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4 years ago

Solve the inequality WILL MARK BRAINLIEST

Mathematics

1 answer:

Molodets [167]4 years ago

6 0

Answer:

Step-by-step explanation:

3x – 15 ≥ 3

First, add 15 to both sides:

3x – 15 + 15 ≥ 3 + 15

3x ≥ 18

Then, divide both sides by 3:

3x ÷ 3 ≥ 18 ÷ 3

x ≥ 6

Therefore, any number equal to 6 or greater (i.e., 6, 7, 8, 9...) is a solution of the inequality. Thus, 6 is a solution of the inequality.

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The coordinates of the endpoints of AB and CD are A(2,

Ratling [72]

Answer:

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

$m= \frac{y_2-y_1}{x_2-x_1}$

Formula to Find Distance between two points

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

mAB ( represents , Slope of AB )

1. $mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}$

2. $mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}$

3. $mCD=\frac{5-2}{6-5}=\frac{3}{1}=3$

4. $AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

5. $BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}$

mAC = mBC , and C is common point , hence these three are collinear points making a straight line whole slope is $-\frac{1}{3}$

$mAB=-\frac{1}{3}$

$mCD=3$

$mAB \times mCD = -\frac{1}{3} \times 3 = -1$

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

4 0

3 years ago

What is 4 7/9 converted to a improper fraction

Semmy [17]

$4 \frac{7}{9} = \frac{36}{9} + \frac{7}{9}= \frac{43}{9}$

6 0

4 years ago

Read 2 more answers

Write 622% as a mixed number.

vlabodo [156]

Answer:

Step-by-step explanation:

TO get a fraction from % we need to divide by 100.

622/1 x 1/100= 622/100

Hope this helps :D

6 0

3 years ago

Read 2 more answers

Can someone help me ASAP

lianna [129]

Answer:

D. 1/5^15

Step-by-step explanation:

When an exponent is negative you need to get the reciprocal to make it positive.

3 0

3 years ago

Read 2 more answers

Calculations that allow a researcher to draw conclusions about how meaningful a result is are collectively called ______________

tatiyna

Answer: Inferential

Step-by-step explanation:

Inferential statistics, has to do with taking data from the samples that the researcher has and then making generalizations about the population through the sample gotten.

Through Inferential statistics, one can draw conclusion about a particular phenomenon. Therefore, the answer to the above question is Inferential statistics

5 0

3 years ago