Answer:
Step-by-step explanation:
![T = \frac{1}{2}m^{2}+2m - 4\\\\T = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 = 2m + 4\\\\\frac{1}{2}m^{2}+2m - 4 - 2m - 4 = 0](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B1%7D%7B2%7Dm%5E%7B2%7D%2B2m%20-%204%5C%5C%5C%5CT%20%3D%202m%20%2B%204%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7Dm%5E%7B2%7D%2B2m%20-%204%20%3D%202m%20%2B%204%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7Dm%5E%7B2%7D%2B2m%20-%204%20-%202m%20-%204%20%3D%200)
Combine like terms
![\frac{1}{2}m^{2}+2m - 2m - 4 - 4 = 0\\\\\frac{1}{2}m^{2} - 8 = 0\\\\\frac{1}{2}m^{2} =8\\\\m^{2} = 8*2\\\\m^{2} = 16\\\\m = \sqrt{16}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm%5E%7B2%7D%2B2m%20-%202m%20-%204%20-%204%20%3D%200%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7Dm%5E%7B2%7D%20-%208%20%3D%200%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7Dm%5E%7B2%7D%20%3D8%5C%5C%5C%5Cm%5E%7B2%7D%20%3D%208%2A2%5C%5C%5C%5Cm%5E%7B2%7D%20%3D%2016%5C%5C%5C%5Cm%20%3D%20%5Csqrt%7B16%7D)
m = ± 4
<span>y = 0</span><span> for the </span>x-intercept, so<span>
2х - 5*0 = 60
2x = 60
x = 60/2 = 30
(30, 0)
</span><span>x = 0</span><span> for the </span>y<span>-intercept, so:</span>
2*0 - 5x = 60
-5x = 60
5x = -60
x = -30/5 = -12
(0, -12)
Answer is a) (0, -12)(30, 0)
Answer:
8
Step-by-step explanation:
DCB and ABC are right angles
DCB = 90 = 7x + 34
If 7x + 34 = 90, then 7x = 56 and x = 8
Hope this helps :)
Answer:
Step-by-step explanation:
The dominant term of this function is x^4. The graph of x^4 starts in Quadrant II and continues in Quadrant I.
If we have y = -x^4, the graph starts in Quadrant III and continues in Quadrant IV. This is the end behavior for f(x)=-x^4+5x^3-3.
Answer:
he mean, mode and median are all equal. The curve is symmetric at the center (i.e. around the mean, μ). Exactly half of the values are to the left of center and exactly half the values are to the right. The total area under the curve is 1.
Step-by-step explanation: