The full answer is so long. I’m too lazy to do it but i can tell u how.
First write the equation of line AB then equation of line CD then compare the slope of both line AB and CD.
Answer:
x = 
Step-by-step explanation:
To solve for x, we need to isolate it [get it alone on one side]
We should start by simplifying (combining the like-terms of our equation):
5 + 5 = 5x + 5 - 2
10 = 5x + 3
- 3 - 3 (subtract 3 from both sides to isolate x)
7 = 5x
÷5 ÷5 (divide both sides by 5 to find "1"x)
So, x =
(x = 7/5)
hope this helps!!
Answer:
$3100 is invested at 9%
$4900 is invested at 11%
Step-by-step explanation:
Let's take "x" be the amount invested at 9%.
(x + 1800) is invested in another account at 11%.
The interest amount earned by the two accounts is $818.
Here we can use the simple interest formula and find the amount invested in each account.
Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.
Simple interest =
0.09x + 0.11(x+1800) = 818
Now we have to simplify and find the value of x .
Use the distributive property and simplify the second term.
0.09x + 0.11x + 198 = 818
0.2x + 198 = 818
0.2x =818 - 198
0.2x = 620
x = 620/0.2
x = 3100.
So $3100 is invested at 9%
x + 1800 = 3100 + 1800
= $4900
$4900 is invested at 11%
Hope this helped.
Answer:
(2,16)
Step-by-step explanation:
y=8x-----------(i)
y= 10x-4---------(ii)
Substituting the value of y=8x in equation (ii)
8x=10x-4
8x-10x=-4
-2x= -4
x=2
Now, substituting the value of x= 2 in equation (i)
y=8x=8(2)=16
Solution of the system is (2,16)
