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
Aleksandr [31]
3 years ago
10

Find the distance from P to l. Line l contains points (-4,2) and (3,-5).Point P has coordinates (1,2).

Mathematics
1 answer:
Annette [7]3 years ago
7 0
Hello,

A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2

Slope of the perpendicular: 1

y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.

Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q

|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....



You might be interested in
Please Help!!! Brainliest will be given!
inn [45]

Answer:

1. C. Yes, because a sum of cubes can be factored

2a. false

2b. false

2c. true

2d. false (based on what is written in the equation; refer to step-by-step)

Step-by-step explanation:

1.  Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)

2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2

2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)

2c. You can factor using the perfect square rule, making it (a+b)^2

2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)

3 0
3 years ago
It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?
brilliants [131]

Answer:

969 hours

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
3.99 4.29 and 2.89 range
oee [108]

Answer:

1.4

Step-by-step explanation:

Sample size: 3

Lowest value: 2.89

Highest value: 4.29

Range: 1.4

formula for calculating the range:

Range = maximum(x_i) - minimum(x_i)

where x_i represents the set of values.

7 0
3 years ago
itchell took a math exam today.If he got 63 out of 84 questions correct, what percentage did Mitchell get wrong?
shutvik [7]

Answer: 25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
An integer is 5 more than 4 times another. If the product of the two integers is 51, then find the integers.
Yakvenalex [24]

Answer:

  • <u>3 </u><u>and</u><u> 17</u> are required integers

Step-by-step explanation:

  • Let one integer be x
  • And other integer be y

x = 4y + 5

xy = 51

<u>According to </u><u>question </u><u>:</u>

➞ (4y + 5)y = 51

➞ 4y² + 5y = 51

➞ 4y² + 5y - 51 = 0

➞ 4y² + 17y - 12y - 51 = 0

➞ y (4y + 17) - 3(4y + 17) = 0

➞ (y - 3)(4y - 17) = 0

➞ y - 3 = 0

➞ <u>y = 3</u>

Hence,

➞ <u>y = 3</u>

➞ x = 4y + 5

➞ x = 4 (3) + 5

➞ x = 12 + 5

➞<u> </u><u>x = 17</u>

∴ The required integers are <u>3 and 17</u>

7 0
2 years ago
Other questions:
  • Yolanda will put 70 photos ina scrapbook. She will put the same number of photos on each of 6 pages. Four photos will be in each
    13·1 answer
  • Solve –2x2 – 16x – 44 = 0 <br><br> answer please using quadtratic equation ...?
    6·1 answer
  • steven has a rectangular rug with a perimeter of 16 feet the width of the rug is 5 feet what is the length of the rug
    12·2 answers
  • Suppose Jose buys 4 pounds of sausage that cost $8.79 per pound, a bottle of mustard that costs $1.38, and two loaves of Cuban b
    6·2 answers
  • What is the graph of the equation? x=-5
    5·1 answer
  • If 0 is in the quadrant IV and sin 0=1/2, then cos0___
    14·1 answer
  • Subtract 6 1/4 - 3 5/8 what is it ???
    6·1 answer
  • Help me pls anyone?
    7·1 answer
  • QUICKLY HELP ME PLSSSSS
    8·2 answers
  • What is the greatest common factor of 10 and 3? i dont get this i have a math touter that wont really help and i still dont unde
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!