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3 years ago

Please help:( The graph below is the solution for which set of inequalities?

Mathematics

1 answer:

OleMash [197]3 years ago

6 0

Answer:

Option 3rd is correct.

Step-by-step explanation:

We have been given the graph of the equation

$x+y\leq5$

$x+y\leq4$

$x\geq0$

$y\geq0$

We can see that one line of is under 5.

And the other line is under 4

And we can see the feasible region is in positive quadrant.

Therefore, option 3rd is correct.

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A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?

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3 years ago

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A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.

Having this clear, we can write the following relation with both similar triangles:

$\frac{H}{h}=\frac{A}{a}$ (1)

We know all these lengths except $H$ , which is the value we want to to find.

So, in order to approach this problem we have to find $H$ from equation (1):

$H=\frac{A}{a}h$

$H=\frac{5 ft}{1.5 ft}(6 ft)$

Then:

$H=20 ft$ >>>>>This is the height of the flagpole

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3 years ago

Which of the following lines is parallel to the line that passes through (−1, −3) and (5, 0)?

AlexFokin [52]

Answer:

depends on the options

Step-by-step explanation:

a parallel line would be y = 1/2x + b, where b is any number

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2 years ago

When you divide with negative exponents, you divide the rational numbers like normal and then you add the exponents.

Doss [256]

Answer:

the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.

Step-by-step explanation:

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2 years ago

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29 If the zeros of a quadratic function, F, are -3 and 5, what is the equation of the axis of symmetry

UNO [17]

Answer:

the axis of symmetry is X = 1

Step-by-step explanation:

make sure to ask if you need any further guidance.

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1 year ago