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4 years ago

Find the slope of a line that is perpendicular to the line 4x + 3y - 15 = 0.

1 answer:

4 0

<h2>3x-4y-15=0 </h2><h2>Geometric figure: Straight Line</h2><h2> Slope = 1.500/2.000 = 0.750</h2><h2> x-intercept = 15/3 = 5</h2><h2> y-intercept = 15/-4 = -3.75000</h2><h2>Step by step solution :</h2><h2>Step 1 :</h2><h2>Equation of a Straight Line</h2><h2> 1.1 Solve 3x-4y-15 = 0 </h2><h2 /><h2>Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). </h2><h2 /><h2>"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.</h2><h2 /><h2>In this formula :</h2><h2>y tells us how far up the line goes</h2><h2>x tells us how far along</h2><h2>m is the Slope or Gradient i.e. how steep the line is</h2><h2>b is the Y-intercept i.e. where the line crosses the Y axis</h2><h2>The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-4y-15 = 0 and calculate its properties</h2><h2>Calculate the Y-Intercept :</h2><h2>Notice that when x = 0 the value of y is 15/-4 so this line "cuts" the y axis at y=-3.75000</h2><h2> y-intercept = 15/-4 = -3.75000 </h2><h2>Calculate the X-Intercept :</h2><h2>When y = 0 the value of x is 5/1 Our line therefore "cuts" the x axis at x= 5.00000</h2><h2> x-intercept = 15/3 = 5 </h2><h2>Calculate the Slope :</h2><h2>Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.750 and for x=2.000, the value of y is -2.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -2.250 - (-3.750) = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)</h2><h2> Slope = 1.500/2.000 = 0.750 </h2><h2>Geometric figure: Straight Line</h2><h2> Slope = 1.500/2.000 = 0.750</h2><h2> x-intercept = 15/3 = 5</h2><h2> y-intercept = 15/-4 = -3.75000</h2><h2>Hope This Helps!!!</h2>

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3 years ago

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3 years ago

In circle L, points E and F lie on the circle such that E, F and L are not collinear. If LE, LF and EF are drawn then which of t

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Answer:

<u>option (2) it is and isosceles triangle. </u>

Step-by-step explanation:

In circle L, points E and F lie on the circle such that E, F and L are not collinear

If LE, LF and EF are drawn

So, LE = EF = the radius of the circle L

So, LEF is an isosceles triangle.

The answer is option (2) it is and isosceles triangle.

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3 years ago

Mrs. Bendit’s 1st Block class has 28 students. There are 7 girls in the class. What percent of boys are in the class?

Gemiola [76]

Answer:

Boys: 75%

Girls: 25%

Step-by-step explanation:

Total: 28 Students: 100%

7 Girls in clas

28(total)-7 (girls)= 21 Boys in class

__________________

If we divide the amount boys OR girls ( depending on which gender) after the toal and move the decimal to the right twice after dividing) we will get our answer.

Formula:

(Amount of Boy or girls) = x

X/28

So since we are trying to get the percentages of boys, we will replace X with the amount of boys

21/28 = .75 ( then move the decimal to the right TWICE) = 75

Then you should get your percentages: 75% Also if your lookings for girls percentages, you basically subtract 75 ( boys percentages) with the total percentages ( 100) then you should get your answer for the girls: 25%

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2 years ago

Read 2 more answers

There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these as

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Answer:

Step-by-step explanation:

In the first classroom, there are 4 possibilities of teachers to be assigned.

In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.

In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.

Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.

We can find the total number of possibilities using the product rule.

N = 4 × 3 × 2 × 1 = 24

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