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ololo11 [35]
3 years ago
6

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

er in the box provided or use the upload option to submit your solution.
(-3, 5) and (-2, -6)
Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

11x+y = -28

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y2)/(x2-x1)

   = (-6-5)/ (-2--3)

   = -11(-2+3)

   = -11/1

The slope is -11

We can use point slope to make an equation

y-y1 = m (x-x1)

y-5 = -11(x--3)

y -5 = -11(x+3)

Distribute

y-5 = -11x-33

Add 5 to each side

y-5+5 = -11x-33+5

y = -11x-28

Add 11x to each side

11x+y = -11x+11x-28

11x+y = -28

This is the standard form of a line

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Wegnerkolmp or someone who can explain maths please<br> I need a proper explanation
umka2103 [35]

Answer: 66 degrees

Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x

x+24 = 90

x+24-24 = 90-24

x = 66

That is why angle CDE is 66 degrees

6 0
3 years ago
How do you evaluate 11 c 5
swat32
You have 11 items and you need to choose 5 of the 11.
There are 462 ways to choose them.
The formula is :
11! / (5!6!)
n!/(r!(n-r)!)
6 0
3 years ago
polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf
Tomtit [17]

<u><em>Answer:</em></u>

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

<u><em>Step-by-step explanation:</em></u>

<u>Before we begin, we should remember the rotation rules:</u>

<u>1- Rotation 90° clockwise:</u>

Coordinates (x,y) become (y,-x)

<u>2- Rotation 90° counter clockwise:</u>

Coordinates (x,y) become (-y,x)

<u>3- Rotation 180° clockwise:</u>

Coordinates (x,y) become (-x,-y)

<u>4- Rotation 270° counter clockwise:</u>

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

<u>Now, let's consider the given problem:</u>

<u>1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'</u>

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

<u>2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''</u>

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

<u>3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''</u>

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

<u>4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''</u>

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

5 0
3 years ago
Over 6 days jim jogged 6.5 miles 5 miles 3 miles 2 miles 2 miles 3.5 miles and 4 miles. What is the mean distance that jum jogge
Marizza181 [45]

Mean means average.

To find the average, add the data then divide it by the amount of individual data you have.

(6.5 + 5 + 3 + 2 + 2 + 3.5 + 5)/2 = mean

27/2 = mean

13.5 = mean

13.5 miles is the mean distance that Jim jogged.

5 0
3 years ago
Can someone help me and explain how you did it?
Feliz [49]

Answer:

slope: -3/5

y-intercept: (0, 4)

slope-intercept form: y = -3/5x + 4

Step-by-step explanation:

<h3><u>Finding the slope</u></h3>

To find the slope of this line, you would take two points from the table and substitute their coordinates into the slope formula.

Slope formula: \frac{y_2-y_1}{x_2-x_1}

I'm going to use the points (0, 4) and (5, 1). You can really use any point from the table. Substitute these points into the formula to find the slope.

(0, 4), (5, 1) → \frac{1-4}{5-0} \rightarrow \frac{-3}{5}

This means the slope of the line is -3/5.

<h3><u>Finding the y-intercept</u></h3>

The y-intercept will always have the value of x be 0 (so the point is solely on the y-axis), so by looking at the table we can see that the y-intercept is at (0, 4).

<h3><u>Finding the slope-intercept form</u></h3>

Since we have the slope and a point of the line, we must use point-slope form to find the equation of the line in slope-intercept form. Substitute in the point (0, 4) --you could use any point from the table-- and the slope -3/5 into the point-slope form equation.

point-slope form: y - y1 = m(x - x1) --you'll be substituting the point coordinates and slope into y1, x1, and m.

y - (4) = -3/5(x - (0))

Simplify.

y - 4 = -3/5x

Add 4 to both sides.

y = -3/5x + 4 is the equation of the line in slope-intercept form (you have both the slope and the y-intercept in this form).

8 0
3 years ago
Read 2 more answers
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