Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x
Answers
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two is,
Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1
The equation of the line can be written as,
y = -1x + C
substitute any one of the point in the equation,
0 = -1(5) + C
0 = -5 + C
C = 5
Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ1
Related Questions
i need your help and to try this out so can you please answer dis
-2(x+6)
Answers
Answer:
12x - 12
Step-by-step explanation:
-2(x + 6)
open the parenthesis
-2 * x + -2 * 6
-2x - 12
-2x - 12
What is the remainder of 2x3 − 7x2 + 5x − 1 divided by (x − 3)?
−211
5
−133
2
Answers
By the remainder theorem, the remainder upon dividing p(x) = 2x³ - 7x² + 5x - 1 by x - 3 is p(3),
p(3) = 2(3)³ - 7(3)² + 5(3) - 1 = 5
What is the value of x in the figure below? asap :(
Answers
Answer:
22.5
Step-by-step explanation:
Step 1:
8x - 50° = 6x - 5° Vertical ∠'s
Step 2:
8x = 6x + 45° Add 50° on both sides
Step 3:
2x = 45° Subtrat 6x on both sides
Step 4:
x = 45° ÷ 2 Divide
Answer:
x = 22.5
Hope This Helps :)
Can someone help me figure out what are the two checkpoints?
Answers
Answer:
13,000 ft.
Step-by-step explanation:
X -------10960----------C---------------D---------------Y
The entire race (from X to Y) is 7 miles. There are 5,280 ft. in one mile, so 7 miles is 36960 ft.
If we subtract 10,960 from 36,960, then we get the distance from C to Y.
36960-10960 = 26000
They tell you D is at the midpoint between C and Y
So if we divide 26,000 by 2, then we know the distance from C to D and from D to Y.
26000/2 = 13000
The checkpoints are C and D, so the distance between them is 13,000 ft.
Have a nice day :)
The crew on a fishing boat caught four fish that weighed a total of 1,080 pounds. The
tarpon weighed twice as much as the amberjack
and the white marlin weighed twice
as much as the tarpon. The weight of the tuna was 5 times the weight of the
amberjack
How much did each fish weigh?
The amberjack weighed
pounds.
The tarpon weighed
pounds.
The marlin weighed
pounds.
The tuna weighed
pounds.
Kk
Answers
Answer:
Step-by-step explanation:
First, We highlight key details. Here we can use the information 1,080 pounds, tarpon weighed twice as much as the amberjack, the white marling weighed twice as much as the tarpon, and the tuna weighed 5 times the weight of the amber jack. And....I'm lost. Do you think you could help me figure it out by finding the first one? if you do that would be great, and I'll be sure to update my question. Thank you! ^^)
Molecules of a toxic chemical eventually decompose into inert substances. Suppose the decomposition time is exponentially distributed with a mean of 1/lambda. The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic. Find the half-life for chemicals whose molecules have an average decomposition time of
Answers
Answer:
a)4.15 years
b)22.18 years
c)188.53 years
d)3027.66 years
Step-by-step explanation:
Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]
So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]
[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]
We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5
So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]
Taking natural log both sides
[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]
a)
[tex]\lambda =6[/tex]
t=-(6) ln(0.5)=4.15 years
b)
[tex]\lambda =32[/tex]
t=-(32) ln(0.5)=22.18 years
c)
[tex]\lambda =272[/tex]
t=-(272) ln(0.5)=188.53 years
d)
[tex]\lambda =4368[/tex]
t=-(4368) ln(0.5)=3027.66 years
PLEASE help it's due like right now
Answers
Answer:
B (6,7)
Step-by-step explanation:
point x has moved 2 places left, so you move z to places left
Dylan makes $336 for 32 hours of work, and Angela makes $420 for 42 hours of work.
1] How much do Dylan and Angela each make per hour?
2] Is Dylan’s wage for 25 hours proportional to Amber’s wage for 42 hours? Why or why not?
Answers
Answer:
Step-by-step explanation:
1 . Dylan : $336/32 hrs = 10.50/ hr Angela : $420/42hrs = $ 10.00/hr
2. No because $ 10.50x25 262.50 where ambers is 15 420 there unit rate is different.
Angela $17.5 per hour
no its not proportional because half of 50 is 25 so therefore 42 would not be prportional to 25
whats 6 x 3 + 36 help meeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
54
Step-by-step explanation:
Explain how you can determine that the following
system has one unique solution – without actually
solving the system.
2x+y = 4
2y = 6- 2x
Answers
you would put them in slope-intercept form (y=mx+b)
so
2x + y = 4 would become
y = -2x + 4
and
2y = 6 - 2x becomes
y = -x +3
graph them and see where they cross. hope this helps!!
I will give the BRAINIEST!!! Please help!!
The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y = 2/5x-1
a. y= -5/2x -4
b. y= -2/5x-4
c. y=5/2x-4
d. y=2/5x-4
Answers
Answer:
a. y= -5/2x -4
Step-by-step explanation:
An equation that is perpendicular to another equation must have the opposite slope. In other words, the perpendicular equation will be the opposite sign & the reciprocal of the equation it is perpendicular to. In this case, the perpendicular slope is -5/2x. Therefore, the only answer possible is a.
