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3 years ago

Choose the point on the terminal side of -45°. (-3, -3) (4, -4) (5, 5) (-2, 2)

2 answers:

8 0

The angle of -45 its terminal side lies in the fourth quadrant, i.e. the x-coordinates is *positive* and y-coordinates is *negative*

The point (4,-4) is the only one that satisfies that condition

hope that helps

Sladkaya [172]3 years ago

4 0

(4, -4) is the answer

-45<span>° is in quadrant IV and the point (4, -4) is the only point out of the points given that is also in quadrant IV</span>

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Vlad [161]

Answer: a) about 450

Step-by-step explanation:

50 multiplied by 9 is 450 and its asking for an approximate so it would be anything near 450

3 0

3 years ago

The length of the hypotenuse of a 30 - 60 - 90 triangle is 16 cm.

xeze [42]

Answer:

8, 8x square root of 3

Step-by-step explanation:

16=2x

x=8

4 0

3 years ago

Solve for x. Show each step of the solution. <br><br> 4(8-x)-32=98-5(3x+24)

Firlakuza [10]

Answer: x=−2

Step-by-step explanation:

Let's solve your equation step-by-step.

4(8−x)−32=98−5(3x+24)

Step 1: Simplify both sides of the equation.

4(8−x)−32=98−5(3x+24)

(4)(8)+(4)(−x)+−32=98+(−5)(3x)+(−5)(24)(Distribute)

32+−4x+−32=98+−15x+−120

(−4x)+(32+−32)=(−15x)+(98+−120)(Combine Like Terms)

−4x=−15x+−22

−4x=−15x−22

Step 2: Add 15x to both sides.

−4x+15x=−15x−22+15x

11x=−22

Step 3: Divide both sides by 11.

11x /11 = −22 /11

x=−2

8 0

3 years ago

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.

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7 0

2 years ago

Jess observed that 60% of the people at a mall on a particular day shopped for clothes. If 2500 people at the mall did not shop

GalinKa [24]

2500 is 40% of the 100%
so, from the 40%, figure out 10%
2500/4=600
600 x 6=3,600
so, 3,600 is the answer

7 0

3 years ago