Linear equation is the equation of a straight line. A linear equation in standard form is: [tex]ax + by = c[/tex]
The equation of JK in standard form is: [tex]7x + 2y = 1[/tex]
Given that:
[tex](x_1,y_1) = (-3,11)[/tex] --- point J
[tex](x_2,y_2) = (1,-3)[/tex] --- point K
First, we calculate the slope (m) of JK using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{-3-11}{1--3}[/tex]
[tex]m = \frac{-14}{4}[/tex]
[tex]m = \frac{-7}{2}[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{-7}{2}(x - -3) + 11[/tex]
[tex]y = \frac{-7}{2}(x +3) + 11[/tex]
Multiply through by 2
[tex]2y = -7(x +3) + 22[/tex]
Open bracket
[tex]2y = -7x -21 + 22[/tex]
[tex]2y = -7x +1[/tex]
Rewrite in standard form as
[tex]7x + 2y = 1[/tex]
Hence, the equation of JK in standard form is:
[tex]7x + 2y = 1[/tex]
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Am i right? And why?
Answer:
Yes I think your right but I can't back up my response. I mean it looks right to me.
Step-by-step explanation:
Srry. HOPE THIS HELPS!! :)
What is the value of the expression below when w=2w=2?
8w^2 +2w+8
8w
2
+2w+8
PLS HELP
Answer: 33
Step-by-step explanation:
Answer:
Step-by-step explanation:
33
PLEASE HELP Marcos needs to save $2,000 for college next year. If he has 12 months before he needs the money, how much will he need to save every month? Round to the nearest dollar.
Answer:
167
Step-by-step explanation:
2,000/12=166.66=167
Answer:
2000 divided by 12= 166.67
Step-by-step explanation:
he would need $166.67 every month so they can reach their goal.
Rotation 180° about the origin U'(0, 0), T'(-5, 0), S'(-3, 3)B) U'(0, 0), T'(0, -5), S'(-3, -3)C) T'(4, 5), S'(1, 3), U'(4, 0)D) U'(0, -5), T'(0, 0), S'(3, -2)
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but i would show how to solve it.
Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.
Rotation is a type of transformation that turns an object about a fixed point. Rotation preserves the shape and size of the image. The rotation of point X(x, y) 180° about the origin gives a new point X'(-x, -y) i.e. both the x and y coordinate is negated.
Rich earns $25 every weekend babysitting. He wants to buy a new game system that costs $499. He already has $220 saved. What is the minimum number of weekends he will need to babysit in order to have at least the $499 he needs?
ASAP I only have 10 minutes
Answer:
12 weekends
Step-by-step explanation:
Round up to $500 to make it easier, he needs $500. with $220 Saved he needs $280 more ($500-$220). $280 / $25 per weekend is 11.2 weekends needed. He would need to work 12 weekends to get to his goal
Answer:
i trieddddddddddddd
Jessica wants to order some sunglasses from Amazon. Each pair of sunglasses cost $9.00 and shipping for the entire order is $10. How many pairs of sunglasses can she get if she spend no more than $100
Answer:
10
Step-by-step explanation:
9x10=90 then add the shipping and get 100
HELP MEEEEEE!!!!!!!!!!!???????
Answer:
7
Step-by-step explanation:
Multiply 1/8 by 56.
You can put a 1 under the 56 because the56/1 and 56 are identical.
1/8 * 56/1
Multiply numerators (1 & 56) and the denominators (8 & 1)
56/8
Simplify by dividing
7
Liam had a container of oatmeal that contained 5 and one-half cups of oatmeal. Liam ate StartFraction 4 over 9 EndFraction cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 and one-half
3
3 and one-half
5
9514 1404 393
Answer:
3 1/2
Step-by-step explanation:
The amount is reduced by 4/9 cup each day for 5 days, so the amount remaining is ...
(5 1/2) - 5(4/9) = 11/2 -20/9 = (99 -40)/18 = 59/18 = 3 5/18 ≈ 3.28 . . . cups
This value is (slightly) closer to 3.5 than to 3.0.
The best estimate of the remaining amount is 3 1/2 cups.
Answer:
three
Step-by-step explanation:
Is 0.135 a rational number
Answer:
0.135 is an irrational number because the decimal is not repeating
Step-by-step explanation:
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph. What was the average speed of the car for the entire journey?
