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
Sedbober [7]
3 years ago
10

Two perpendicular lines have opposite y-intercepts. The equation of one of these lines is y = mx + b. Express the x-coordinate o

f the intersection point of the lines in terms of m and b.
Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Answer:

x = -2bm/(m²+1)

Step-by-step explanation:

One line has equation

... y = mx + b

The slope of the perpendicular line is the negative reciprocal of the slope of the original line. The perpendicular line with the opposite y-intercept has equation

... y = (-1/m)x - b

The point of intersection is where the x- and y-values are equal, so ...

... mx + b = (-1/m)x - b

... (m +1/m)x = -2b . . . . . . . add 1/m - b to both sides

... (m²+1)x = -2bm . . . . . . . multiply by m

... x = -2bm/(m²+1) . . . . . . divide by the coefficient of x

You might be interested in
Tom wants to reach a second floor window on a house that is 20 feet above ground. If he must put the ladder at a 70° angle to th
vovangra [49]
Let the ladder length be L, then

sin 70 = 20/L, L = 20/sin70 = 21.3 feet
the length of ladder is 21.3 feet
5 0
3 years ago
Can someone please help with 15?
natima [27]
The answer would be c
8 0
3 years ago
PLEASE HELP MATHS! ​
mojhsa [17]

Answer:

what the choices?

Step-by-step explanation:

8 0
3 years ago
The diameter of a circle is 15 ft. Find its circumference in terms of \piπ.
Paladinen [302]
C= 2pi
15= diameter. Radius= 15/2. R= 7.5
C= 2 times pi times 7.2
C=15 pi
C= 47.1
7 0
2 years ago
What is the degree of the polynomial? <br><br> Can someone please check my work?
worty [1.4K]
Yes I agree with that because you combined the terms in the monomial correctly and the degree of the monomial was greater then the degree of any other mono/binomials in the polynomial
7 0
3 years ago
Other questions:
  • Which of the following points lie in the solution set to the following system of inequalities?
    12·1 answer
  • QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu
    11·1 answer
  • How many times dose 10 go into 450
    5·1 answer
  • The number of patients treated at Dr. Martin's dentist office each day was recorded for nine days. These are the data: 6, 6, 6,
    10·1 answer
  • Is there a difference of squares in 4(4n^2-9)
    8·1 answer
  • Una función de magia se llevó a cabo en el auditorio de la escuela. Asistieron 150 adultos
    8·1 answer
  • You roll a die what is the probability a prime number will come up?​
    14·1 answer
  • -k/3 = 9<br> answer = ??
    5·2 answers
  • 01:59:16
    7·2 answers
  • Item 4
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!