Answer:
y = 5/6x - 5.167
Or
y = 5/6x - 31/6
Step-by-step explanation:
The equation of a line
y = mx + c
Step 1: find the slope
m = y2 - y1 / x2 - x1
Given points
( 0 , -7) ( 5 , -1)
x1 = 0
y1 = -7
x2 = 5
y2 = -1
Insert the values into the equation
m = -1 - (-7) / 5 - 0
m = -1 + 7 / 5
m = 6/5
y = 6/5x + c
Step 2: sub any of the two points given into the equation
y = 5/6x + c
( 5 , -1)
x = 5
y = -1
-1 = 5/6(5) + c
-1 = 5*5/6 + c
-1 = 25/6 + c.
c = -1 - 25/6
LCM = 6
c = -6 - 25 / 6
c = -31/6
c = -5.167
Step 3: sub c into the equation
y = 5/6x + c
y = 5/6x - 31/6
Or
y = 5/6x - 5.167
The equation of the line is
y = 5/6x - 5.167
Answer:
Step-by-step explanation:
<u>Pool:</u>
Width = x ft
Length = (x+6) ft
<u>Pool along with walkway:</u>
Width = x + 5 + 5 = (x + 10) ft
Length = x + 6 + 5 + 5 = (x + 16) ft
Total area of the pool with walkway = 950 sq.ft
length * width = 950
(x+16) * (x + 10) = 950
Use FOIL method,
x*x + x *10 + 16*x + 16 *10 = 950
x² + 10x + 16x + 160 -950 = 0 {Add like terms}
x² + 26x - 790 = 0
Answer:
$19.85 tip
Step-by-step explanation:
To find the % of something simply turn 20% to a decimal (.2) then times it by the number you want .2 * 99.25 = 19.85
Answer:
if you are being asked what the values of the x and y variables are, x=5/2 and y=4
Step-by-step explanation:
In order to solve this problem you will want to isolate one of the two variables in both equations.
I isolated the y variable in both equations so you have:
4x+y=14, when you isolate the y variable, you will get: y=-4x+14
6x-3y=3, same procedure isolate y: 6x-3=3y, now simplify so you only have y: 2x-1=y.
Now that you have the two equations which a common variable, solve them by making the two equations equal to each other like so:
-4x+14=2x-1, now you want to have all the x variable terms on one side and all the constants on the other, you will add "4x" to each side of the equal sign and then add "1" to each side to leave you with: 15=6x
now divide both sides by 6 to obtain your x value: x=15/6 simplifies to 5/2
then plug your x-value into one of the two equations we made earlier:
y=2x-1
y=2(5/2)-1
y=5-1
y=4
now you have calculated the values of your x and y values
Answer:
15/10, 30/20, 60/40, 120/80, 240/160, 480/320
Step-by-step explanation:
The number of push-ups is 2/3 the amount of sit-ups, so the ratio of sit-ups to push-ups is 3:2.
The easy way to do this is to double both 15 and 10 so your answer will stay an equivalent ratio. You will always have a 3:2 ratio this way.
