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Aneli [31]
1 year ago
10

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) an

d (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which system of linear inequalities is represented by the graph?

y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4
Mathematics
1 answer:
ValentinkaMS [17]1 year ago
7 0

The system of linear inequalities that is represented by the graph is C. y > x – 2 and x + 2y < 4.

<h3>How to get the equation?</h3>

The first thing to to find the slope. This will be:

m = y2 - y1/x2 - x1

m = 0+2/2-0

m = 2

The equation in slope intercept form will be:

y = mx + b. The inequality will be y > x - 2.

Again, the slope will be:

= (0 - 2)/(4 - 0)

= -1/2

The equation will be -1/2x + 2.

Multiply both sides by 2.

2y < -x + 4

x + 2t < 4

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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The boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th
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Answer:

The expression of h as function of x is   h = \sqrt{(d + 5500) (d - 5500)}

Step-by-step explanation:

Given as :

The distance of blimp  (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = \frac{AC}{BC} = \frac{h}{d}

And sin Ф =  \frac{AB}{BC} = \frac{5500}{d}

∵, cos²Ф = 1 - sin²Ф

So, (\frac{h}{d})^{2} = 1 - (\frac{5500}{d})^{2}

Or, (\frac{h}{d})^{2} = (\frac{d^{2}- 5500^{2}}{d^{2}})

Or,                                     h² = d² - 5500²

∴                                        h = \sqrt{d^{2}- 5500^{2}}

Or,                                     h = \sqrt{(d + 5500) (d - 5500)}

Hence The expression of h as function of x is   h = \sqrt{(d + 5500) (d - 5500)}     Answer

3 0
3 years ago
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