Answers
Answer:
Parallel line - y=6x+9
Perpendicular line - y=-1/6x +4
Step-by-step explanation:
Parallel lines have a slope that is equal to the origninal equation. You use the y-y1=m(x-x1) equation. In this case, your y1 is 3 and your x1 is -1. Plug these into the equation along with your slope of 6.
y-y1=m(x-x1)
y-3=6(x-(-1))
y-3=6(x+1)
y-3=6x+6 - Distribute
+3 +3 - Add 3 to both sides
y=6x+9
For perpendicular lines, the slope is the negative reciprocal of the given slope. In this case, the slope is -1/6. Your y1 is 4 and your x1 is 0.
y-y1=m(x-x1)
[tex]y - 4 = - \frac{1}{6} (x - 0)[/tex]
Distribute:
[tex]y - 4 = - \frac{1}{6} x[/tex]
+4 +4
Add 4 to both sides:
[tex]y = - \frac{1}{6} x + 4[/tex]
Related Questions
There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.
Answers
Given that,
The three numbers are consecutive
The three numbers are
x
x + 1
x + 2
Also,
x × (x + 1) = (x + 2) + 7
x² + x = x + 9
x² + x - x = 9
x² = 9
x = √9
x = 3
The three numbers
x = 3
x + 1 = 4
x + 2 = 5
The sum of the three numbers
3 + 4 + 5 = 12
Pls we only need part B to pass this subject
Answers
Answer: Weird
Step-by-step explanation: Maybe calculate all the numbers I guess.
(Pretend my powers are smaller)
9 -4 = 1/6561
9 -2 = 1/81
1/6561 • 1/81 = 9 -6
This is my best work.
I need help!!!!! Jdjshekosixjsjjejfixis
Answers
The cat = 1/4
The pumpkin = 1
The zombie hand = 1/3
Brainliest? :)
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
Answers
Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport
3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports
How many students said they didn't like any sports
0 75
O 20
O 55
O 5
Answers
Answer:
5
Step-by-step explanation:
Add 1/5 + 3/4. Answer: 19/20 likes sports.
if its total was $490 for the week, what was its average daily change?
Answers
Answer:
$70/day
Step-by-step explanation:
7 days = 490
1 day = X
Cross multiply
7X = 490
Divide both sides by 7
X=70
Please help I need to finish this
Answers
In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.
Answers
Answer:
x = 14
m∠A = 38°
m∠C = 71°
m∠D = 71°
Step-by-step explanation:
By the property of a triangle,
"Sum of interior angles of a triangle is 180°"
m∠A + m∠C + m∠D = 180°
By substituting the values of the angles given in the question,
(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°
(3x + 5x + 7x) + (-4 + 1 - 27) = 180
15x - 30 = 180
15x = 210
x = 14
Therefore, m∠A = 3x - 4
= 3(14) - 4
= 38°
m∠C = 5x + 1
= 5(14) + 1
= 71°
m∠D = 7x - 27
= 7(14) - 27
= 98 - 27
= 71°
Donna's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $50 a day for food and lodging and $0.60 for each mile traveled. Donna drove 200 miles and was reimbursed $1,620. Part A: Create an equation that will determine the number of days on the trip. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many days did Donna spend on this trip? (1 point)
Answers
Answer:
See below
Step-by-step explanation:
Part ALet number of days be d, then the equation is:
50d + 200*0.6 = 1620Part BSolution of the equation
50d + 120 = 162050d + 120 - 120 = 1620 - 120 ⇒ subtraction property of equality50d = 150050d / 50 = 1500/50 ⇒ division property of equalityd = 30Part C30 days as aboveDonna purchases 10 tickets to a state fair.
• She purchases 4 adult tickets for $48.
• The remaining tickets are child tickets, for which she pays a total of $42.
What is the ratio of the price of one adult ticket to the price of one child ticket?
A.
2 to 3
B.
4 to 3
C.
8 to 7
D.
12 to 7
Answers
12 to 7
Step-by-step explanation:
The ratio of the price of one adult ticket to the price of one child ticket is 12 to 7. The correct option is D.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Donna purchases 10 tickets to a state fair.
• She purchases 4 adult tickets for $48.
One ticket is 48/4 = 12
• The remaining tickets are child tickets, for which she pays a total of $42.
One ticket is 42/6 = 7
To find the ratio:
one adult ticket / one child ticket
= 12 / 7
or, 12 to 7.
Therefore, 12 to 7 is the required ratio.
To learn more about the ratio;
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20 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answers
Answer:
-5.7
Step-by-step explanation:
Answer:
-5.4 LOL
Step-by-step explanation:
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *
Answers
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
Question...Sleep is known to affect student grades. Kirsten is conducting a study in a local high school using two treatments on two groups of students. One group will nap one hour in an eight-hour school day and another will nap 30 minutes in an eight-hour school day. What group would be the best control for the study?
Options...
