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dybincka [34]
3 years ago
6

A. -1/2 B. 1/2 C. 1 D. 2

Mathematics
2 answers:
scoray [572]3 years ago
7 0

Answer:

D.  2.

Step-by-step explanation:

Using the points (1,3) and (-1,-1):

The slope=  (3 - -1) / (1 - -1)

= 4/2

= 2.

kondor19780726 [428]3 years ago
4 0
The answer is 2. I think I’m not sure
You might be interested in
WILL MARK BRAINLIST!!! A scale drawing of a living room is shown below. The scale is 1 : 40. A rectangle is shown. The length of
sveta [45]
Actual length of the room
6 * 40
240 inches

Actual width of the room
4 * 40
160 inches

Area of the room
240 * 160
38400 inches^2
Hope this helps:D
Have a great rest of a brainly day!
4 0
3 years ago
Given the system of linear equations.
Karo-lina-s [1.5K]

Part A:


x + y = 9

4x + y = 6


To solve this system using substitution, begin by isolating either x or y in the first equation. I'll isolate x.


x + y = 9

x = 9 - y


Substitute this expression (9 - y) into the second equation for x and solve.


4x + y = 6

4(9 - y) + y = 6

36 - 4y + y = 6

36 - 3y = 6

-3y = -30

y = 10


To find x, substitute 10 for y into either of the original equations.


x + y = 9

x + 10 = 9

x = -1


Finally, check all work by substituting the x- and y-values into each original equation.


x + y = 9   -->   -1 + 10 = 9   -->   9 = 9   -->   True

4x + y = 6   -->   4(-1) + 10 = 6   -->   -4 + 10 = 6   -->   6 = 6   -->   True


The answer for Part A is x = -1 and y = 10; (-1, 10).


Part B:


For graphing, it's easier to get the equations into slope-intercept form. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To get our equations into slope-intercept form, we must simply isolate y.


x + y = 9

y = 9 - x

y = -x + 9


4x + y = 6

y = 6 - 4x

y = -4x + 6


Now that we have our slope-intercept equations, we can easily graph them, since their slopes and y-intercepts are readily visible.



Let's start with the y-intercepts. They are (0, 9) and (0, 6). You can plot those points on the graph.


Now, the slopes. The slope of the first line is -1, this means it declines. To plot this, start where you plotted the y-intercept, count one unit down, and then one unit to the right, and plot that point. Continue doing that and connect the dots, and you will have plotted the first line. The slope of the second line is -4, so it also declines. For this line, count four units down, and then one to the right and plot that point. Likewise, continue this and connect the coordinates, and you will have your line. (See attachment for graph.)


The lines do indeed intersect at (-1, 10); our answer is verified by graphing.

5 0
3 years ago
If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott
Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

a^{2} + b^{2} = c^{2}

8^{2} + b^{2} = 17^{2}

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

8^{2} + b^{2} = 17^{2} --> Square 8 and 17

64 + b^{2} = 289 --> Subtract 64 from both sides

b^{2} = 225 --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

7 0
3 years ago
Solve for x. Write the smaller solution first, and the larger solution second.
xeze [42]

Answer:

x= 1 or x=7

Step-by-step explanation:

2 x 2− 16 x + 14 =0

2 (x−1) (x−7)=0

x−1=0  or   x−7=0

x=1  or  x=7

4 0
3 years ago
Read 2 more answers
What’s the answer to this please, thanks!
Bumek [7]

Answer:

8 < x < 16

Step-by-step explanation:

Consider an angle slightly less than 180 between the 4 and 12 ft sides.  The measure between the 2 end points is slightly less than the total of the two sides.  So the greatest length is 16.

Consider an angle slightly more than 0 between the 4 and 12 ft sides.  The measure between the 2 end points is slightly more than the difference between the two sides.  So the lowest length is 8.

3 0
3 years ago
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