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sweet [91]
3 years ago
8

What is the slope of the line that passes through (8,5), (-7,20)?

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0
-1, because the equation for the slope is y2-y1/x2-x1. So let's bring the y value in the second set of point, which is 20, and bring the first y value in the first set of points, which is 5. 20-5 is 15. Now let's subtract the x values. So the second x from the second parentheses x value is -7, and the first x value from the first parentheses is 8. -7-8 is -15. Now we have this division equation, 15/-15, which is -1. So therefore, the slope of the line will be -1.
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36 is 4% of what number
QveST [7]

Answer:

900

Step-by-step explanation:

We have, 4% × x = 36

         4

or     ----- × x = 36

       100

Multiplying both sides by 100 and dividing both sides by 4,

                             100

we have x = 36 × -------

                               4

x = 900

If you are using a calculator, simply enter 36×100÷4, which will give you the answer

6 0
3 years ago
True or false? In a two-column proof, the right column states your reasons
lisov135 [29]
It is true because right is the reasons and left are the statements.

Hope this helps :)
8 0
3 years ago
A 5 mile jogging path diagonal divides a rectangular park in half. The park is 4 miles long. Find the width of the park.
levacccp [35]

Answer:  The required width of the park is 3 miles.

Step-by-step explanation:  Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.

We are to find the width of the park.

As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,

where length DA = 5 miles, BD = 4 miles and AB = width = ?

Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.

Using Pythagoras theorem in triangle ABD, we have

BD^2=AB^2+DA^2\\\\\Rightarrow AB=\sqrt{BD^2-DA^2}\\\\\Rightarrow AB=\sqrt{5^2-4^2}\\\\\Rightarrow AB=\sqrt{25-16}\\\\\Rightarrow AB=\sqrt{9}\\\\\Rightarrow AB=3.

Thus, the required width of the park is 3 miles.

7 0
3 years ago
Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.
MakcuM [25]
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:

6 - 14 / -2 - 2
-8 / -4
2

The slope is two, so we immediately know the answer is either A or B.

Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...

My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
y = 2x + 10
5 0
3 years ago
A square scarf has a side length of 3/4 yard on each side what is the area of the scarf??
kondor19780726 [428]

Answer:

3 unit

Step-by-step explanation:

3/4 x 4 = 12/4 = 3

6 0
3 years ago
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