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4 years ago

!!!!!PLEASE HELP!!!!!!

Mathematics

1 answer:

Novay_Z [31]4 years ago

5 0

group 2 hope i help...............

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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

You have a total of 42 math and science problems for homework. You have 10 more math problems than science problems. How many pr

elena-14-01-66 [18.8K]

Answer:

number of math problems = 26

number of science problem = 16

Step-by-step explanation:

a total of 42 math and science problems for homework

Let m be the number of math problems and 's' be the number of science problems

$m+s=42$

You have 10 more math problems than science problems

$m=s+10$

substitute s+10 for m in the first equation

$m+s=42$

$s+10+s=42$

$2s+10=42$

subtract 10 from both sides

$2s = 32$

divide both sides by 2

$s= 16$

$m=s+10$

$m=16+10$

$m=26$

number of math problems = 26

number of science problem = 16

3 0

4 years ago

Read 2 more answers

Math problem 10 points

Svetach [21]

(a) 24

(b) 0.037 ft^3

(c) 0.888

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3 years ago

Use the diagram to solve for x<br> 15x + 5<br><br> 16x+2

kondor19780726 [428]

Answer:

Step-by-step explanation:

I think you set them equal to each other.so you would do 16x+2=15x+5 and you would get x=3. I hope this helps out! ☺️

8 0

3 years ago

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GIVING POINTS!! will give brainliest

kipiarov [429]

Answer:

-7 and -5

AND

-3 and -1

Step-by-step explanation:

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2 years ago