X = 9 . to find this out, you need to plug in the given info into a^2 + b^2 = c^2 .. so we have a^2 + 6^2 = 117. Which is a^2 + 36 = 117. so we need to get a by itself. to do so, subtract 36 from both sides to get a^2 = 81. Lastly, we need to find the square root of both sides. the square root of a^2 is a, and the square root of 81 is 9. which leaves us with a = 9
9514 1404 393
Answer:
D. 36 units
Step-by-step explanation:
Using the distance formula, we find the length of AB to be ...
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15
The line BC is horizontal, so its length is the difference of the x-coordinates:
BC = 7 -(-2) = 9
The line AC is vertical, so its length is the difference of the y-coordinates:
AC = 9 -(-3) = 12
The sum of the lengths of the sides of the triangle is ...
P = 15 + 9 + 12 = 36
The perimeter is 36 units.
Answer:
x=112
Step-by-step explanation:
First, let's get all of the fractions to a common denominator.
Based on the numbers given (8,56, and 7), let's make all of the denominators be 56
for
, multiply the numerator and denominator by 7.
×
= 
we can leave
as it is
and for
, we cam multiply the numerator and denominator by 8
×
=
Here's the equation now:
-
+
=-92
now simlify the fractions
numerators:
-49x-5x+8x=-46x
here's the fraction now:
=-92
We can simplify the fraction by 2 so it's 
=-92
now multiply both sides by
, which is the reciprocal of
(to isolate the variable)
×
=-92×

x=112
Hope this helps!