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3 years ago

Can you just make it as simple as possible please Please don’t answer unless you know

Mathematics

2 answers:

Rashid [163]3 years ago

8 0

Answer:

The light blue one -- second from the left.

x = 14 ; y = 7√2

Step-by-step explanation:

This is a right triangle. One of the angles is 45. So is the other base angle.

So one of the legs is 7√2. The other leg is also 7√2 because they are opposite equal angles.

The hypotenuse is

a^2 + b^2 = c^2

a = b

2a^2 = c^2

2 (7√2)² = c^2

2 49 * 2 = c^2

4 * 49 = c^2

c^2 = 196

c = 14

Digiron [165]3 years ago

8 0

X=14 y=7\/2 i believe

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5x+7x+6-26=29

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Hey!

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3 years ago

The pep club and honor society are joining forces to raise money for school improvements.

Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

$x+y\geq 500$ ----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=500$

$x\geq 100$ ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line $x=100$

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club was $300 and the donations raised by the honor society was $100

The point (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=300, y=100

Inequality A

$300+100\geq 500$

$400\geq 500$ ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club was $500 and the donations raised by the honor society was $200

The point (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=500, y=200

Inequality A

$500+200\geq 500$

$700\geq 500$ ----> is true

The ordered pair satisfy the inequality A

Inequality B

$500\geq 100$ ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution

3 0

3 years ago