Based on the Pythagorean Theorem, you can use the formula,
a^2 + b^2 = c^2, to find the longest side of a right triangle. When you look at the coordinate plane, you see point (4,-6) and (7,3) are the points for the longest side (c). Then the rise and run would be (a) and (b).
The formula is d = <span>√(x2-x1)^2 + (y2-y1)^2
d = </span><span>√(7-3)^2 + (3-(-6))^2
d = </span><span>√3^2 + 9^2
d = </span><span>√9 + 81
</span>d = <span>√ 90
</span>d = 3<span>√10 or 9.49</span><span>
</span>
Answer:
13.89 miles
Step-by-step explanation:
Since we are calculating for hypotenuse, reference Pythagorean Theorem:
a^2 + b^2 = c^2
12^2 + 7^2 = c^2
144 + 49 = 193
square root of 193 = 13.89 (If rounded to hundredths place)
Answer:
1.) 15-3-2=x
2.) He can buy 3 sodas
Step-by-step explanation:
1.) 15 is how much he has, -3 is the price of the popcorn, -2is the price of the soda. =x is what needs to be solved in the equation (its 10 if you need the answer)
2.) He can buy 3 sodas because 3 boxes of popcorn is $9 since one box is $3, he has $15 you take away $9 and you are left with $6 and 6 divided by 2 is 3.
Let the width be w, then length = w + 4
Area = length x width = w(w + 4) = w^2 + 4w
f(w) = w^2 + 4w
for w = 8 in
Area = (8)^2 + 4(8) = 64 + 32 = 96 in^2