Answer: ![\bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}](https://tex.z-dn.net/?f=%5Cbold%7Ba%29%5Cquad%2090%5Csqrt2%5Cqquad%20%5Cqquad%20b%29%5Cquad%2045%5Csqrt2%7D)
<u>Step-by-step explanation:</u>
Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square. Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.
![90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}](https://tex.z-dn.net/?f=90%5E2%2B90%5E2%3Dc%5E2%5C%5C8100%2B8100%3Dc%5E2%5C%5C16200%3Dc%5E2%5C%5C%5Csqrt%7B16200%7D%3Dc%5C%5C%5Cboxed%7B90%5Csqrt2%7D%3Dc%5Cqquad%20%5Cqquad%20%5Ctext%7Bwhich%20is%20approximately%20127.28%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ctext%7BHalfway%20between%20home%20plate%20and%202nd%20base%20means%20divide%20that%20length%20by%202%3A%7D%5C%5C%5C%5C%5Cdfrac%7B90%5Csqrt2%7D%7B2%7D%3D%5Cboxed%7B45%5Csqrt2%7D)
Answer: 250
10 times itself or 10^2 = 100
(100)(5)=500
500/2= 250
C. (-13,-13)
You take the x of the midpoint and equal it to the formula of the midpoint so it will be -6 = 1+x/2 so 1st you times 2 by 6 because you wanna get rid of 2 so it will -12 Then when you move 1 so x is alone it will be -1 so -12-1= -13
Same thing for y
I manage to check the graph from other source. I think the answer will be "<span>The slope is 0.40 and it represents the cost per mile traveled."
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