Answer:
Step-by-step explanation:
Build a Polynomial Knowing its Roots
If we know a polynomial has roots x1, x2, ..., xn, then it can be expressed as:
Where a is the leading coefficient.
Note the roots appear with their signs changed in the polynomial.
If the polynomial has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1, then:
The volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.
<h3>What is the Volume of Rectangular Prism?</h3>
Volume = length × width × height
Given:
- Length = 13.4 ft
- Width = 8.7 ft
- Height = 7.5 ft
Thus:
Volume of water = 13.4 × 8.7 × 7.5
Volume of water = 874.35 ft³
Thus, the volume of water that the rectangular prism will hold when it is full is: 874.35 ft³.
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Answer:
C) Neither
Step-by-step explanation:
y = -1/4x + 8
-2x + 8y = 4
To compare the slopes we need to convert the second equation to the same form as the first ( that is slope/intercept form).
-2x + 8y = 4
8y = 2x + 4
Divide through by 8:-
y = 1/4 x + 1/2
The slope of the first line is -1/4 and its 1/4 for the second line.
If the slopes were the same the lines would be parallel and if they were perpendicular their product would be = -1.
The product is 1/4 * -1/4 = -1/16
So they are neither parallel nor perpendicular.
Y = 3x + 4....slope here is 3. A parallel line will have the same slope.
slope = (d - 4) / (5 - (-2) = (d - 4) / (5 + 2) = (d - 4) / 7....so d is going to have to be 25.
lets check....the slope has to equal 3 to be a parallel line
(-2,4)(5,25)
slope = (25 - 4) / (5 - (-2) = 21/(5 + 2) = 21/7 = 3 (correct)
so d = 25
