The slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>
<h3>Slope of a line</h3>
The slope of a line is the rate of change of the y-axis of the coordinate to x-axis. The formula for calculating the slope of a line is expressed as;
Slope = y2-y1/x2-x1
Given the following coordinate point (−8, 9) to (−4, 6), the slope is calculated as;
Slope = 6-9/-4+8
Slope = -3/4
For the coordinate points (-4, 6) and (2, 1.5), the slope is calculate;
Slope = 1.5-6/2+4
Slope = -4.5/6
Slope = 0.75
Hence the slope of the coordinate point is 0.75.
Hence the slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>
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The probability of selecting one student who is both from math and science is 1/10
There are the total number of student = 300
Out of which,the number of students who are only in Maths = 120
The number of students who are only in Science = 50 and the students who are not from any subject = 100
<h3>What is the formula for the
total students?</h3>
Total no of students=science student+math students +none
Therefore,the number of student who are from both math and science = Total student - Math student (only) - science student (only) - None
= 300 - 120 - 50 - 100
= 30
That is, there are 30 students who are both from science and math,
Thus, the probability of selecting one student who is both from math and science = 30/300 = 1/10
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Area of a rectangle formula: A=LW
substitute the values in:
122.12=L(8.7)
Solve for L. Divide by 8.7 to isolate L.
L≈14.04 feet
Answer: 12n + 25
Step-by-step explanation:
Let x represent the amount that the school pays for ordering one shirt.
This includes the $25 flat-rate shipping cost. This means that if n shirts are ordered, the total cost including shipping would be expressed as
nx + 25
The school pays $1825 for 150 shirts. The expression would be
150x + 25 = 1825
150x = 1825 - 25
150x = 1800
x = 1800/150
x = $12
Therefore, the equation that models the total cost as a function of the number of n T-shirts ordered is
12n + 25
