Answer:
D. 
Step-by-step explanation:
Any parabola is modelled by a second-order polynomial, whose standard form is:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
, 
, 
- Coefficients, dimensionless.
In addition, a system of three linear equations is constructed by using all known inputs:
(-2, 0)
(Eq. 1)
(4, 0)
(Eq. 2)
(0,-16)
(Eq. 3)
Then,
(Eq. 4)
(Eq. 5)
(Eq. 3 in Eqs. 1 - 2)
By Eq. 4 (Eq. 4b)
Then,
(Eq. 4b in Eq. 5)
The remaining coeffcient is:
The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is . Thus, the right answer is D.
Answer:
x = 8, y = 4√3, z = 8√3
Step-by-step explanation:
Assuming that y is the altitude of the triangle (perpendicular to the hypotenuse), the triangles are similar. So we can write proportions:
x / 4 = 16 / x
x² = 64
x = 8
4 / y = y / 12
y² = 48
y = 4√3
z / 12 = 16 / z
z² = 192
z = 8√3
Note: after finding one side, you can also use Pythagorean theorem to find the other two sides.
Answer:
5.25 feet
Step-by-step explanation:
100+160/500 consist of only vegetarians, or only non-vegetarians, which equal 260/500=13/25 probability. ☺☺☺☺
The computation of the equation shows that the answers will be:
12. 340 units
13. 2(270) + (2 × x) = 690
14. x = 5
<h3>How to compute the equations?</h3>
12. The first equation that's given will be:
(13.50 × x) - (3.65 × x) = 3349
13.50x - 3.65x = 3349
9.85x = 3349
x = 3349/9.85
x = 340
The number to break even is 340 units
13. The equation that can be used to find the perimeter will be:
2(270) + (2 × x) = 690
540 + 2x = 690
2x = 690 - 540
2x = 150
x = 150/2 = 75
14. x + x + 2 + 8 = 20
2x + 10 = 20
2x = 20 - 10
2x = 10
x = 10/2
x = 5
Learn more about equations on:
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