Measure of Hypotaneous = 5√5
And it's already given that b = 2a
By using pythagoras theorem:
a²+ b² = (5√5)²
Let's substitute for b as 2a in above equation we'll get:
a² + (2a)² = (5√5)²
a² + 4a² = 125
5a² = 125
a² = 25
a = √25 = 5
Therefore,
a= 5
and
b = 2a = 2(5) = 10.
Answer: B
Step-by-step explanation:
Let's solve the given equation. Then we can see which other equation has the same answer.
-5n+31=-14n-5
36=-9n
n=-4
We need to fina another equation that gives n=4 as the answer.
A. Incorrect
3-6n+3n=-3+4-4n
3-3n=1-4n
n=-2
B. Correct
C. Incorrect
1=0.75n+3.25
-2.25=0.75n
n=-3
D. Incorrect
-1-22n=-20n-9
8=2n
n=4
Solve for x:
8 - 5 x = 2 x + 8
Subtract 2 x from both sides:
8 + (-5 x - 2 x) = (2 x - 2 x) + 8
-5 x - 2 x = -7 x:
-7 x + 8 = (2 x - 2 x) + 8
2 x - 2 x = 0:
8 - 7 x = 8
Subtract 8 from both sides:
(8 - 8) - 7 x = 8 - 8
8 - 8 = 0:
-7 x = 8 - 8
8 - 8 = 0:
-7 x = 0
Divide both sides of -7 x = 0 by -7:
(-7 x)/(-7) = 0/(-7)
(-7)/(-7) = 1:
x = 0/(-7)
0/(-7) = 0:
Answer: x = 0
