Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
Answer:
Second number line(from top to bottom).
Step-by-step explanation:
We are given the following inequality:
It is solved similarly to an equality, so:
Multiplying by -1, the signal changes from < to >. So
Thus the correct answer is given by the second number line.
Using it's concept, it is found that the experimental probability that the first vehicle rented today will be a pickup truck is of 0.5 = 50%.
<h3>What is a probability?</h3>
A probability is given by the<u> number of desired outcomes divided by the number of total outcomes</u>. For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, we have that out of 4 vehicles, 2 are pickup trucks, hence the experimental probability is given by:
p = 2/4 = 1/2 = 0.5.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
5
Step-by-step explanation: 5x5 =25$
Hello,
52% of 230 = 52/100 × 230 = 0,52 × 230 = 119,6
