Answer:
y= -2x +39
Step-by-step explanation:
y= mx+b
m is the slope which is given -2
since we don't know b we can solve the rest using the formula y-y1{ m(x-X1(
y - 15 = -2(x-12)
simplify
y-15= -2x +24
y= -2x + 39
Answer:
1. E=75 degrees
Step-by-step explanation:
You can use the distance formula to find the distance between any two points ion the plane. In this case, look carefully at the coordinates:
R(-1, 7) and T(-7, 7), Notice they both have y-coordinate 7. That means they are both on the same horizontal line. To find their distance, just subtract -7 from -1 and take the absolute value.
|-1 - (-7)| = |-1 + 7| = |6| = 6
The distance is 6 units
Answer:
x = 12
y = 22
Total amount = $2596
Step-by-step explanation:
First let's find the value of each deposit until the 10th in relation to x and y:
1st: x
2nd: y
3rd: x + y
4th: x + 2y
5th: 2x + 3y
6th: 3x + 5y
7th: 5x + 8y
8th: 8x + 13y
9th: 13x + 21y
10th: 21x + 34y
Now, we can write a system with two equations and two variables:
2x + 3y = 90
21x + 34y = 1000
From the first equation: x = (90 - 3y)/2
Using this value of x in the second equation, we have:
21*(90 - 3y)/2 + 34y = 1000
945 - 31.5y + 34y = 1000
2.5y = 55
y = 22
Now we can find x:
x = (90 - 3*22)/2 = 12
Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596
Answer: 1/9
Step-by-step explanation:
