Answer:
in question one you will pick option 1
in second the 3rd option
in last question option 4
Answer: (-24, -8)
Explanation: Multiply the coordinates of the given point by the scale factor 4. This only works if the center of dilation is the origin.
Answer:
x=40 and y= 60
Step-by-step explanation:
<u>step:1</u>
Let 'x' and 'y' are two numbers
given data the sum of two numbers is 100
x+y = 100......(1)
Given difference of two numbers are
x - y = -20 ......(2)
<u>Step :2</u>
solving the equation (1) and (2)
adding the equations (1) and (2)
x+y+x-y=100-20
cancelling 'y' terms are
2 x = 80
dividing "2" on both sides, we get
x = 40
<u>Step :3</u>
substitute x = 40 in equation (1)
x + y =100
40 + y = 100
subtracting "40" on both sides, we get
40 + y - 40 = 100 -40
y = 60
Final answer:-
The two numbers are x = 40 and y= 60
A Parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a Parallelogram are of same length and opposite angles are same.
Step-by-step explanation:
Properties of a Parallelogram
- Both Pairs of Opposite sides are Parallel
- Both Pairs of Opposite sides are Congruent
- Both Pairs of Opposite angles are Congruent
- Consecutive angles are supplementary
- Daigonals bisect each other.
Answer:
B. An increase in i, the interest rate, will create an increase in P, the monthly payment.
Step-by-step explanation:
We have the formula for the monthly payment as,
,
where P = monthly payment, i = rate of interest, PV = present value and n = time period.
Now, as i increase we get that (1+i) increases and so 
increases.
This gives us that, 
decreases and so 
decreases
Therefore, 
increases.
So, we get that as i increases , the value of P will increase.
Hence, option B is correct.
