The answer is -4,7
The denominator can't equal zero. Factor the denominator:
x^2 - 3x - 28=
(X - 7)(x + 4); next set each set of parentheses equal to 0;
x - 7 = 0; so x=7 is one value
x + 4 = 0; so x=-4 is the other
Remember, x = 7 and x= -4 make the denominator zero, which is a "restriction" because you can't divide by zero.
It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet
![1 mile = 5280 feet\\1 foot=\frac{1}{5280} mile\\60.5 feet=60.5 \times \frac{1}{5280} mile=\frac{60.5}{5280}miles](https://tex.z-dn.net/?f=1%20mile%20%3D%205280%20feet%5C%5C1%20foot%3D%5Cfrac%7B1%7D%7B5280%7D%20mile%5C%5C60.5%20feet%3D60.5%20%5Ctimes%20%5Cfrac%7B1%7D%7B5280%7D%20mile%3D%5Cfrac%7B60.5%7D%7B5280%7Dmiles)
The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.
![Speed=\frac{Distance}{Time}\\s=\frac{d}{t}\\100 miles/hr=\frac{\frac{60.5}{5280}miles}{t}\\t=\frac{60.5}{5280}miles\times \frac{1}{100 miles/hr}\\= 0.000114583 hr](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7BDistance%7D%7BTime%7D%5C%5Cs%3D%5Cfrac%7Bd%7D%7Bt%7D%5C%5C100%20miles%2Fhr%3D%5Cfrac%7B%5Cfrac%7B60.5%7D%7B5280%7Dmiles%7D%7Bt%7D%5C%5Ct%3D%5Cfrac%7B60.5%7D%7B5280%7Dmiles%5Ctimes%20%5Cfrac%7B1%7D%7B100%20miles%2Fhr%7D%5C%5C%3D%200.000114583%20hr)
In an hour there are 3600 seconds, then in 0.000114583 hours will be:
![1 hour=3600 seconds\\=0.000114583 \times 3600=0.4124988 s\approx 0.4 s](https://tex.z-dn.net/?f=1%20hour%3D3600%20seconds%5C%5C%3D0.000114583%20%5Ctimes%203600%3D0.4124988%20s%5Capprox%200.4%20s)
It will take 0.4 seconds to get to the home plate.
Learn more about conversions here:
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Answer:
rrnw
Step-by-step explanation:
Answer:
45º
Step-by-step explanation:
Since we know the relatiionship of a 45-45-90 degree triangle, we can go two ways. Either we can use this to find CA and get the tangent of (6/6) or we can go straight to it. The hypotenuse in a 45-45-90 is always 6√2 and we know it is a right triangle so we can confirm this. So, measure of angle B is 45º.
To find median you set up the number least to greasiest and then cross each one out one side at a time until you get to the middle