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sattari [20]
3 years ago
10

Solve the given system using elimination.

Mathematics
1 answer:
sdas [7]3 years ago
5 0
(r,s)=(2,-1)
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The coordinate plane below represents a town. Points A through F are farms in the town. graph of coordinate plane. Point A is at
gayaneshka [121]
I made my own graph using the given points. Pls. see attachment. 

<span>Part A: Using the graph above, create a system of inequalities that only contains points D and F in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above.

I used paint program to graph the points based on the given data. 
I used a ruler as guide as I draw my line containing both points D and F and extended the line outward.
The yellow lines above represents the shaded portion of the graph.

y = mx + b

b is the y-intercept. It is the value of y when x is 0. In this case, b = 3.5
m is the slope. It is the change in y divided by the change in x. 
point D (2,4) ; point F (-2,3)
change in y: 4 - 3 = 1
change in x: 2 - (-2) = 4
m = 1/4

y = 1/4 x + 3.5 

Since we are looking for a system of inequality and the portion shaded is in the upper part of the line, the value of y will be greater than or equal to.

y </span>≥ 1/4x + 3.5<span>

Part B: Explain how to verify that the points D and F are solutions to the system of inequalities created in Part A.

To check the solution given above. We will use the x values of points D and F and check whether its y values are equal to or greater than the solution.</span>

y ≥ 1/4x + 3.5

Point D (2,4) : x = 2 : y ≥ 1/4 * 2 + 3.5 → 0.5 + 3.5 → 4
Point F (-2.3): x = -2 ; y ≥ 1/4 * -2 + 3.5 → -0.5 + 3.5 → 3
<span>
Part C: Chickens can only be raised in the area defined by y > 2x − 2. Explain how you can identify farms in which chickens can be raised.

y > 2x - 2

We will get the coordinates of each point and see if its x value will generate the desired value of y.

A(2,-3) ; x = 2 : </span><span>y > 2(2) - 2 </span>→ 4 - 2 → 2 . DID NOT PASS. -3 is lesser than 2.<span>
B(-3,-4) ; x = -3 : y > 2(-3) - 2 </span>→ -6 - 2 → -8. PASSED. -4 is greater than -8.<span>
C(-4,2) ; x = -4 : y > 2(-4) - 2 </span>→ -8 - 2 → -10. PASSED. 2 is greater than -10.<span> 
D(2,4) ; x = 2 : y > 2(2) - 2 </span>→ 4 - 2 → 2. PASSED. 4 is greater than 2.<span>
E(3,1) ; x = 3 : y > 2(3) - 2 </span>→ 6 - 2 → 4. DID NOT PASS. 1 is lesser than 4.<span>
F(-2,3) ; x = -2 ; y > 2(-2) - 2 </span>→ -4 - 2 → -6. PASSED. 3 is greater than -6.

Among the farms, points B,C, D, and F can raise chickens based on the given system of linear inequality. 

4 0
3 years ago
What is the scale factor from Figure 2 to Figure 1?
Luda [366]

Answer:

3

Step-by-step explanation:

Each of the lines lengths multiply by 3.

6 0
3 years ago
Solve for x:<br><br><br><br> 2 x + 10 + 2 x - 6 = 36
skad [1K]
Group together the like terms (plus 2x with 2x) (subtract 10 by 6)

4x+4=36

Move plus four to the other side as a negative

4x=32

Divide both sides by 4

32 divided by 4 is 8


Therefore, x is equal to 8
7 0
3 years ago
A 16-ft-long ramp rises at an angle of 18.5 degree. How long is the base of the ramp to the nearest foot?
Brilliant_brown [7]

Answer: 13 ft

Step-by-step explanation: The bottom of the 14 foot ramp is equivalent to about 12.98 feet.

5 0
3 years ago
Determine the intercept of the line<br><br> Y-intercept: (___,___)<br> X-intercept: (___,___)
snow_tiger [21]

Answer:

y-inter:(0,-44)

x inter:(-10,0)

5 0
3 years ago
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