There are 16 squares and 20 triangles. What is the simplest ratio of squares to total shapes?
Answers
Answer:
1:6
Step-by-step explanation:
There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.
Hope this helps!
There is a total of 16 squares, then the ratio of squares to total shapes is 4:9.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given information provided by the question is,
Total number of squares = 16
Total number of shapes = 16 + 20 = 36
Ratio between squares and total shapes,
= 16 : 36
= 4 : 9.
To know more about arithmetic operation:
https://brainly.com/question/13585407
#SPJ2
What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16
Answers
Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
what is the least common denominator of 4/5 and 3/10?plssreal quick
Answers
Answer:
5
Step-by-step explanation:
what is the value of x in the equation 2/3(6x-9)=2(x+12)
Answers
Answer:
x=15
Step-by-step explanation:
hope this helps
A taxi driver charges a fee if $4 plus 1.50 per mile. If you total was $13 how manu miles did you take
Answers
Answer:
6
Step-by-step explanation:
you need to do this (13-4)/1.50
9. A candle has an initial height of12 inches. Sara lights the candle and it begins to melt at an average rate of 0.5
inch per hour. Which function can be used to find the height of the candle inches after x hours?
A) H(X) = 0.5(x +12) B) H(x) = -0.5(x +12) C)H(x) = 12 +0.5x
+
D) H(X) = 12 -0.5x
1 Pt
А.
B
D
E
Answers
Answer:
D
Step-by-step explanation:
h(x)=12-0.5x
x=hour
I need help really quickly with this one!
Answers
Answer: A (y = 1)
Step-by-step explanation:
when dividing, dividing by 0 equals an undefined fraction, therefore, if y was equal to 1, it would cancel out the y - 1, making it 0. I hope that's right :0
over a two hour time period a snail moved 50 inches. how far is this in yards
Answers
Answer:
1.38889
Step-by-step explanation:
Answer:
your answer is 1.3889 plz mark brainlist thank you
Which expression is equivalent to the given expression after using the distributive property? 9(x + 3) + 15x
9 · x + 9 · 3 + 9 · 15x
9(x + 3 + 15)x
9 · x + 3 + 15x
9 · x + 9 · 3 + 15x
Answers
Answer:
9 • x + 9 • 3 + 15x
Step-by-step explanation:
You have to divide 9 by each term inside the parenthesis. 15x isnt multiplied or added to anything else so it stays the same.
Need help with this problem and a step by step explanation
Answers
(i can’t explain and if i did it would be confusing)
but here’s this:
the lower the number, the more to the right
12(8 – 5) idk to anwsher plz hefp
Answers
Answer:
36
Step-by-step explanation:
12(8-5)
12 * 3
36
Answer:
36
Step-by-step explanation:
(8-5) =3 then u do
12x3=36
Need answers ASAP
I will give brainliest to first who responds
Answers
Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions.
Which is a reason that organic farming is more expensive than conventional farming?
How many years must a farm be run organically before its produce can be labeled as “organic”?
What is a benefit of crop rotation?
Answers
Answer:
Which is a reason that organic farming is more expensive than conventional farming?
Organic farmers must pay for a costly certification process
How many years must a farm be run organically before its produce can be labeled as “organic”?
3
What is a benefit of crop rotation?
Rotating crops can help build healthy soil.
Step-by-step explanation: Hope you pass! :)))
first one is C second one is 3 third one is A
hope i helped
Find m
a. 90
b. 31
c. 59
Answers
Answer:
i think its B
sorry if its wrong im not really sure by my answer
Gloria deposited $500 into a bank account that earned 7.5% simple interest each year. She earned $225 in interest before closing the account.
No money was deposited into or withdrawn from the account.
How many years was the money in the account?
Round your answer to the nearest whole year.
Answers
Answer:
6
Step-by-step explanation:
7.5 % × 500 = 37.5
37.5 × 6 = 225
Answer:
6
Step-by-step explanation:
What is the range of the function f(x) = 2x+3
Answers
Answer: (-∞,∞)
Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.
(Simplify the equation) 3n+5+2n=5+n+6n-n
Answers
Answer:
n=0
Step-by-step explanation:
3n+5+2n=5+n+6n-n
move like terms together
3n+2n+5=5+n+6n-n
simplify down
5n+5=5+6n
subtract 5n from each side
5=5+n
subtract 5 from each side
0=n
Mary has a bag with 80 pieces of candy. She gives ¼ of her candy to John and 10% to Lisa. How much more candy did she give to John then Lisa?
Answers
Answer:
12 pieces
Step-by-step explanation:
80 pieces of candy
1/4 is 25% or 20 pieces of candy
10% would be 8 pieces of candy
subtract the two. Your answer is 12
Answer:
He had 14 more pieces
Step-by-step explanation:
So 80/4 is 20 pieces. So we know John has 20. Now she has 60 left since 80-20 is 60. Now 10 percent of 60 would be 6 pieces. We can subtract 6 from 20 to find out how many more pieces John had. 20-6 is 14. So John had 14 more than Lisa
the ordered pair (x,y)=(2,-3) is a solution to which of the following systems of equation
Answers
Answer:
Y=2x-7
Step-by-step explanation: