A well is to be dug at the location in the diagram. Use the diagram for the parts.
The equation that represents the road is y= ______
Answers
Answer:
[tex] y = \frac{1}{6}x - 5 [/tex]
Step-by-step explanation:
The equation that represents the road can be written as [tex] y = mx + b [/tex]
Find, m = slope, and b = y-intercept of the line.
Using two points on the line, (-6, -6) and (6, -4), find the slope:
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} [/tex]
Substitute x = -6, y = -6, and m = ⅙ into [tex] y = mx + b [/tex] to find b.
[tex] -6 = \frac{1}{6}(-6) + b [/tex]
[tex] -6 = -1 + b [/tex]
Add 1 to both sides
[tex] -6 + 1 = b [/tex]
[tex] -5 = b [/tex]
Substitute m = ⅙, and b = -5 into [tex] y = mx + b [/tex].
✅The equation that represents the road would be:
[tex] y = \frac{1}{6}x + (-5) [/tex]
[tex] y = \frac{1}{6}x - 5 [/tex]
Related Questions
What is the slope of the line that passes through the points (-8, 3) and (-8, 5)?
Answers
Answer:
The slope is undefined
Step-by-step explanation:
Slope (m) = infinity (undefined)
θ = π = 90°
2
distance (d) = 2
ΔX = 0
ΔY = 2
.
Choose the correct answer to 318 x 6.
1,808
1,906
1,918
1,908
Answers
Answer:
1,908
Step-by-step explanation:
I need help with this equation
Answers
Step-by-step explanation:
whats the equation lol
Answer:
What equation......
Step-by-step explanation:
IDG
Ali opened a saving account with 500$. After 2 years the total interest he earned was 10$. What was the annual interest rate?
Answers
Answer:
1 percent
Step-by-step explanation:
1 percent of 500 is 5 5 times 2 is 10
7.) A company sells cases of candy. The revenue generated by selling x cases is described by the
function R(x) = 60x. The cost to produce the cases is described by the function C(x)
= 35x + 200. The company's profit for selling the cases of candy is the difference between the
revenue and the cost amounts. Which function describes P, the profit function?
A. P(x) = 95x + 200
B. P(x) = 25x + 200
C. P(x) = 25x - 200
D. P(x) = 95x - 200
Answers
Answer:
D
Step-by-step explanation:
Find the airthmetic mean of prime numbers between 20 and 50
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Prime numbers between 20 and 50 are :
[tex]23 \: , \: 29 \: , \: 31 \: , \: 37 \: , \: 41 \: , \: 43 \: , \: 47[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Arithmetic mean is :
[tex] \frac{23 + 29 + 31 + 37 + 41 + 43 + 47}{7} = \frac{251}{7} = 35.857 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
23 , 29 , 31 , 37 , 41 , 43 , 47
Which of the following equations represents a line that passes through the points (−6,0) and (2,−4)
Answers
Answer: only 2 (y = -1/2x - 3)
Step-by-step explanation: so first find the gradient by doing y minus x and dividing
-4-0/2--6 which equals -1/2 so you know that -1/2 is your gradient. 2 is the only one with a gradient of -1/2x.
Hope this made sense. If not I'll explain again
Y=7e^6x -5x^3 + 30 find Y
Answers
Answer:
reorder 7e^6x and -5x^3
y=-5x^3 +7e^6x +3e
Step-by-step explanation:
Now thats if its 7e to the power of 6x
Help me please!?!?!?!?????
Answers
Answer:
1
Step-by-step explanation:
Joe goes to the store to buy milk that cost x + $3, bread that cost x + $2.25, and 3 bags of potato chips that cost x + $1.50 each. Write an equivalent expression to represent what he spent.
Answers
Given:
Milk cost = x + $3,
Bread cost = x + $2.25,
3 bags of potato chips cost = x + $1.50 each.
To find:
The equivalent expression to represent what he spent.
Solution:
1 bag of potato chips cost = x + $1.50
3 bag of potato chips cost = 3(x + $1.50).
Total cost = Milk cost + Bread cost + Cost of 3 bags of potato chips
[tex]\text{Total cost}=(x+\$3)+(x+\$2.25)+3(x+\$1.50)[/tex]
[tex]\text{Total cost}=x+\$3+x+\$2.25+3x+\$4.50[/tex]
[tex]\text{Total cost}=(x+x+3x)+\$(3+2.25+4.50)[/tex]
[tex]\text{Total cost}=5x+\$9.75[/tex]
Therefore, the required expression is 5x+$9.75.
x-2y = 3
2x + y = 11
What is the value of x
Answers
Answer:
x=5 y=1
Step-by-step explanation:
Like x^2-4x+3=0 or sin(x)=1.
short answer is that x equals 1.
5 into 3 by 8 + 3 into 2 by 5
Answers
Answer:
30
5 X 3 ÷ 8 + 3 X 2/5
= 15/11 X 2/5
(Take LCM of 5 and 11. LCM - 55)
15 X 5. 75
_____ =. ___
11 X 5. 55
2 X 11. 22
_____ =. ___
5 X 11 55
75 X 25. 1650
______ = ______
55. 55
= 30
what is the solution to the inequality? 2 3/5
Answers
Answer: c b< 3 2/15
please I really need an answer to this.
Answers
Answer:
It should be 0.88
Let me know if I'm wrong!
Answer:
I believe as a rounded decimal it is 1.33
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
92 degrees
Step-by-step explanation:
<HEF and <AED are vertical angles.
y=-2(×-3)(x-2) to standard form
(show work)
Answers
Answer:
y=-2x^2+10x-12
Step-by-step explanation:
graph is shown in image below
Help me with this please
Answers
8x+y
Explanation:
3x+4y+5x-3y
Rearrange the terms so like terms are next to each other
3x+5x+4y-3y
Combine like terms
8x+y
I hope this helps!
If there are 13 motorcycles and cars , there's 28 wheels how many cars and motorcycles are there
Answers
Answer:
exact form:[tex]\frac{13}{28}[/tex]
Decimal form:0.4642857143
Step-by-step explanation:
Find the cost of kg of apples and the cost of an orange using simultaneous equations method:
Answers
cost of an orange = £0.12
hi, the solution is in the pic below. sorry for the messy working!
How can we use variables and equations to help us
solve problems?
Answers
Answer:
Variables help show the numbers and equation show the numbers
Step-by-step explanation:
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Step-by-step explanation:
Hope this helps.. ;)
A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is 96 square feet, what is the length in feet of the path?
Answers
Answer:
24 feet
Step-by-step explanation:
Given that:
The length of the rectangle is 6 times the side of a cement square.
Now, this rectangle is formed from 6 squares;
The total area of the path of this square = 96 square feet;
The area of each square now = 96/6 = 16 square feet
Recall that:
Area of a square = S²
where S is the side length
16 = S²
S = [tex]\sqrt{16}[/tex]
S = 4 ft
The length of the path in feet now is: L × w
= 6 × 4
= 24 feet.
standard form of 4 + 3y - 2x = 0
Answers
Answer: 2x-3y=4
Hope this helps!! :)
a treat for all my hard workers!
Answers
Answer:
thx
for the points
Step-by-step explanation:
Answers: Ice cream party, What ever you want day,Part of the day Pizza
What is the equation of the line that passes through the point (5,6) and has a slope of 2?
PLZ HELP AND EXPLAIN HOW YOU SOLVE!!! THANK YOU AND HAVE A GREAT DAY!!
Answers
Answer:
Answer is at the bottom!!
Step-by-step explanation:
y = - \frac{2}{5} x - 2
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 2x + 5y = 10 into this form
subtract 2x from both sides
5y = - 2x + 10 ( divide all terms by 5 )
y = - \frac{2}{5} x + 2 ← point- slope form with slope m = - \frac{2}{5}
Parallel lines have equal slopes hence
y = - \frac{2}{5} x + c is the partial equation of the parallel line
to find c, substitute ( 5, - 4 ) into the partial equation
- 4 = - 2 + c ⇒ c = - 4 + 2 = - 2
y = - \frac{2}{5} x - 2 ← equation of parallel line
Hope this helps!!
9. Three minutes after a hot tub starts to fill, the tub contains 24
gallons of water. After 5 minutes the tub contains 40 gallons of water.
The relationship between the number the number of gallons in the hot
tub and the time in minutes is a proportional linear relationship.
Determine the number of gallons of water the tub increases per minute.
Answers
Answer:
8 gallons per minute
Step-by-step explanation:
24 gallons in 3 minutes
you divide 24 by 3 which is 8
40 gallons in 5 minutes
you divide 40 by 5 which is 8
the relationship is that in both the answer was 8 as in 8 gallons per minute
Do 24(0x+0.33333333)=3x+17 have a solution
Answers
Answer:
x≈-3
Step-by-step explanation:
Go and ask the person who gave u the brain
8 increased by the sum of t and 3
Answers
Answer:
8+(t+3)
Step-by-step explanation:
the sum is when you add two numbers together. so you would add t with 3 and out it in parentheses so you make sure that happens first. then you add it to 8 since 8 is being increased by the sum.
Which value of x makes the inequality true?
A. 1.6
B. √4
C. 0.09
D. 1/5
Answers
The answer is A.
AKA 1.6
7k - 12 when k=4
( 1/2) X+2y-6 for x=6 & y=5
please help lol im failing
Answers
Answer:
Take deep breaths and solve the problem.
Step-by-step explanation:
What is 10x10, please help xd
Answers
Answer:
100 lol
Step-by-step explanation:
ty for the points! <3
Answer:
100
Step-by-step explanation: