(3x + 14) (3x + 14) = 9x^2 + 24x + 16
Answer:
1. true - dilating figures does not change their angle measure
2. true - dilating figures does not change the orientation, so AD would still be on a horizontal line parallel to its current position
Answer:
APY = 0.04 or 4%
Step-by-step explanation:
Given the annual percentage rate of 3.5% that is compounded quarterly, and a principal of $6,500:
We can use the following formula to solve for the annual percentage yield (APY):
where <em>r</em> = interest rate = 3.5% or 0.035
<em> n</em> = number of compounding periods per year = 4
We can plug in the values into the equation:
APY = 1.03546 - 1
APY = 0.04 or 4%
Your question does not say what were your options, therefore I will answer generically: in order to understand if a point (ordered pair) is contained in a line, you need to substitute the x-component of the pair in the equation of the line and see if the calculations give you the y-component of the pair.
Example:
Your line is <span> y = 4/3x + 1/3
Let's see if <span>(0, 0) and (2, 3) </span>belong to this line
y</span> = <span>4/3·0 + 1/3 = 1/3 </span>≠ 0
Therefore, the line does not contain (0, 0)
y = 4/3·2 + 1/3 = 9/3 = 3
Therefore, the line contains (2, 3)
To find the solution, we use the substitution method.
x+y=-1
<span>x-3y=11
</span>
x+y = -1-y
-y
x = -1-y
Now apply the value of x into the other equation.
x-3y=11
-1-y-3y = 11
Combine like terms
-4y -1 = 11
+1 +1
-4y = 12
-4y = 12
-4y/-4 = 12/-4
y = -3
Now, apply the value of Y to one equation to find x.
y = -3
x -3 = -1
+3 +3
x= 2
Now we have the value for both, x and y.
x = 2
y =-3
Final answer: A. <span>(2, −3)</span>
