Lines m and n are drawn in the coordinate plane. The equation of line m is y=-3x+8 and line n goes through point (-4,-11). When a transversal of the two lines is constructed the alternate interior angles formed by the transversal are congruent. What is the equation of line n?
Answer:
The equation of line n is;
y = -3x - 23
Step-by-step explanation:
Here, we want to find the equation of line n
For the alternate interior angles to be congruent after drawing the transversal, then both lines must be parallel
If the two lines are parallel, then their slopes are equal
To get the slope of line m, we compare the equation of line m to the standard form
The equation of line m is y = -3x + 8
if we compare this with the standard form which is y = mx + c
Then the slope of line m is -3 and since they are parallel lines, the slope of line n is -3 too
So now, we need to get the equation of line n
It passes through (-4,-11)
What we have already is;
y = -3x + c
we need to get the y-intercept to write the complete equation
To get the y-intercept we simply substitute for (-4,-11)
Thus, we have
-11 = -3(-4) + c
-11 = 12 + c
c = -11-12 = -23
The equation of line n is;
y = -3x - 23
Two years ago, a car was valued at $24,000. This year, the value of the car is $23,160. What was the percent decrease in the value of the car?
Enter the correct answer in the box.
Answer:
3.5%
Step-by-step explanation:
The value of the car decreased by 3.5%. Hope it helps!
How can you use the distributive property to rewrite a quadratic expression in order to reveal its factors and zeros
Answer:
(x-rooot1)(x-root2)
Step-by-step explanation:
a quadratic ax²+bx+c=0 can be factor as those 2 pharanthesis
(x-rooot1) (x-root2)=0
and you can find the roots by making each parenthesis equal to 0 because of the zero product rule
x-root1 = 0, x=root1
x-root2 =0, x=root2
PLEASE HELP
Write an equation in standard form of the line that passes through the given point
and has the given slope.
1. (2,-4); m= 2/3
2. (5, -3); m - 2
3. (6,0); m= 3/4
4. (-1, 2); m - 7
5. (-3,-5), m=13
6. (4,0); m - -5
Answer:
the answers are all in the picture
Step-by-step explanation:
Lmk if you need more explaining :)
One tree can produce 175 avocados. The avocados are packed in boxes of 24. How many boxes are needed?
Answer:
8 boxes
Step-by-step explanation:
Divide 175 by 24 since you have 175 avocados and 24 can be put in each box. This gives you 7.29166666667. You have to round up to get 8.
Answer:
8 boxes would be needed
Step-by-step explanation:
175/24 = 7 with a remainder of 7 and you cannot just leave out those 7 avocados, they will be lonely so therefor you will need another box and 7+1=8
There are 3 cubes in a bag. Two are red and one is green. Sammy randomly selected a cube, put it back and selected another cube. What is the probability of getting to reds?
Answer: 2/3
Step-by-step explanation:
Number of red cubes = 2
Number of green cubes = 1
Total cubes in the bag = 3
The question relates to a probability with replacement. The probability of getting two reds will be the probability of picking red the first time multiplied by the probability of picking red the second time. This will be:
= 2/3 × 2/3
= 2/3
CAN U GUYS HELP ME WITH THIS?!! 11 POINTS AND BRAINLY PLEASEEEE!!!????
Answer: X=-6
Step-by-step explanation:
Answer:
B. -6
Step-by-step explanation:
well this my account now I store it from my sister cuz why not and that is my sister yay
Answer: cool beans
Step-by-step explanation:
Answer:
nice
Step-by-step explanation:
It takes Ryan 1 5 of an hour to bike from home to school. His biking speed is 10 mph.
How far apart are his school and his house?
Answer:
2
Step-by-step explanation:
1/5*10
How much refund is due? Tax withheld $3578 and Tax due $2365.
A)$3,013
B)$1,213
C)$2,426
D)$5,943
Answer:
The answer is B) $1,213
Step-by-step explanation:
Just subtract $3578 and $2365 to get the amount of refund due, which would be your answer of $1,213.
You and a friend are paid $38.25 for doing yard work.
You worked 2.5 hours and your friend worked 2 hours.
You split the money according to the amount of time
each of you worked.
How much money did you make in an hour?
(-11,9), (5,0)
Find the slope of the line through each pair of points
Answer:
slope = -9/16
Answer:
-9/16
Step-by-step explanation:
I attached a picture of what to do
I could really use your help:)
Answer:
Question 1: -3 and 6 in that order
Question 3: 3 and y=1/2x+3 in that order
Question 2: 2 and y=2x+4 in that order
Step-by-step explanation:
:)
Fernando is starting a new sales job and needs to decide between two different salary plans. For Plan A, he will earn $100/week plus 15% commission on all sales. For Plan B, he will earn $150/week plus 10% commission on all sales. For what amount of weekly sales are the two plans equal?
Answer:
At 10 weeks
Step-by-step explanation:
100+15x=150+10x
15x=50+10x
5x=50 divided both sides by 5 and x=10
Write an inequality to equal y < -5
Answer:
2y - 3 < -13
Hope this helps
Solve the equation for y , (REDUCE IF POSSIBLE, AND WRITE YOUR ANSWER IN THIS FORM; y=mx+b).
−6x+y=18
Answer:
y=6x+18
Step-by-step explanation:
add the -6x to the other side to get y alone
Answer:
-6x + y = 18 reduced is -2x + y = 2
Step-by-step explanation:
it is called the Hamber Pickering Formula according to STUIPDPEDIA LOL!