Answer: On the average, your car was moving with a speed of 25 miles per hour.
Step-by-step explanation:
Step-by-step explanation:
MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
help me plzzzzzzzzzzzzzzz
Answer:
7) √2 , π , 4.5. √2 ≈ 1.41 < π ≈ 3.14 < 4.5 = 4.5.
9) √3 , π , 7. √3 ≈ 1.73 < π ≈ 3.14 < 7 = 7.
10) -4 , 1.5, √8. -4 = -4 < 1.5 = 1.5 < √8 ≈ 2.83.
11) -5.5 , 3/2, √6. -5.5 = -5.5 < 3/2 = 1.5 < √6 ≈ 2.45.
12) 5/2 , 2.6 , 1 + √3 , √8. 5/2 = 2.5 < 2.6 = 2.6 < 1 + √3 ≈ 2.73 < √8 ≈ 2.83
12) People in order: Bryon, Justin, Rosa, Allie.
What is 3 +1 giving BRANIEST
Answer: 4
Step-by-step explanation:
1. Add 3 and 1
3+1 = 4
Your answer is 4
Answer:
I think it is 5 wait no
Step-by-step explanation:
Identify the independent and dependent variables. Then write a rule in function notation for the situation, letting x represent the independent variable.
A concert ticket costs $60.
Answer:
independent: number of tickets purchased;
dependent: total cost;
rule: f(x) = 60x
Step-by-step explanation:
The independent variable is the input of a function (the variable whose value determines the value of the output, or dependent variable). In this case, the independent variable is the number of tickets purchased.
The dependent variable is the output of a function (the variable whose value depends on the value of the input, or independent variable). In this case, the dependent variable is the total cost of all tickets purchased.
The total cost of all tickets purchased is equal to $60 times the number of tickets x. Therefore, a function rule for the total cost of all tickets purchased is f(x) = 60x.
A tutoring job pays $222 for ten hours of work. If a tutor were to work for a total of thirty-five hours that week, how much will they make?
Answer:
$777
Step-by-step explanation:
35/10= 3.5
3.5x222= $777
What is the slope of the line that passes through the points (9,4) and( (9,-5) write your answer in simplest form
Answer:
undefinded
Step-by-step explanation:
The product of n and 5 is equal to 48
Answer:
9.6
Step-by-step explanation:
48/5 is 9.6 therefore n=9.6
Pls help me I’m stuck
Answer:
Step-by-step explanation: your picture is not there
Ronald brother told Mj to get the app BRAINLY It helps you with anything But Mj do not have nothing to use Mj ask his mom if she would by him a phone she said yes the phone cost $230 dollars but it didn't come with a charger so they bought a charger it cost $15 dollars how much does the charger cost
Answer:
If you mean in total if all of it then 245
PLS HELP! I WILL REWARD AND GOVE PUT BRAINLIEST!!
The choices for, “Which operation must be performed to isolate the variable?” Are
A. Add 7.6
B. Add 18.2
C. Subtract 7.6
D. Multiply 7.6
The choices for, “the solution to the equation is” are
A. X=7.6
B. X=10.6
C. X=18.2
D. X=25.8
Answer:
Add 7.6
D. x=25.8
Step-by-step explanation:
Answer:
Add 7.6
D. x=25.8
Step-by-step explanation:
PLEASE HELP!! i will mark as brainliest
Answer:
13
Step-by-step explanation:
I just added the numbers together.
5+-5 is 0 because they are the same numbers but with opposite signs.
Next 12+-2 is 10 because it is like 12-2.
Next adding the last 3 to 10 we get 13.
The final amount of yards they have are 13.
I hope this helps:)
You can get 672 calories from eating 8 apples. How many calories can you get from eating 1 apple?
Step-by-step explanation:
672 divides by 8
=8.375
PLZ NEED HELP brainliast if right
Answer:
WHAT DO YOU NEED HELP ON, I CANNOT SEE THE IMAGE
SORRY
Step-by-step explanation:
Answer:
umm what's the question
Step-by-step explanation:
can you tell me the answer please, i’d appreciate it sm. thanks
Answer:
Yeah... I think u got it right... sorry if I’m wrong
Step-by-step explanation:
===========================================================
Explanation:
The length of segment MN is the same as the distance from M to N
Count out the spaces from M to N to see that there are 5 spaces, so that's why choice A is the answer.
