Answer:
26 miles.
Step-by-step explanation:
To solve this problem, the Pythagorean theorem must be applied, which states that the hypotenuse squared of every right triangle is equal to the sum of its squared legs, that is, A^2 + B^2 = C^2 .
Therefore, applying this formula, to determine the distance in a straight line from the starting point to the driving end point, the following calculation must be performed:
24^2 + 10^2 = X^2
576 + 100 = X^2
√676 = X
26 = X
Thus, the distance between the two points is 26 miles.
The greatest common factor is 7 .
<h3>
Answer: x*a^2 or a^2*x</h3>
======================================
Work Shown:
a^(b+2) = a^b*a^2 ... break up the exponent
a^(b+2) = x*a^2 ... replace a^b with x
We don't know the value of 'a' nor the value of x, so we cannot evaluate further. This is the same as a^2*x because order of multiplication does not matter. For example, 2*3 = 6 and 3*2 = 6, so 2*3 = 3*2.
Midpoint of (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
just average the x and y values
(5,-8) and (10,18)
((5+10)/2,(-8+18)/2)
(15/2,10/2)
(7.5,5)
the midpoint is (7.5,5)
10/2 = 5.
Knowing this, all we have to do is multiply 19.8 by 5:
19.8 * 5 = 99
She will save $99 in 10 weeks