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
ddd [48]
3 years ago
12

Please help me thank you

Mathematics
1 answer:
marusya05 [52]3 years ago
6 0
!.  Find the equation of line l
(-4, 2) , (3, -5)
m = (-5-2)/(3+4) = -7/7 = -1
y = mx + b
y = -x +b ( take a point and substitute x,y )
2 = 4 + b,    b = -2

y = -x -2 

Slope of perpendicular line  m =1 ( negative reciprocal)
y = x + b
2 = 1 + b,    b =1
y = x +1 

Now you need the point of intersection ( where they are equal to each other)
 - x -2 = x+1 
-3 = 2x,   x = - 3/2
Plug x =-3/2 in either line to find y
y = -3/2 +2/2 = - 1/2 

We have the point where the perpendicular meets the other line: 
M( -3/2, -1/2) 
We now have two points: P (1,2) and M and we can use the distance formula:
D =sqrt ( x2-x1)^2 + (y2-y1)^2 
D =  sqrt ( 1+3/2)^2 + (2+1/2) ^2 =sqrt ((5/2)^2 + (5/2)^2 =sqrt ( 50/4) = 5/2sqrt2

wow this one was long ....
You might be interested in
Aaron rides his bike at a constant rate of 10 miles per hour. Which table represents y, the number of miles Aaron rides his bike
Tema [17]

Answer:

I believe the answer is c. but I'm not too sure.

Step-by-step explanation:

my reasoning for this is because it's the chart that is constant. y starts out with 5=0.5 & they add five more on y's side. & x increased the same amount throughout the chart.

5 0
3 years ago
Read 2 more answers
Sandy is helping her uncle at this coffee shop. She observes that, when ordering coffee, 13 of customers select chocolate flavor
otez555 [7]
Answer: The probability that 3 or more of the next 5 customers will order chocolate is 30%.  3/10

Sandy conducted her own experiment to answer this question. She observed what groups of 5 customers ordered. In her experiment, 30% of the time at least 3 of the customers ordered chocolate.

The fraction 30% is 3/10.
7 0
3 years ago
Read 2 more answers
What is the factored form of 8x^2+12x
Anestetic [448]

Answer:

4x(2x+3)

Step-by-step explanation:

Since the common factor of 8x^2 and 12x is 4x, put that out and separate the distributed remaining factors.

6 0
3 years ago
The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>
stepan [7]

Answer:

Both legs would be 20

Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.

I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.

6 0
2 years ago
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of
kari74 [83]
Well There isn't enough evidence to tell how many hours each of them worked. Yu stated how long they each traveled separately but did not state the amount of hours worked, or any proof for it.

But Assuming that by worked you mean traveled.
Annie traveled 5 times the sum of the number of hours Brian traveled and 2. together they traveled 20 hours. find the number of hours each person worked.So 20 is 6 times the number of hours Annie & Brian Worked + 10
(From the 10 extra hours Annie worked from +2)
10/6=1 hour and 40 min
So Brain worked/traveled for 1 hour and 40 minuets. 
Then we find Annie's time. Add 2 hours to 1 hour and 40 and you get
3 hours 40 times that by 5 and you get 18 hours and 20 min
So Annie worked/traveled for 18 hours and 20 min
I hope this helped
4 0
3 years ago
Other questions:
  • Find 61x1,000 annex the zeros to form the product
    11·1 answer
  • Can you help me find the factors?
    5·1 answer
  • In order to survive, organisms must maintain stable conditions in their bodies, even though their external environments are alwa
    15·2 answers
  • (a) Draw the image of PQR after a rotation of 180° about the origin. Label the image P'Q'R' .
    15·2 answers
  • Solve<br>1. A cylinder with a radius of 5cm and a height of 6.8cm.​
    15·1 answer
  • Jeremy swims for 5 3/5 kilometers in a 7 Day period. she swims the same distance each day. what distance does he swim in each da
    15·1 answer
  • Did I do this correctly??please help​
    5·2 answers
  • What percent is shaded in the grid? Answer:​
    7·1 answer
  • Max wrote the number 0.785. After multiplying his number by a power of 10, he arrived at the number 7,850.0. What power of 10 di
    5·1 answer
  • Can someone help me please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!