FREE BRAINLIEST ! Find the slope of the line that passes through:
(-3, -4) and (7, 6)
Answer:
10/10 =1 / 1 =1
m = ^^
Step-by-step explanation:
Alexa has $60 already saved and her sister Susan has $120 already saved. Alexa is saving $7 per week and her sister is saving $5 per week. How long will it be before Alexa and her sister have the same amount of money? Write an equation and solve.
Step 1: Define your variable
Step 2: Write an equation.
Step 3: Solve your equation.
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
Plz help mee
Step 1:
The variable is the number of weeks needed to equalize Alexa and her sisters savings.
Step 2:
7x + 60 = 5x + 120
Step 3:
7x+60=5x+120
Subtract 60 from both sides.
7x+(60-60)=5x+(120-60)
7x=5x+60
Subtract 5x from both sides
7x-5x=5x+60-5x
2x=60
Divide both sides by 2.
2x/2 = 60/2
x=30
Step 4:
7(30) + 60 = 5(30)+ 120
210+60=150+120
270 = 270
Step 5:
To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.
(tbh got stuck on this one)
In a survey of 2,200 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
*blank*% of the people surveyed were satisfied with the car.
40%, of the people surveyed, were satisfied with the car.
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
The information that is provided is
The total number of people who are present is 2200
The number of people who are ready to buy that certain type of car is 880
The percentage of people who will be happy to buy that type or model of car is
= (880 / 2200) * 100
= 0.4 * 100
= 40%
Therfore the answer will be 40%.
Learn more about percentage, Here:
https://brainly.com/question/29306119
#SPJ2
1 1/9 x 3 5/10
Please educate me this basic knowledge because I’m so stupif
Fill out the following data table using the equation y=3x-5
Peter is painting his bedroom. His bedroom has four walls. Yesterday, he painted 1 2/5 walls. What fraction of the walls is left to paint?
Answer: 2 3/5ths are left or 13/5
Step-by-step explanation: 1 2/5 + 2 3/5 = 4 total walls
Round 25.395 to the nearest hundredths.
Answer:
25.40
Step-by-step explanation:
Answer:
25.40
Step-by-step explanation:
5 rounds up but 9 rounds up to ten so you add one to the tenths
A cleaning mixture requires 5 cups of water for every 2 cups of solution which ratio of cups of water to cups of solution will make the same cleaning mixture?
a. 15:6
b. 8 :20
c. 60;18
d. 20:14
Answer:
a.15.6
Step-by-step explanation:
simplify all the ratios to their simplest forms.
15/3:6/3
5:2
PLEASE HELP ASAP GIVING 15 POINTS AND MARKING BRAINLIEST THE FIRST PHOTO IS THE GRAPH THE SECOND IS THE ANSWER CHOICES PLEASE HELP!!!
I would appreciate any help
If amna bought 1/3 pounds of sausages on Sunday and 2/5 of Turkey on Monday. How much more Turkey did she buy ?
Answer:
1/15
Step-by-step explanation:
1/3=5/15
2/5=6/15
6/15-5/15=1/15
PLEASE GIVE BRAINLIEST
Answer:
Amna bought 1/15 pounds of turkey more on Monday than she bought on Sunday.
Step-by-step explanation:
Turkey bought on Sunday = 1/3 pounds
Turkey bought on Monday = 2/5 pounds
2/5 - 1/3
= 6/15 - 5/15
= 1/15
7th grade math
please help, I will give brainliest
-19 = -2/3 x
find the value of x
Answer:
-19=-2/3x
3*-19=-2x
-57=-2x
-57/-2=x
57/2=x
x=28.5
Step-by-step explanation:
Answer:
x = [tex]\frac{57}{2}[/tex]
Step-by-step explanation:
Given
- 19 = - [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
- 57 = - 2x ( divide both sides by - 2 )
[tex]\frac{-57}{-2}[/tex] = x , that is
x = [tex]\frac{57}{2}[/tex]
PLLLLSSS HELLPP
Use the substitution method to solve the system of equations.
8x + 5y = 9
y = x + 7
Answer:
point form: (-2,5)
Step-by-step explanation:
8x + 5y = 9
y = x + 7
sub. y into the first one
8x + 5(x + 7) = 9
8x + 5x + 35 = 9
13x + 35 = 9
solve for x
13x = -26
x = -2
solve for y
y = x + 7
y = -2 + 7
y = 5
Answer: I believe the answer would be (-2, 5) Hope this helped!
I really need help on all of them, I will give out brainliest to one answer and ten points to both
Answer:
1. 1/2, 2. 2, 3. 1/-3, 4. -2
Step-by-step explanation:
1) I know that the equation for slope is y2-y1/x2-x1. For number one I first found two points of the graph which is (0,3) and (2,4) (not sure if I see it correctly, its kind of blurry). I decided that (0,3) would be my y1 and x1 and (2,4) will be my y2 and x2. I later plugged the number in the equation and got 4-3/2-0 which the answer turns out to be 1/2.
2) For the rest of the questions it is kinda the same business as question 1. For question two I chose two points out of the table which wrer (-1, -12) and (1,-8) and plugged them into the equation and got -8-(-12)/1-(-1) which the answer turns out to be 2.
3) similar to question 2. The two points(2,-6) and (-4,-3) are given to you. so I plugged them in again and got -3-(-6)/-4-2 which the answer turns out to be 3/-6 into 1/-3.
4) Same with question 1 find two points of the graph. I chose (0,3) and (1,1) (again might not be accurate it's kind of blurry) I plugged them into the equation again and got 1-3/1-0 which equals -2.
Just always remember y2-y1/x2-x1=m is the equation for slope.
(m is the variable for slope)
Hoped this helped you : )