That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
Answer:
10.8 cm
Step-by-step explanation:
Using cosine law
g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)
g² = 116.7018433
g = 10.80286274
Selection D is the equivalent form of the given expression.
_____
The nominal annual interest rate in this problem is 40%. If it were compounded half-yearly, the formula would be x(1.2)^(2t) or x(1.44)^t. Apparently, this problem is more concerned with the equivalent form of the expression than it is with half-yearly compounding.
Answer:
7
Let's solve your equation step-by-step.
5x−7+2−2x=−26
Step 1: Simplify both sides of the equation.
5x−7+2−2x=−26
5x+−7+2+−2x=−26
(5x+−2x)+(−7+2)=−26(Combine Like Terms)
3x+−5=−26
3x−5=−26
Step 2: Add 5 to both sides.
3x−5+5=−26+5
3x=−21
Step 3: Divide both sides by 3.
3x
3
=
−21
3
x=−7
Answer:
x=−7
(2.7, 2.3)
(2, 1.7)
(1.7, 1.3)
again may be wrong