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
Helen [10]
3 years ago
9

AB and BC form a right angle at their point of intersection, B.

Mathematics
1 answer:
const2013 [10]3 years ago
8 0

Answer:

The y-intercept of AB is <u>(4/3)</u> and the equation of BC is y = <u>(-1/6)</u> x + <u>(4/3)</u>

If the y-coordinate of point C is 13, its x-coordinate is <u>4</u>.

=====================================

Step-by-step explanation:

AB and BC form a right angle at their point of intersection, B.

So, AB ⊥ BC

A = (14 , -1) , B = (2,1)

<u>Part A: Find the y-intercept of AB.</u>

The general equation of the line y = mx + c

Where: m is the slope and c is constant represents y-intercept.

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{1 - (-1)}{2-14} = \frac{2}{-12} = - \frac{1}{6}

y = (-1/6) x + c

Substitute with the point (2,1) to find c

1 = (-1/6) * 2 + c

c = 1 + 2 *(1/6) = 4/3

y = (-1/6) x + 4/3

So,  <u>the y-intercept of AB is 4/3</u>

=======================================

<u>Part B: Find the equation of BC.</u>

BC ⊥ AB at point B

if m is the slope of AB, the slope of BC = (-1/m)

m = (-1/6)

So, the slope of BC =  (-1/m) = 6

The equation of the line BC ⇒ y = 6x + c

Substitute with the point (2,1) to find c

1 = 6 * 2 + c

c = 1 - 12 = -11

y = 6x - 11

=========================================

<u>Part C: Find x-coordinate of C if y-coordinate of point C is 13.</u>

The equation of the BC is y = 6x - 11

Substitute with the y-coordinate of point C = 13

13 = 6x - 11

6x = 13 + 11 = 24

x = 24/6 = 4

You might be interested in
The table below shows the results of a survey conducted among the employees of a company to find the preferred choices for inves
gladu [14]

Answer: B

Step-by-step explanation:

Took the test

6 0
2 years ago
According to the Ruler Postulate, what does the set of points on any line correspond to?
S_A_V [24]
The correct answer is real numbers

8 0
3 years ago
Read 2 more answers
3.5 - 1.05 please help
netineya [11]

Answer:

The answer is 2.45

Step-by-step explanation:

I used this magic device called a calculator!

lol

5 0
3 years ago
Read 2 more answers
the longest side of an acute isosceles triangle 8 centimeters . Round to the nearest tenth, what is the smallest possible length
Triss [41]
Let x be the <span>length of each of two congruent sides.

</span>The triangle will be аcute if:     
x² + x² > 8²
2x² > 64
x² > 32
x > √32
x > 5.657

So, the smallest possible length of one of two congruent sides have to be 5.7 cm  (<span>to the nearest tenth)</span>
7 0
3 years ago
Read 2 more answers
Please help me. I need help
koban [17]
I am pretty sure the answer would be -.02
Bc you would do 2-3.6/5- -3
3 0
3 years ago
Other questions:
  • A square pyramid has sides of 4.1 cm, and a pyramid height of .6 cm, determine the volume.
    15·1 answer
  • What is the number of possible outcomes if three quarters are tossed and the total numbers of heads and tails are counted? A) 2
    10·2 answers
  • What is the height of a cylinder with a volume of 315 pi cubic meters and a radius of 6 meters?
    13·1 answer
  • What is the product?<br> (y^2+3y+7][8y^2+y+1)
    14·1 answer
  • Which of the following is a disadvantage to using graphs and diagrams? Check all that apply.                                    
    5·2 answers
  • What do you add to 2 2/9 to make 4
    11·2 answers
  • Milauskasville Middle School's Crazy Hair Club sold tickets to it's "Hair Today, Gone Tomorrow" talent show. A total of 55 ticke
    10·2 answers
  • Round the following as specified.<br><br> 153.38519 to the nearest thousandth.
    10·2 answers
  • Write an equation of a line that is parallel to y=2x-5 that passes through the point (2,6).
    9·1 answer
  • P(x)=2x^3-11x^2+ax-40 if x+4 is a factor of this polynomial what is the value of a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!