction Property
∠2 = ∠3 | Supplementary Congruent Theorem
Answer:
Distribute
When you have an equation like this, distribute first and then add or subtract like terms to solve for x.
Hope this helps!!
