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r-ruslan [8.4K]

2 years ago

13

The sides of a triangle measure 2+ 5,−4, and 3(2+ 1). What is the perimeter of the triangle?

1 answer:

marshall27 [118]2 years ago

4 0

The perimeter of the triangle is 10. Hope this helps and Brainliest would be appreciated

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Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x

miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are $y\leq 2x-2$ and $y\leq x^{2} -3x$ .

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), $-1\leq 2(-2)-2 \implies -1\leq -6$ .

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), $3\leq 2(1)-2 \implies 3\leq 0$

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), $1\leq 2(2)-2 \implies 1\leq 2$ .

$1\leq 2^{2} -3(2) \implies 1\leq -2$

This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.

For (4,2), $2\leq 2(4)-2 \implies 2\leq 6$

$2\leq 4^{2} -3(4) \implies 2\leq 4$

Both statements are true. Therefore (4,2) is a solution and option D is correct.

To learn more about inequalities visit:

brainly.com/question/20383699.

#SPJ1

7 0

1 year ago

mafiozo [28]

The length of the arc

5 0

2 years ago

Read 2 more answers

Morgan begins biking south to the park at 20mph at noon. Corona leaves from the same point 15 min (.25hr) later to catch her. Ho

garri49 [273]

Answer:

X = 1h15mins

Step-by-step explanation:

Rate Time Distance

Morgan 20 X 20X

Corona 25 X – ¼ 25(X – ¼)

If they meet each other, they need to travle the same distance, mean :

20X = 25(X – ¼)

X = 1.25

1 hour and 15 minutes

6 0

3 years ago

An equation is shown -4/5 (9x-20)-3x 4/5 x -6

Amanda [17]

Answer: x=2

Step-by-step explanation:

if u plug in the value of x=2 into the equation both sides equal -22/5

5 0

2 years ago

Consider these functions

Evgen [1.6K]

<h3>Answer: D) 31</h3>

==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

7 0

2 years ago