-------------
Or you can break it down like this:
There are 3 spaces from -3 to 0There are 2 spaces from 0 to 2So we have 3+2 = 5 spaces total between M and N.
-------------
A more formal approach:
Let M = -3 and N = 2
Now subtract and apply absolute value.
|M - N| = |-3-2| = |-5| = 5
or
|N - M| = |2-(-3)| = |2+3| = |5| = 5
Either way, we get a distance of 5 units.
Absolute value is used to ensure that the result is never negative.
13x-12x+45•12=14-12x-10•5
Answer:
[tex]x=\frac{576}{11}[/tex]
Step-by-step explanation:
13x - 12x + 45 * 12 = 14 - 12x - 10.5
Multiply first
13x - 12x + 540 = 14 - 12x - 50
Combine like terms
x + 540 = 12x - 36
Subtract x from both sides
540 = 11x - 36
Add -36 to both sides
576 = 11x
Divide both sides by 11
[tex]x=\frac{576}{11}[/tex]
Hope this helps as pls do mark me brainliest if you can:)
please helpppppppppp me please
Answer:
WITH WHATttttt
Step-by-step explanation:
Use the slope formula to find the slope between the given two points?
(2, 1) and (8,9)
Answer:
4/3
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
(9-1)/(8-2)
4/3
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
(2,1) (8,9)
The formula that you would use is:
[tex]\frac{y_{2}-{y_1} }{x_2-x_1}[/tex]
So, 2 could be [tex]x_1[/tex] and 1 could be [tex]y_2[/tex]
and 8 could be [tex]x_2[/tex] and 9 could be [tex]y_2[/tex]
When we insert these numbers into the equation, we get:
[tex]\frac{9-1}{8-2}[/tex]
When we solve that we get:
[tex]\frac{8}{6}[/tex]
Now we simplify it by dividing both the numerator and denominator by 2, which would give us:
[tex]\frac{4}{3}[/tex]
Kayla was driving from Philadelphia to Florida, trying to remain at a constant speed as much as possible after she reached the highway. She travelled 139.5 miles after an hour and a half and then 395 miles after 5 hours. Which represents Kayla's speed (rate of change)?
Answer:
Step-by-step explanation:
Speed = change in distance/change in time
S= Δd/Δt
let d1 = 139.5miles
d2 = 395miles
t1 = 1.5 hrs
t2 = 5hrs
Δd = d2-d1
Δd = 395-139.5
Δd = 255.5miles
Δt = 5-1.5
Δt = 3.5hrs
Speed = 255.5/3.5
Speed = 73miles/hr
Hence Kayla's speed is 73miles/hour
Oth John's parents and Marco's parents decide to start a college fund for their children. The expressions below represent the value of each college fund after w weeks. John's College Fund: 43 w + 1814 12 Marco's College Fund: 25 w + 1744
Answer:
Step-by-step explanation:
The question is not clear on what to solve for, but we can solve for the number of weeks in which the two funds will have the same amount.
let the total fund funds be y
and the number of weeks be w
For John's fund the expression is
y=45w+1814------1
Marco's College Fund
y=25 w+1744---------2
equating 1 and 2 we have
45w+1814=25w+1744
45w-25w=1744-1814
20w=-70
divide both sides by 20 we have
w=-70/20
w=-3.5
this means that in 3 and half weeks the two funds will have the same amount in them
One end of a spring is attached to a ceiling. When an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m . What is m when l is 73?
please helpppp!
The value of the mass when I is 73 will be m = 14.4.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that when an object of mass m kilogram is attached to the other end of the spring, the spring stretches to a length of / centimeters as shown in the equation l = 24 +3.4m.
The mass will be calculated as below,
73 = 24 + 3.4m
49 = 3.4m
Divide by 3.4 into both sides
14.4 = m
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The two triangles are similar. Find the missing side length.
9.6
60
12
16
Answer: x = 9.6
Step-by-step explanation: 24/x * 20/8 (cross multiply)
20x = 192 (now divide)
x = 9.6