A third group that takes a one-hour nap or a 30-minute nap randomly each day
A third group that shortens the school day to six hours
A third group in which no naps occur
A third group that splits the day with a 30-minute nap in the morning and a 30-minute nap in the afternoon
A third group in which each student chooses either a 30-minute nap or a one-hour nap
Answers
Answer:
c
Step-by-step explanation:
a third party group in which no naps occur
Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3
Answers
Given:
Kevin bought twelve 8-ounce bottles of water.
1 ounce ≈ 30 ml
To find:
The quantity of water in milliliters
Solution:
We have,
1 ounce ≈ 30 ml
8 ounce ≈ 8×30 ml
8 ounce ≈ 240 ml
It means, one 8 ounce bottle can hold about 240 milliliters of water.
Total number of bottles = 12
So, the quantity of water Kevin buy in milliliters is
[tex]12\times 240=2880[/tex]
Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.
In 1995 the town of Springdale had a population of 2,378. Over the next 20 years the town's population decreased by 12.5%. What was the population of the town in 2015?
Answers
Answer: 165
Step-by-step explanation:
Exponential equation for decay :[tex]A= P(1-r)^t[/tex] , where A is the value after t year, P = initial value.
As per given ,
P= 2378
t= 20 years
r = 12.5% = 0.125
Now ,
[tex]A=2378(1-0.125)^{20}\\\\=2378(0.875)^{20}\\\\= 2378(0.0692087587)\\\\=164.57842\approx 165[/tex]
Hence, the population of the town in 2015 = 165
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
40
77
4,096
9,317
plus brainlyest and im being timed
Answers
If you multiply all the numbers 3.5,1.9,1.6 by 11 you will get 77
Can i get brainliest?
a 10 miles per hour
b 15 miles per hour
c 30 miles per hour
d 65 miles per hour
Answers
====================================================
Explanation:
The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.
The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.
Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.
Subtract the two speeds to get 65-50 = 15 mph
the equation p = 3s represents the perimeter p of an equilateral triangle with side length s. what is the perimeter of an equilateral triangle with side length 4 km?
Answers
Answer: 12
Step-by-step explanation:
p=3s
s=4
p=3(4)
P=12
A line passes through the point (4, -6) and has a slope of -3/4. Which is the equation of the line
Answers
Answer:
A: y=-3/4x -3
Step-by-step explanation:
SLOPE AND PARALLELISM
COMMON CORE GEOMETRY PRACTICE
MEASUREMENT AND CONSTRUCTION
1. Graphically determine the slopes of the line segments that create shown below. Write your final
slopes in simplest form.
(a) AD
(b) CD
(c) AC
Answers
Hope this help!
Simplified or expanded version of 8(4x-12)
Answers
Answer: 32x - 96
Step-by-step explanation: If I’m not wrong, that’s the answer. You distribute the 8 to each of the numbers, so you multiply. 8 multiplied by 4x would be 32x. 8 multiplied by 12 is 96. You then put the subtraction sign in. You could also think of it as 8 times -12. That’ll still get you -96. It would be 32 and the negative 96, so it seems like the negative is the subtraction sign. I suck at explaining, but I hope thing helps
e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form
Answers
to work this out you need to solve for your y-intercept. by using what you have.
once you do so you get the answer y=1/2x+3
What is the equation of the line in slope-intercept form
Answers
Answer:
y=1/3x+45
Step-by-step explanation:
Find the area of the circle. Round your answer to the nearest hundredth.
Answers
Answer:
oh i thought i knew this sorry man
Step-by-step explanation:
Answer:
7.10
Step-by-step explanation:
Sorry if this is wrong, just a guess:)
Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary
Answers
Answer:
6.4
Step-by-step explanation:
HELP PLEASE!! I NEED TO GET THIS TURNED IN
Answers
Answer:
the 10.5
Step-by-step explanation:
it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three
what is the vertex of h(x)=3x^2+6x-2?
Answers
its -1 and -5
thank u for letting me helps u
What is the equation of a line that passes through (0, 7) and has a slope of -2?
Answers
Answer:
y = -2x + 7
Step-by-step explanation:
We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]
y = -2x + b
7 = -2(0) + b
7 = 0 + b
7 = b
Put everything we know/solved for into the original formula.
y = -2x + 7
Best of Luck!
FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11
2. Divide both sides by 4 to get c - 3 = 2
3. Use the distributive property to get 4c - 3 = 8
4. Use the distributive property to get 4c - 3 = 8
5. Subtract 4 from both sides to get c - 3 = 4
Answers
Answer
2, i can't find any other solution
Step-by-step explanation:
you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x
To solve an equation 4(c - 3) = 8 the correct ways are
1. Use the distributive property to get 4c - 12 = 8
2. 2. Divide both sides by 4 to get c - 3 = 2
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
The two ways to start solving the equation 4(c - 3) = 8 are:
Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.
This method uses the distributive property to simplify the left-hand side of the equation before solving for c.
Divide both sides by 4, and we get,
4(c - 3)/4 = 8/4
c - 3 = 2
c = 5.
Therefore, the two ways are given above.
To learn more about the equation;
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What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7? 3 9 27 63
Answers
Answer:
9
Step-by-step explanation:
i just did my test and i checked and it was right
Answer:
The answer is 9
Step-by-step explanation:
Just did the test and I got 100%