1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ELEN [110]
3 years ago
9

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

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

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

You might be interested in
There were some gumballs in a bag. Mrs. Roxas
Mekhanik [1.2K]

Step-by-step explanation:

6 \times  \frac{3}{2}  \times  \frac{4}{1}  = 36

7 0
2 years ago
in the problem the quotient of x and 6 decreased by 9 is that you have to find out where does The x and 6 go in a fraction. wher
Komok [63]

Answer:

I think it would be x÷6-9 or x/6-9

Step-by-step explanation:

Quotient means to divide so you are dividing x by 6. Decreased by 9 means subtract by 9. I hope this helps you! :)

5 0
2 years ago
What is the value of b2 - 4ac for the following equation? x(x 8) = 9
-BARSIC- [3]
If you would like to know the value of b^2 - 4 * a * c, you can calculate this using the following steps:

x * (x + 8) = 9
x^2 + 8x - 9 = 0
ax^2 + bx + c = 0

a = 1
b = 8
c = - 9

D = <span>b^2 - 4 * a * c = 8^2 - 4 * 1 * (-9) = 64 + 4 * 9 = 64 + 36 = 100

The correct result would be 100.</span>
4 0
3 years ago
Eight more than three times a number equals four less than the number
zzz [600]

Hey!

---------------------------------------------------

Solution ↓

The question is asking you turn this mathematical explanation to standard form.

Eight more: + 8

Three times a number: (3 * n)

Equals: =

Four less than a number: n - 4

---------------------------------------------------

Final Answer ↓

(3 * n) + 8 = n - 4

---------------------------------------------------

Hope this helped! Good Luck!

6 0
3 years ago
Use long division to convert − 325/16 to a decimal.
VLD [36.1K]
To write 325/16 as a decimal you have to divide the numerator by the denominator of the fraction. i divided 325/16 and got 20.3125
8 0
3 years ago
Read 2 more answers
Other questions:
  • 3 – 3x = 3(1 – x)<br> Is is commutative property identity property or distributive property
    7·1 answer
  • Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.
    14·2 answers
  • I know I asked this question, but please help me!!!!
    7·1 answer
  • Pls help me if u do i will give u the best answer (well of course)
    8·2 answers
  • What are the steps for solving v^2+7v+6=0
    12·2 answers
  • Can anyone help me with the slope-intercept form??<br><br>sorry it's sideways!!​
    11·1 answer
  • If (2,3) is reflected over the y axis what is the new coordinates
    13·1 answer
  • Can anyone help !! Please
    9·1 answer
  • Pls pls answer this asap no wrong answers pls
    6·1 answer
  • Please someone help me out asap! Need this done
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!