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
Studentka2010 [4]
3 years ago
7

Points F(3, 3), K(6, 5), J(8, 2) and L(5, 0) lie in a coordinate plane. Which lines are perpendicular?

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0
To determine if a line is perpendicular to another, you must first determine the slope...
m = y1-y2/x1-x2
m of FK = 3-5/3-6 = -2/-3 = 2/3
m of FJ = 3-2/3-8 = 1/-5
m of FL = 3-0/3-5 = 3/-2
m of KJ = 5-2/6-8 = 3/-2
m of KL = 5-0/6-5 = 5
m of JL = 2-0/ 8-5 = 2/3

In order for two lines to be perpendicular, their slopes must be opposite reciprocals...
FK is perpendicular to FL
FK is perpendicular to KJ
JL is perpendicular to FL
JL is perpendicular to KJ
FJ is perpendicular to KL
You might be interested in
Jada has 60% of her goal of $60 saved for her trip. If 10% x 6 = 60%, how much money does Jada have saved
Murljashka [212]

Jada has saved 60% of $60.  This is a percent of number question.

First we need to know 60% of $60

Change the percent to a decimal and multiply.

.60(60) =$36 saved so far.

8 0
4 years ago
Read 2 more answers
Write the fraction as an equivalent fraction with the given denominator 7/4 = _/20
zzz [600]

Answer:

35/20

Step-by-step explanation:

20 divided by 4 = 5

so our multiple is 5

5 x 4 = 20

so we have to do the same to the numerator

5 x 7 = 35

Simplified= 1 3/5

4 0
3 years ago
Omar has decided to purchase an $11,000 car. He plans on putting 20% down toward the purchase, and financing the rest at 4.8% in
Solnce55 [7]

Answer:

The monthly payment is $262.95

Step-by-step explanation:

* Lets explain how to solve the problem

- Omar has decided to purchase an $11,000 car

- He plans on putting 20% down toward the purchase

* Lets find the value of the 20%

∵ The principal value is $11000

∴ the value of the 20% = 20/100 × 11000 = 2200

∴ He will put $2200 down

* Lets find the balance to be paid off on installments

∴ The balance = 11000 - 2200 = 8800

- He financing the rest at 4.8% interest rate for 3 years

* Lets find the rule of the monthly payment

∵ pmt=\frac{\frac{r}{n}[P(1+\frac{r}{n})^{nt}]}{(1+\frac{r}{n})^{nt}-1} , where

- pmt is the monthly payment

- P = the investment amount

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested or borrowed for

∵ P = 8800

∵ r = 4.8/100 = 0.048

∵ n = 12

∵ t = 3

∴ pmt=\frac{\frac{0.048}{12}[8800(1+\frac{0.048}{12})^{3(12)}]}{(1+\frac{0.048}{12})^{3(12)}-1}

∴ pmt=\frac{0.004[8800(1.004)^{36}]}{(1.004)^{36}-1}=262.95

* The monthly payment is $262.95

8 0
3 years ago
Alma ask money to buy a bicycle of $150. his mom give him $40 at the moment and gives kyle $10 each month to pay the total of th
Tanya [424]

Answer: $40+$10x

Step-by-step explanation:

1. We already know he has $40.

2. 10x represent the 10 dollars he is paid per month.

5 0
3 years ago
What is the equation of the line x–3y=18 in slope-intercept form?
olya-2409 [2.1K]
Solve the equation for y 

x-3y= -18

-3y = -18-x

now, divide both sides with -3

y = (-18-x)/-3

y = 6 +x/3

your slope is 1/3

and y-intercept is 6

4 0
3 years ago
Other questions:
  • PLEASE HELP!!
    15·1 answer
  • Solve - 8+ (15 - 3)/4
    13·1 answer
  • 0.3f +1 = 0.2f - 4.5<br> What’s the answer step by step
    13·2 answers
  • Solve: |4x + 2| + 6 =0<br> a.all real number<br> b.1 or -2<br> c.-1 or 2<br> d. no solution
    5·1 answer
  • For an upcoming school dance, Mr. Abbot bought 24 bags of pretzels and 18 bags of chips.
    14·2 answers
  • What is the following answer for 7/4 x 10?<br> (1) 14<br> (2) 18 1/4<br> (3) 28<br> (4)30 1/2
    9·2 answers
  • im not sure on how to do this If one angle of a triangle is 30° more than twice another angle, and the third angle is equal to t
    7·1 answer
  • Natasha was thinking of a number. Natasha divides by 5, then adds 11 to get an answer of 11. What was the original number?
    8·1 answer
  • What are the general direction of badplaas from colesburg
    13·1 answer
  • The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!