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
Aleks04 [339]
3 years ago
14

Find the point on the line 4x+4y+5=0 which is closest to the point (−2,−3).

Mathematics
1 answer:
abruzzese [7]3 years ago
3 0
We know that

The point on the line 4x+4y+5=0 which is closest to the point (−2,−3) <span>will be located on the line perpendicular to the given line and will go through the given point
</span>
step 1
the slopes of two perpendicular lines
are
m1*m2=-1
given line
4x+4y+5=0------> 4y=-4x-5----> y=-x-1.25
m1=-1
so
m2=1

step 2
find the equation of the line with m2=1 and point (−2,−3) 
y-y1=m*(x-x1)-----> y+3=(1)*(x+2)----> y=x+2-3-----> y=x-1

step 3 
The point on the line 4x+4y+5=0 which is closest to the point (−2,−3) is the intersection of the line y=-x-1.25 and the line y=x-1

using a graph tool
see the attached figure

the solution is the point (-0.125,-1.125)

You might be interested in
can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
Doss [256]

Step-by-step explanation:

I got you,

a) Work...

First equation: y = 4x + 3

Second equation: y = 2x + 11

If he wants to play 2 games...

y = 4 (2) + 3

y = 11

y = 2 (2) + 11

y = 15

<u>Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.</u>

b) Work...

seven games...

y = 4 (7) + 3

y = 31

y = 2 (7) + 11

y = 25

<u>Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.</u>

I hope this helps :)

7 0
3 years ago
Read 2 more answers
A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
yan [13]
X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.
5 0
3 years ago
State if each triangle is a right triangle:<br><br>13 ft<br>5 ft<br>10 ft<br>​
Kaylis [27]

Answer:

Step-by-step explanation:

the longest length is always the hypotenuse

Use Pythagorean theorem

a^2+b^2=c^2

5^2+10^2=c^2

c=11.18

Note: if c=13 than it is a right triangle

since 11.18 not=13

not right triangle

4 0
2 years ago
Read 2 more answers
Find the population mean or sample mean as indicated.<br> Sample: 17, 11, 8, 12, 22
Dominik [7]

Answer:

mean:12

Step-by-step explanation:

6 0
3 years ago
A child 4 feet tall casts a shadow 6 feet
klio [65]

The Answer should be C) 40.5 feet

3 0
3 years ago
Other questions:
  • There is 3 red marbles, 7 white marbles, and 5 blue marbles. You draw 3 marbles replacing each one before drawing the next. What
    8·1 answer
  • Sari is factoring the polynomial 2x2 + 5x + 3. What is the missing number in her factorization?
    5·1 answer
  • How do you graph 4x=2y-3
    7·2 answers
  • A certain recipe calls for 2/3 cup of flour. A Chef is making an amount that is 3/5 of the recipe how much flour should chef use
    10·1 answer
  • Perry made $34,885 this year. If the inflation rate was 6.5 percent, how much was his salary actually worth? (purchasing power)
    5·1 answer
  • What does x+7/8=4 equal?
    11·2 answers
  • Which of the following inequalities matches the graph? x −1 x −1 y −1 y −1
    6·2 answers
  • What is 12.8×3/4 pls answer this asap​
    6·2 answers
  • A circle with a radius of 6 sits inside a circle with a radius of 9cm
    7·1 answer
  • HIII could some one please help me !!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!