Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m represents the slope of the line
c represents the y intercept
The equation of the given line is
2x + 4y = 20
4y = - 2x + 20
Dividing through by 4, it becomes
y = - x/2 + 5
Comparing with the slope intercept form, slope = - 1/2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 6, 3) is - 1/2
To determine the y intercept, we would substitute m = - 1/2, x = - 6 and y = 3 into y = mx + c. It becomes
3 = - 1/2 × - 6 + c
3 = 3 + c
c = 3 - 3 = 0
The equation becomes
y = - x/2
-6 7/8 /(-3 3/4)
55/8X4/15
11/6
1 5/6
Answer:
x = 30
Step-by-step explanation:
well from the theorem we have

yes i know you could say that the right way is

well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)
so
![\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B3%7D%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C5%3D%5Cfrac%7Bx%7D%7B6%7D%5C%5C%5C%5C6%5B5%5D%3D6%5B%5Cfrac%7Bx%7D%7B6%7D%5D%5C%5C%5C%5C30%3Dx)
Hello!
You can make two expressions based on what you know
let x equal the larger number
let y equal the smaller number
x + y = 95
x + 2y = 120
We can use elimination to get rid of x
You can subtract the two equation to get rid of x
-y = -25
Since y is negative we can multiply both sides by -1 to make y positive
y = 25
Now we can put this into one of the other equations to find x
x + 25 = 95
subtract 95 from both sides
x = 70
The answers are 70 and 25
Hope this helps!
If we let
be the number of pages read in 1 hour, then in 7 hours Doug reads
pages. We know that this number of pages is 231, so we have
