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.

$90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}$

7 0

3 years ago

carly and rob combined their dvd collections. now they have 42 dvds in all carly had 4 more dvds than rob. how many dvds did car

mrs_skeptik [129]

So r+c=42 c=4+r subsitute c=4+r for r in r+c=42 r+4+r=42 add like terms 2r+4=42 subtract 4 from both sides 2r=38 divide both sides by 2 r=19 rob=19 subsitute r=19 for r in c=4+r c=19+4 carly=23

5 0

3 years ago

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