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
irina [24]
2 years ago
8

Prove that the line passing through points A (4.1) and B (-1.3) is perpendicular to the line passing through points G (4, -2) an

d D (6.3). Also find the equations AG, BD and the point of intersection of AB, GD​
Mathematics
1 answer:
Mumz [18]2 years ago
5 0

Answer:

  • See below

Step-by-step explanation:

<u>Find the slope of each line:</u>

  • m(AB) = (3 - 1)/(- 1 - 4) = 2 / - 5 = - 2/5
  • m(GD) = (3 + 2)/(6 - 4) = 5/2

<u>The product of the slopes is - 1, hence the lines are perpendicular:</u>

  • - 2/5 * 5/2 = - 1

Equation of each line

<u>Line AB</u>

  • y - 1 = -2/5(x - 4) ⇒ y = - 2/5x + 8/5 + 1 ⇒ y = - 2/5x +  13/5

<u>line GD</u>

  • y + 2 = 5/2(x - 4) ⇒ y = 5/2x - 10 - 2 ⇒ y = 5/2x - 12

<em>Their graph and intersection point is given in the attached picture</em>

You might be interested in
The table shows the values of a function f(x).
QveST [7]

Answer:

The average rate of change is =-4

Step-by-step explanation:

The average rate of change from x=a to x=b of f(x) is given by;

=\frac{f(b)-f(a)}{b-a}

We want to find the average rate of change of the function represented in the table  from x=-2 to x=2.

=\frac{f(2)-f(-2)}{2--2}

From the table f(-2)=25 and f(2)=9

The average rate of change from x=-2 to x=2 is

=\frac{9-25}{2--2}

=\frac{-16}{4}

=-4

3 0
3 years ago
What's 97156 divided by 107
olganol [36]
The answer is 908. Your welcome.
3 0
3 years ago
Read 2 more answers
There are 36 students playing tag at recess. This is 6 times more the hopscotch.
barxatty [35]
Where’s the model? If it says choose a model, there should be a model
3 0
3 years ago
Read 2 more answers
For f(x) = -4x + 2, find f(1).
sammy [17]

9514 1404 393

Answer:

  f(1) = -2

Step-by-step explanation:

Put 1 where x is and do the arithmetic.

  f(1) = -4·1 +2

  f(1) = -4 +2

  f(1) = -2

7 0
3 years ago
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
defon

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Is √65 between 6 and 7 on a number line
    7·1 answer
  • In a solution,the ratio of salt water by volume is 1:4 .What is the percent of salt in the total solution?
    7·1 answer
  • Write and solve a division problem involving decimals.Explain how you know where to place the decimal point in the quotient.
    9·1 answer
  • ¿Cuántas libras de café “La Finca” que se vende a $5 la libra debe mezclarse con 80 libras decafé común que se vende a $2 la lib
    14·1 answer
  • HELP PICTURE IS SHOWN
    15·1 answer
  • In what way is the Qur×an similar to holy books of other religions?
    13·2 answers
  • Lilia meets her cousin Carmen and starts chatting a few minutes later. Mariene, who is Carmen's cousin, can affirm that:
    12·1 answer
  • Does this graph show a function?
    8·1 answer
  • Determine the distance between the two points (1, -3) and (-4, 3) plotted on the graph below.
    7·1 answer
  • When a sample has an even number of observations, the median is the
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!