D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)
Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1
Answer:
0.0704 (or 7.04%)
Step-by-step explanation:
Principal amount = $2,500
Final Amount = $2,588
time = 6 month = 0.5 years
let annual interest rate by r
Recall for simple interest
Final Amount = Principal Amount [1 + (rate · time) ]
2588 = 2500 [1 + ( r · 0.5) ]
2588 = 2500 (1 + 0.5r )
(1 + 0.5r ) = 2588/2500
1 + 0.5r = 1.0352
0.5r = 1.0352 - 1
0.5r = 0.352
r = 0.352 / 0.5 = 0.0704 (or 7.04%)
Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 10 to both sides
-6 (+10) = n/2 - 10 (+10)
10 - 6 = n/2
4 = n/2
Next, isolate the n. Multiply 2 to both sides
4(2) = n/2(2)
n = 4(2)
n = 8
8 is your answer
hope this helps
Answer:
(-1, 1)
Step-by-step explanation:
Just look at where the two lines intersect and thats the soloution
Answer:
the vertex is (6,-27)
Step-by-step explanation: