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nata0808 [166]
4 years ago
6

Given the system of inequalities below: -3x - y < 12 2x + 3y ≥ 9 Give the coordinates of three points that are members of the

solution set. () () () (-3, 7) (-3, -7) (3,-7) (-4,-0) (0,-4) (0,4) (2,3) (-2,3) (2,-3)

Mathematics
1 answer:
earnstyle [38]4 years ago
3 0

Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

-3x-y< 12 ----> inequality A

The solution of the inequality A is the shaded area above the dashed line

2x+3y\geq 9 ----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

(-3, 7), (-3, -7), (3,-7), (-4,-0), (0,-4), (0,4), (2,3), (-2,3), (2,-3)

therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

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Answer:

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1000÷4

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3 years ago
If a whole pan of brownies is being sold for $16, how much it cost to purchase 3/4<br> of the pan?
KATRIN_1 [288]

Answer:

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Step-by-step explanation:

We have to do this operation:

(16/4) x 3 = 4 x 3 = $12

5 0
3 years ago
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Prove the Congruent Tangent Segments Theorem.Given: BA and BC are tangent to o O at A and C.respectivelyProve: BABCStatementsRea
motikmotik

A line crossing the circle at point A and passing through its center O is perpendicular to a line tangent to the circle at point A.

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8 0
1 year ago
3a-5b:3a+5b=1:4 find the value of a and b
GarryVolchara [31]

Answer:

a = 5/6 , b = -3/10

Step-by-step explanation:

3a-5b:3a+5b=1:4

3a-5b / 3a +5b = 1/4

Cross multiply

3a -5b =4 ..........(1)            solve simultaneously

3a + 5b = 1 ..........(2)    using elimination method

-----------------------

Add equation 1 and 2

6a = 5

Divide both sides by 6

6a/6 = 5/6

a =5/6

Put value of a into equation 2

3a +5b = 1

3(5/6) + 5b = 1

5/2 + 5b = 1

5b = 1 -  5/2

5b = - 1½

5b = - 3/2

Divide both sides by 5

5b/ 5 = -3/2 ÷ 5

b = -3/2 × ¹/5

b = - 3/10

Therefore a = 5/6 , b = -3/10

I hope this was helpful, Please mark as brainliest  

7 0
3 years ago
0.3x=15<br> Identify the slope and y-intercept.
masha68 [24]

Steps to solve:

0.3x = 15

~Divide 0.3 to both sides

0.3x/0.3 = 15/0.3

~Simplify

x = 50

This is a vertical line so the slope is undefined.

The line passes through the point (50, 0) and there is no y-intercept since its a straight vertical line.

Best of Luck!

8 0
3 years ago
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