The answer is x=5. I've included the work in the picture attached.
Answer:
slope = 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 6y - 14x = 5 into this form
add 14x to both sides
6y = 14x + 5 ( divide all terms by 6 )
y = 
x + 
← in slope- intercept form
with slope m = ← in simplest form
You are looking at right angles in the problem. Right angles are 90 degrees.
So set up the problem to solve for X using:
90=4x+12
90-12=4x
78=4x
39/2 or 19.5 = x
Answer:
1a) t = 0.17b
1b) $36.03
2) 51,167.50
Step-by-step explanation:
1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip
1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.
To find what the cost was without the tip, divide the bill total by 1.17
248/1.17 = 211.97. That was the bill before the tip was added.
248-211.97 = 36.03 was the tip added.
2) 5.5% converted to a decimal is 0.055
0.55 x 48,500 = 2667.50
$2,667.50 + $48,500 = 51,167.50
Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500
1.055 x 48,500 = 51,167.50
Answer: y = -x + 9
Step-by-step explanation:
First, to find the slope of the line we will use: (y₂-y₁)/(x₂-x₁)
Using the two points, we get: (8-1)/(1-8)
Simplify it: 7/-7
Finally, the slope is -1
We can now write: y = -x + b
Next we will plug in a point into the equation we have:
(8,1) --> 1 = -8 + b Then solve algebraically
b = 9
Then finish the equation:
y = -x + 9
