For rectangle ABCD, find m∠DEC.

Which ordered pair is NOT a solution to the inequality in the graph?

aalyn [17]

Given:

The inequality is

$y\leq 3x+2$

To find:

The ordered pair that is NOT a solution to the inequality in the graph.

Solution:

We have,

$y\leq 3x+2$

Checking the inequality for (0,0), we get

$0\leq 3(0)+2$

$0\leq 2$

So, the equality is true for (0,0). it means (0,0) is a solution of given inequality.

Checking the inequality for (-2,-4), we get

$-4\leq 3(-2)+2$

$-4\leq -6+2$

$-4\leq -4$

So, the equality is true for (-2,-4). It means (-2,4) is a solution of given inequality.

Checking the inequality for (0,2), we get

$2\leq 3(0)+2$

$2\leq 2$

So, the equality is true for (0,2). It means (0,2) is a solution of given inequality.

Checking the inequality for (-3,4), we get

$4\leq 3(-3)+2$

$4\leq -9+2$

$4\leq -7$

This statement is not true. So, the equality is false for (-3,4). It means (-3,4) is not a solution of given inequality.

Therefore, the correct option is D.

6 0

3 years ago

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What is the radius of a sphere with a surface area of 100πcm2?

Lorico [155]

Sa=4pir^2

100pi=4pir^2
divide both sides by 4pi
25=r^2
sqrt both sides
5=r
radius=5cm

4 0

3 years ago

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14. A salad recipe that serves 10 people requires 1 1/2 cups of celery. To serve 5 people, the amount

Dimas [21]

Answer:

3/4 cups

Step-by-step explanation:

10 people = 1 1/2 cups

Changing to a mixed number

10 people = 3/2 cups

Divide by 2

10/2 people = 3/2*1/2

5 people = 3/4 cups

5 0

3 years ago

Which of the following points is NOT a solution of the inequality y ≥ Ixl + 3?

omeli [17]

Hey there!

To solve this, we need to plug each of our answer options into the inequality and see if it is true. Which ever one doesn't make the inequality true when plugged in is the answer.

OPTION A

(x,y)=(-3,0)

We plug our values into the inequality.

0≥ I-3I+3

You may have noticed the bars surrounding the negative three.. If you didn't know, this is called absolute value. Absolute value is how far the number is from 0 on the number line. -7 is 7 away from 0 on a number line, so the absolute value of -7 is 7. The absolute value of 7 is 7. The absolute value of 0 is 0. Absolute value is signified by these bars. Le'ts finish evaluating.

0≥6

As you can see, zero is not greater than or equal to six. So, option A is false.

Since A is not a solution, we already know that that is the answer, so we don't even need to check B and C. But, we can still evaluate them if you want.

OPTION B

6≥I-3I+3

6≥6

This is true.

OPTION C

4≥I0I+3

4≥3

This is also true.

Therefore, the answer is A. (-3,0)

Have a wonderful day!

5 0

3 years ago

I need help please?!!!

aniked [119]

Answer:

Step-by-step explanation:

This explains step by step

Hope this helps! <3 -K

3 0

4 years ago