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
How to equally 4/3 feet of rope
yaroslaw [1]
<span>2/3 feet
 
Hope That Helped =D  </span><span />
4 0
3 years ago
‼️‼️need help asap ‼️‼️
ohaa [14]

Answer:

D

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

=3x^3+8x^2-7x-4-(2x-6)

=3x^3+8x^2-9x+2

4 0
2 years ago
10+2(x - 7) - 4+3(x+6) - 1 (distributive property)
Alja [10]
I got 5x-9 as the answer
6 0
3 years ago
HELP ME PLZZ I NEED HELP WITH THIS !!
dimaraw [331]

Answer:

The answer is D. 18 + (-7)

7 0
3 years ago
Read 2 more answers
2. What is 9 squared. <br> a. 3<br> b. 81<br> C. 18<br> O d. 11
vitfil [10]

Answer:

81

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • How, Let a = a rational number. Let b = an irrational number. Assume a + b = c and c is rational (attempting to disprove the con
    13·2 answers
  • Round 38496 to the nearest thousand
    5·1 answer
  • Jessica want to slowly decrease her daily caloric intake, which is currently 2500 calories per day. She plans to decrease her ca
    15·1 answer
  • Consider the exponential function g(x)=100•(2)^x. Which of the following situations could be modeled by the function? SELECT ALL
    9·2 answers
  • Joey is constructing the circumscribed circle for △RST . He has already used his compass and straightedge to complete the part o
    12·2 answers
  • A rectangle has a prism length os 4 1/4 a width of 3 in and height is 1 1/4
    10·2 answers
  • Find the reference angle for -369°​
    13·1 answer
  • Jimmy is comparing prices of bottled drinks. He finds one bottle of water that costs $1.65 and contains 11 ounces. He then finds
    6·1 answer
  • What is this answer h – 6.5 = 15
    15·1 answer
  • Find the approximate volume of a cylinder that has a diameter of 16 in. and a height of 10 in. Use 3.14 for π.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!