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
Ipatiy [6.2K]
2 years ago
15

AB and BC form a right angle at point B if A = (-3,-1) and B = (4,4) what is the equation if BC

Mathematics
1 answer:
sergejj [24]2 years ago
5 0

Answer:

7x+5y-48=0

Step-by-step explanation:

Refer the attached figure .

We are given a line AB

Point A=(x_1,y_1) = (-3,-1)

Point B=(x_2,y_2) = (4,4)

Formula for slope 'm' when two points are given :

m=\frac{y_2-y_1}{x_2-x_1}

Substituting thew values

m=\frac{4-(-1)}{4-(-3)}

m=\frac{5}{7}

Since we are given that AB is perpendicular to BC

So, By property - perpendicular slopes are negative reciprocals of each other.

\Rightarrow m_1\times m_2 =-1

\Rightarrow \frac{5}{7}\times m_2 =-1

\Rightarrow m_2 = \frac{-7}{5}

So, Slope for line BC : m_2 = \frac{-7}{5}

Point B = (4,4)

Formula of equation of line : y-y_1=m(x-x_1)

y-4=\frac{-7}{5}(x-4)

5(y-4)=-7(x-4)

5y-20=-7x+28

7x+5y-20-28=0

7x+5y-48=0

Hence the equation of line BC : 7x+5y-48=0

You might be interested in
(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girl
elixir [45]

Answer:

100

Step-by-step explanation:

160 * (5/8) = 100

4 0
3 years ago
7x^2+3y^2+12x+2y-6=0 Help me find the value of a,b,c and the discriminant number
Mrac [35]

Answer:

b o a h d

Step-by-step explanation:

1*5 3%9 46% &45 that is the answer

7 0
1 year ago
How many ninths in 2/3
GalinKa [24]
6/9 is in 2/3 all you do is multiply numerator and denominator by 3

3 0
3 years ago
Read 2 more answers
Please help, as soon as possible...
vodomira [7]

Answer:

1. a) Square

2. c) Rectangle

Step-by-step explanation:

1. If you cut this rectangular prism in way to be PERPENDICULAR to the base, that means you're cutting it straight down, from the top to the bottom, in a vertical line.  The cross-section obtained will be just like an end of the prism, which in this case is a square.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's vertical, perpendicular to the base, you'll get a square due to this particular form.  Technically, the answer could also be a rectangle, since a square is a rectangle.

2.  you cut this rectangular prism in way to be PARALLEL to the base, that means you're cutting it straight, from the front to the back, in an horizontal line. The cross-section obtained will be just like an top of the prism, which in this case is a rectangle.  Because it's a regular rectangular prism, no matter where you cut it, as long as it's an horizontal line, parallel to the base, you'll get a rectangle due to this particular form.

6 0
3 years ago
Samantha wants to find the height of a pine tree in her yard. She measures the height of the mailbox st 3ft and its shadow at 4.
Simora [160]
The tree is about 35.01 feet tall.
7 0
2 years ago
Other questions:
  • Haley is making cake for her party. she needs to make 6 servings of cake for every 3 people. if each cake pan contains 12 servin
    9·1 answer
  • Solve for Q<br><br>-392 = 28q​
    15·1 answer
  • A rally car race course covers 515.97 miles. The winning car completed the course in 6.5 hours. What was the average speed of th
    8·2 answers
  • 11. Cement pillars for a porch are 2 feet
    5·2 answers
  • Which equation shows how to determine the volume of the dollhouse?
    14·1 answer
  • A jewelry retailer offers a pendant for $95, and matching earrings for $68.95.
    11·1 answer
  • The perimeter of an isosceles trapezoid is 40 ft. The bases of the trapezoid are 11ft and 19ft. Find the area of the trapezoid.
    6·1 answer
  • How to answer this question
    10·1 answer
  • 2,12,72,432 what defines the sequence
    14·2 answers
  • Part B
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!