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3 years ago

Which point is in the solution set of this system inequalities?

Mathematics

1 answer:

Basile [38]3 years ago

4 0

Answer:

Step-by-step explanation:

To find which ordered pairs are solutions to the inequalities we can simply plug in the x and y values of the ordered pairs into the inequalities and if the equation is true for both inequalities then the ordered pair is a solution to the inequalities.

For (0,0)

x = 0

y = 0

y > x + 5

Substitute 0 for y and x

0 > 0 + 5

Simplify right side

0 > 5

The inequality is not true as 5 is greater than 0, not less than. So immediately we can eliminate answer choice A.

For (5,1).

x = 5

y = 1

y > x + 5

Substitute 5 for x and 1 for y

1 > 5 + 5

Simplify right side

1 > 10

Again, the equation is not true as 1 is not greater than 10. This means that c cannot be the answer

For (3,7)

x = 3

y = 7

y > x + 5

Substitute 3 for x and y for 7

7 > 3 + 5

Simplify right side

7 > 8

7 is not greater than 8 meaning that (3,7) cannot be a solution to the inequalities

None of the ordered pairs created true equations hence the answer is B

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If a bird is on the ground, 7 ft away from a 10 ft tall tree, then what is the angle (to the

iren2701 [21]

Answer:

The angle is 55°

Step-by-step explanation:

To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:

we will use trigonometric ratio to find the angle

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite /adjacent

from the diagram below, opposite = 10 feet and adjacent = 7 feet

the best trig.ratio to use is tan

tanФ = opposite /adjacent

tanФ = 10 /7

tan Ф =1.42857

to get the value of Ф, we will take the tan⁻¹ of both-side

tan⁻¹ tan Ф = tan⁻¹ 1.42857

Ф= tan⁻¹ 1.42857

Ф≈55°

Therefore, the angle is 55°

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3 years ago

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zloy xaker [14]

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3 years ago

How do you find the common ratio of <br>-3, -18, -108, -648

Olegator [25]

The common ratio is 8

example:

-3 x 8 = -18
-18 x 8= -108
so on so on

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3 years ago

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ASHA 777 [7]

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2. 80
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3 years ago

Read 2 more answers

Order number from least to greates <br> 9/5 -2.5 -1.1 -4/5 0.8

Brut [27]

Answer:

Step-by-step explanation:

Start by writing these five numbers in just one format (improper fractions with denominator 10):

9/5 = 18/10, and

-2.5 = -25/10, and

-1.1 = -11/10, and

-4/5 = -8/10, and, finally

0.8 = 8/10

The smallest of these (the least) is -25/10, and

the largest is 18/10.

Arranged in ascending order, we have:

-25/10, -11/10, -8/10, 8/10, 18/10, or

-2.5, -1.1, -4/5, 0.8, 9/5

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3 years ago