line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to line AB ?

Answers

Answer 1

Answer: Since the line is parallel to AB, the two slopes are the same

slope of AB = m = (y₂-y₁)/(x₂-x₁)

m= (5-0)/(-6-(-3))= - 5/3
The equation of the line is y-y₁=m(x-x₁)
The origin P(0,0)
y=mx
y= - $(5)/(3)$ x Solution

Related Questions

A kid's pool had a small opening though which water leaked out sometimes. Water was poured into the pool from time to time. The graph below shows the amount of water in the pool (y), in gallons, at a certain time (x), in hours:Graph of first line going through ordered pairs 0, 40 and 2, 10. Graph of second line going through ordered pairs 2, 10 and 4, 10. Graph of third line going through ordered pairs 4, 10 and 7, 50.Which of the following statements best describes the amount of water in the pool?It is increasing during the time interval 4 < x < 7 hours.It is increasing during the time interval 10 < x < 50 hours.It is decreasing during the time interval 4 < x < 7 hours.It is decreasing during the time interval 10 < x < 50 hours.
1/3,0,1,-2 what are the next 3 terms of the sequence
Factor the expression.15n−18 Enter your answers in the boxes to complete the factored expression.
The balance in Alex's bank account is $675. The accountearns 6% simple interest calculated twice per year. If Alexmakes no deposits or withdrawals for 2 full years, thebalance in his account (rounded to the nearest dollar) willbe -Select one:O$852$715$837$756
The test to detect the presence of the hepatitis B virus is 97% accurate for a person who has the disease and 99% accurate for a person who does not have the disease. In a given population, 0.55% of the people are infected. The probability that a randomly chosen person gets an incorrect result is

Use the multiplication principle of equality to eliminate fractions, then solve for x3/4x-3/10=1/4+6/5x

Answers

$(3)/(4)x- (3)/(10)= (1)/(4)+ (6)/(5)x\ \ | \ multiply \ each \ term \ by \ 20\n\n5*3x-2*3=5+4*6x\n\n15x-6=5+24x\ \ |\ subtract\ 24x\ to\ both\ sides \n\n 15x-24x-6=5 \ \ | \ add\ 6\ to\ both\ sides \n\n15x-24x =5+6 \n\n-9x =11\ \ | \ divide \ both \ sides\ by\ (-9) \n\nx=-(11)/(9)$

Which statement describes the graphA. The graph crosses the y-axis at (0,7). Increasing from x = -10 to
x = -2 and decreasing from x = -2 to x = 10.
B. The graph crosses the y-axis at -8,0), increasing from * = -10 to
x = -2 and decreasing from x = -2 to x = 10
C. The graph crosses the y-axis at (0,7), increasing from x = -10 to
x = -2 and remaining constant from x = -2 to x = 10.
D. The graph crosses the y-axis at (0,7), increasing from x= -10 to
X = 0 and decreasing from x = 0 to x = 10

Answers

AAnswer:

Step-by-step explanation:

Write an integer for: a deposit of $45 * Plz help fast!

Answers

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

What are integers?

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Learn more about numbers here;

brainly.com/question/3151755

#SPJ2

Answer:

$45

Step-by-step explanation:

A deposit is positive, so the integer will be positive.
An integer is a whole number that's not a fraction, so a positive integer for 45, would be 45.

I hope this helps!

Every month, Carmine's savings account pays 0.049% interest on the amount in the account. Ifshe has $1,100.00 in the account at the beginning of the month and doesn't withdraw any of it,
what will be the interest payment for this month?

$53.90

$49.00

$0.54

S0.49

Answers

Answer:

interest rate (r)=0.049%

principal (p) =1100

Time (t)= 1/12

interest = (1100*1/12*0.049)/100 = 0.045

please check question once

What is the solution to this equation?A. x=-4
B. x= 100
C. x= 4
D. x=-100

Answers

Answer:

D. x = - 100

Step-by-step explanation:

$\bold{\frac x5=-20}\n{}\ \ ^(\cdot5\qquad\cdot5)\n\bold{\frac x5\cdot\frac51=-20\cdot5}\n\n\bold{x=-100}$

Marty's cat weighs 10.4 pounds. this is 24.4 pounds less than the weight of his dog. write and solve a subtraction equation to find the weight of marty's dog.

Answers

I hope this helps you

dog-24,4=10,4

dog=34,8

Other Questions

#1. Given the binomials (x - 2), (x - 1), (x + 2), and (x - 4), which one is a factor of f(x) = x3 + 7x2 + 14x + 8? (x - 2) (x - 1) (x + 2) (x - 4) Given the binomials (x + 1), (x + 4), (x - 5), and (x - 2), which one is a factor of f(x) = 3x3 - 12x2 - 4x - 55? (x + 1) (x + 4) (x - 5) (x - 2) #2. What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2?6x2 - 7x + 2/3x2 - 9x + 8/ 6x2 - 7x + 2 - 8 over the quantity of x minus 2/3x2 - 9x + 8 - 8 over the quantity of x minus 2 #3. What is the f of x over the g of x when f(x) = 6x3 - 19x2 + 16x - 4 and g(x) = x - 2? #4.What is the quotient when -3x3 + 5x + 14 is divided by x - 2? -3x2 - 6x - 7/- 3x2 - x + 12/-3x2 + 6x - 7 + 28 over the quantity of x minus 2/ -3x2 - x + 12 + 28 over the quantity of x minus 2. #4. What is the quotient when x3 - 5x2 + 2x + 5 is divided by x - 2? x2 - 3x - 4/ x2 - 7x + 16/x2 - 3x - 4 - 3 over the quantity of x minus 2 x2 - 7x + 16 - 3 over the quantity of x minus 2

If anyone can assist with a step by step

Which shows 522 − 482 being evaluated using the difference of perfect squares method?522 − 482 = (2704 + 2304)(2704 − 2304) = 2,003,200 522 − 482 = (52 + 48)(52 − 48) = (100)(4) = 400 522 − 482 = 2704 − 2304 = 400 522 − 482 = (52 − 48)2 = (4)2 = 16

Use the formula for computing future value using compound interest to determine the value of an account at the end of 6 years if a principal amount of $6,000 is deposited in an account at an annual interest rate of 6% and the interest is compounded quarterly.