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Julli [10]
2 years ago
13

Inequalities Which is the graph of the system x + 3y > -3 and y < 1/2x +1?

Mathematics
1 answer:
OLga [1]2 years ago
6 0

Answer:

the 4th graph.

Step-by-step explanation:

by solving for Y in the first equation, we get the y-intercept of -1 and the second equation has a y-intercept of 1. 4th graph is the only graph with those 2 intercepts

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Help with this math problem
marishachu [46]

see explanations

Step-by-step explanation:

Formula for mid-point is;

midpoint=((x_1+x_2)/2,(y_1+y_2)/2)

1.Given S(-3,4), U(-3,0) and T(5,0) then finding the mid-points

SU = [(-3+-3)/2,(4+0)/2] =(-3,2)

TU= [(-3+5)/2,(0+0)/2] =(1,0)

ST=[(-3+5)/2,(4+0)/2]=(1,2)

2.Mid-point formula for this case given W(-5,1) and Z(3,3) will be;

Midpoint = [ (x₁+x₂)/2,(y₁+y₂)/2]

Midpoint= [(-5+3)/2 ,(1+3)/2]

Midpoint=(1,2)

3. Finding the length of segments and the midpoint of the segments

Formula for length of segment, d, is given as;

For C(-1,5) and D(5,1)

d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\\\d=\sqrt{(1-5)^2+(5--1)^2} =\sqrt{-4^2+6^2} =\sqrt{16+36} =\sqrt{52} =7.21

Midpoint of the segment CD will be

[(-1+5)/2,(5+1)/2] = (2,3)

For E (-3,-6) and F(5,0)

d=\sqrt{(0--6)^2+(5--3)^2} =\sqrt{6^2+8^2} =\sqrt{36+64} =\sqrt{100} =10

The midpoint for segment EF will be;

[(-3+5)/2 ,(-6+0)/2] =(1,-3)

For L(-4,4) and M(-1,-5)

d=\sqrt{(-5--4)^2+(-1-4)^2} \\d=\sqrt{-1^2+-5^2} \\\\d=\sqrt{1+25}=\sqrt{26} =5.1

Learn More

Midpoint of a segment :brainly.com/question/10424143

Distance of a segment :brainly.com/question/11591660

Keywords :midpoint, midpoint formula, segment length, line segment

#LearnwithBrainly

4 0
3 years ago
Evaluate each expression. Show step by step<br> 5(4-1)
djverab [1.8K]

Answer:

15

Step-by-step explanation:

5x4=20

5x-1=-5

20-5=15

5 0
3 years ago
Read 2 more answers
Math im soooooooooooooo baaaaaaaaaaaadddddddddddddd
storchak [24]

Answer:

The correct answer is A, 73

Step-by-step explanation:

First we have to arrange the whole numbers in ascending order. i-e from smallest to largest. Showing it as follows:

53 54 59 62 64 65 66 68 70 71 75 78 79 79 83 83 86 90 91 94                

Now we would find the median by taking the middle number. But this series consists of even numbers. There are 20 numbers. So we will take the middle two numbers and find their average like follows:

71 + 75 = 146/2  = 73

The answer is 73

8 0
3 years ago
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This problem shows division without a remainder.
abruzzese [7]

Step-by-step explanation:

quotient is 40 and remainder is 8

5 0
3 years ago
What is 1/16 (fraction) divided by 24?
polet [3.4K]
1/384

Hope this helps
4 0
3 years ago
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