The equation of the line will be 3y + 8x = 165.
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
- Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.
The given equation of the line is:-
3 x + 8 y = 4.
The slope of this line will be:-
3 x + 8 y = 4.
8y = -3x + 4
y = -3 /8x + ( 1 / 2)
y = mx + c
m = -3 / 8
Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.
So the slope of the line will be -8 / 3
The equation of the line passing through the point will be given as:-
y - y 1 = m ( x- x1)
y - (-9) = ( -8 / 3) ( x - 8)
Y + 9 = ( -8 / 3 ) ( x -8 )
3 y = -8x + 165
3y + 8x = 165
Therefore the equation of the line will be 3y + 8x = 165.
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Answer:
when the distance driven per day is 100 miles
Step-by-step explanation:
Start by writing an equation for the daily charge of each company
Let's call p(x) what the primo car rental charges per mile "x", and let's call u(x) what ultimo rental charges;
p(x) = 24 + 0.4 x
u(x) = 38 + 0.9 x
when would u(x) be twice the p(x) charge?
u(x) = 2 p(x)
38 + 0.9 x = 48 + 0.8 x
0.9 x - 0.8 x = 48 - 38
0.1 x = 10
x = 100
so, such happens when the distance driven per day is 100 miles
Answer: 33.3333333...%
Step-by-step explanation: 200/600=1/3
1/3 =33.3333333...%
700 rotations
If the radius is 1 foot, the diameter is 2 feet (twice the radius). The circumference of a circle is pi times the radius. Using 22/7 as pi, the circumference of each tire is (22/7)*2 feet. That is the same as 44/7 feet.
If the car is going 4400 feet per minute, the tires will "rotate 4400 feet from the circumference" - if you know what I mean. The tire completes one rotation every 44/7 feet. So, in 4400 feet it will complete (4400)/(44/7) feet. That is equal to 4400*7/44. Put that in a calculator and you get: 700.
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Answer:
Step-by-step explanation:
<u>Step 1: Subtract 15 from both sides</u>
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<u>Step 2: Factor</u>
Answer:
