Let's use Pythagorean theorem.
![a^{2}+b^{2}=c^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%2Bb%5E%7B2%7D%3Dc%5E%7B2%7D)
where
![c](https://tex.z-dn.net/?f=c)
is the hypotenuse.
So if we set it up:
![7^{2}+b^{2}=13^{2}](https://tex.z-dn.net/?f=7%5E%7B2%7D%2Bb%5E%7B2%7D%3D13%5E%7B2%7D)
now we simplify:
![49+b^{2}=169](https://tex.z-dn.net/?f=49%2Bb%5E%7B2%7D%3D169)
and get
![b^{2}](https://tex.z-dn.net/?f=b%5E%7B2%7D)
by itself:
![b^{2}=120](https://tex.z-dn.net/?f=b%5E%7B2%7D%3D120)
Now to get
![b](https://tex.z-dn.net/?f=b)
by itself, we need to take the square root of both sides:
![b=\sqrt{120}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B120%7D)
And that's your answer!
4x-x-7x just combine all like terms 4x-x=3x rewrite 3x-7x= -4x. 4x-x-7x=-4x
Hope this helps have a nice day
Start with the volume equation for a sphere:
V=4/3pi•r^3
The dimensions of the cylinder allow for a sphere with a diameter of 20 centimeters, so the radius of this sphere will be 10 centimeters. Substituting this into the equation:
V=4/3pi•(10)^3
or the uppermost right answer (B).
Core fitness refers to exercises to activate the muscles in a location called the core of your body. Hope this helps!
Answer:
Last option, a translation of 1.5 units left, 0.5 unit up, then a reflection across the x-axis
Step-by-step explanation:
Let's pick any random point. So let's just chose point L. Comparing point L to point L', we can already see that the options given are incorrect. For example, the first option with just translations is incorrect because when we do translate point L 1.5 units left and then 1.5 units down, it does not line up with point L'. For the second and third options, we know that L(-2.5, 1.5) and L'(-4,-2). Therefore, there must be some sort of shift left, right, up, or down, to go from coordinates with decimals to coordinates with whole numbers, leaving the last option, D, as the correct one.