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
What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its v
Georgia [21]
(1-0.2)(1-0.4)(1-0.62) = (0.8)(0.6)(0.38) = 0.1824

Answer: 0.1824
8 0
3 years ago
Read 2 more answers
Jackie has a maximum of $450 to spend on shirts and jeans. The shirts she wants to buy are $12 each, including tax. The jeans sh
Sloan [31]

Answer: 12s+27j≤450

Step-by-step explanation:

From the question, we are informed that Jackie has a maximum of $450 to spend on shirts and jeans and that the shirts she wants to buy are $12 each, including tax while the jeans she wants to buy are $27 each, including tax.

The inequality that represents all possible combinations of s, the number of shirts, and j, pairs of jeans, Jackie can buy will be:

= 12s+27j≤450

4 0
3 years ago
Ratio of 34 inches to 1 foot
ololo11 [35]

Answer:

34:12

Step-by-step explanation:

5 0
3 years ago
What is the answer to − 4/7 = 5/2t ( its a one step equation)
nata0808 [166]
The answer to this equation would be -8/35
7 0
3 years ago
Express it in slope-intercept form.
natka813 [3]

Hey there! :)

Answer:

y = 1/4x - 3.

Step-by-step explanation:

Use the slope-formula to find the slope of the line:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in two points from the line. Use the points (-4, -4) and (0, 3):

m  = \frac{-3 - (-4)}{0 - (-4)}

Simplify:

m = 1/4.

Slope-intercept form is y = mx + b.

Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:

y = 1/4x - 3.

7 0
3 years ago
Other questions:
  • What slope passes through the points (2,7) and (-1,4) ?<br><br> A. -1 <br> B. 1<br> C. 3
    6·1 answer
  • Find the area of the quadrilateral in the figure.
    8·1 answer
  • −4t + 9 ≥ −7 PLEASE HELPPP
    11·1 answer
  • The equation of a line is p is 2x + 3y = 3, and the equation of line q is 2x - 3y = 0. Lines P and q have same y -intercept
    13·1 answer
  • On Monday a classroom had 25 students. On Tuesday there was 33
    6·1 answer
  • HELP The center of a circle is 5 units below the origin, and the radius is 10 units. What is the equation of this circle?
    15·2 answers
  • Which describes the graph of y= (x+3)^2 - 4?
    5·2 answers
  • HELP! I NEED MORE THAN 5 SENTENCES!!
    14·1 answer
  • Julia’s favorite snack comes in a box shaped like a right triangular prism. The dimensions of the prism are shown
    8·1 answer
  • Find all values of y such that the distance between (7,y) and (-3,8) is 18 Y=
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!