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zzz [600]
3 years ago
15

Which ordered pair makes both inequalities true?y > –2x 3y < x – 2?

Mathematics
1 answer:
grin007 [14]3 years ago
3 0
Whatever your choices are, just substitute the x and y values to the equations. If they satisfy the inequality, then they are the solutions. For example, point (7, 1) satisfies the inequalities.

y > -2x
1 > -2(7)
1 > -14 (true)

<span>3y < x – 2
3(1) < 7 - 2
3 < 5 (true)

I hope I was able to help you. Have a good day.</span>
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R varies directly as s. Find r when s=10 and k=4
nadezda [96]

Step-by-step explanation:

Since, r varies directly as s

\therefore \: r \:  \:  \alpha \:  \: s \\  \therefore \: r  = k s..(1) \:  \\ (k =  \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \:  in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r  =40}}

5 0
3 years ago
Read 2 more answers
Help plz my teacher won't help
lesantik [10]

Answer:

y = -3x + 9

Step-by-step explanation:

y = mx + b where m is the slope and b is the y intercept

The hypotenuse is on the same line as BC but twice as long.  So extend that line up and it will cross the y axis at (0,9).  9 will be your y intercept.

To find the slope start at C and count  up 9 and to the left 3 to get to B.

So the slope is rise/run or 9/(-3) = -3.

Final equation would be y = -3x + 9

6 0
3 years ago
HELP!!! TIMED ASSIGNMENT!!!!! PLEASE HELP
eduard

Answer:

see below

Step-by-step explanation:

The first part of the function, f(x) = -2x (for x < -1), is only graphed correctly in the first and third graphs.

The second part of the function, f(x) = -1 (for -1 ≤ x < 2) is only graphed correctly in the first graph, which also correctly graphs the third part of the function,

The appropriate choice is the first graph.

5 0
3 years ago
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

8 0
2 years ago
What is the value of m in this equation -4(m+6)=-8
Darina [25.2K]
-4m-24=-8
(add 24 to both sides)
-4m=16
(divide by -4 on both sides)
m=-4
8 0
3 years ago
Read 2 more answers
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