Parallel to y = 3/4x - 9 and passes through (-8, -18)
Identify the slope : our slope is 3/4
Remember that parallel equations have the same slope, so both slopes are 3/4
Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.
y = mx + b
(-18) = (3/4)(-8) + b
Simplify.
-18 = -6 + b
Add 6 to both sides.
-18 + 6 = b
Therefore, our y-intercept is -12.
Now plug everything into the slope intercept form.
y = mx + b
y = 3/4x - 12
~Hope I helped!~
Answer:
10x+3y+2
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
The formula for the sum of an infinite geometric series with first term a1 and common ratio r (where |r| < 1) is ...
sum = a1/(1 -r)
Applying this to the given series, we get ...
a. sum = 5/(1 -3/4) = 5/(1/4) = 20
b. sum = d/(1 -1/t) = d/((t-1)/t) = dt/(t-1)
_____
The derivation of the above formula is in most texts on sequences and series. In general, you write an expression for the difference of the sum (S) and the product r·S. You find all terms of the series cancel except the first and last, and the last goes to zero in the limit, because r^∞ → 0 for |r| < 1. Hence you get ...
S -rS = a1
S = a1/(1 -r)
The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
