Answers
Answer:
The value of a = 5.
the value of b = 6.
Step-by-step explanation:
Given the points on the line
(6, 10)(a, 8)(4, b)(2, 2)Given that all of the points are on the same line and the line represents a linear function.
Thus, the slope between any two points must be the same.
First, determine the slope between (6, 10) and (2, 2)
(x₁, y₁) = (6, 10)
(x₂, y₂) = (2, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 10] / [2 - 6]
= -8 / -4
= 2
Thus, the slope of the line = m = 2
Determine the value 'a'
(x₁, y₁) = (6, 10)
(x₂, y₂) = (a, 8)
Using the slope formula to determine the value of 'a'
Slope = [y₂ - y₁] / [x₂ - x₁]
As the slope between two points is 2.
now substitute slope = 2, (x₁, y₁) = (6, 10) and (x₂, y₂) = (a, 8) in the slope formula
Slope = [y₂ - y₁] / [x₂ - x₁]
2 = [8 - 10] / [a - 6]
2(a - 6) = 8 - 10
2a - 12 = -2
2a = -2 + 12
2a = 10
divide both sides by 2
a = 5
Therefore, the value of a = 5.
Determine the value 'b'
(x₁, y₁) = (2, 2)
(x₂, y₂) = (4, b)
Using the slope formula to determine the value of 'b'
Slope = [y₂ - y₁] / [x₂ - x₁]
As the slope between two points is 2.
now substitute slope = 2, (x₁, y₁) = (2, 2) and (x₂, y₂) = (4, b) in the slope formula
Slope = [y₂ - y₁] / [x₂ - x₁]
2 = [b - 2] / [4 - 2]
2(4 - 2) = b - 2
8 - 4 =b - 2
4 = b - 2
b = 6
Therefore, the value of b = 6
Related Questions
What is another term for "shrink"?
Stretch
Reflection
Translation
Compression
Answers
Answer: Compression.
Step-by-step explanation: Shrink means to get smaller. Compression is a synonym of shrink. Compression means the action of being compressed.
How much higher is the average cost at a clinic
than the average cost at a shelter?
Answers
Answer: the answer is 50
Step-by-step explanation: I got it right in the quiz
Answer:
50
Step-by-step explanation:
3. Which figure is a reflection of A over the x-axis? *
Answers
Answer:
triangle E
Step-by-step explanation:
imagine the X-axis as a mirror, the mirror reflects the shape or the body, and you'll see that the same distance you're away from the mirror as your reflection distance
if you want to prove that the triangle E is the reflection of the triangle A, count from the nearest point from the X-axis, you'll count 3 to reach the X-axis ,and the difference will be also 3 from the X-axis to the nearest point to the triangle E
Order the following from LEAST to GREATEST: -0.9, -4/5, -1/4, -1/2, -7/10
Answers
-0.9, -4/5, -7/10, -1/2, -1/4
Answer:
The answer is -0.9, -4/5, -7/10, -1/2, -1/4.
Step-by-step explanation:
-4/5 = -0.80
-7/10 = -0.7
-1/2 = -0.5
-1/4 = -0.25
A bag contains 6 red marbles , 6 purple marbles, and 6 yellow marbles. What is the probability of randomly selecting a yellow marble from the bag?
Answers
Answer:
1/3
Step-by-step explanation:
each color takes up 1/3 of the bag
Answer:1/3
Step-by-step explanation:6x6x6=18 divided by 6=3
Name a plane that contains AC.
plane RCA
plane WRT
plane ACR
plane WCT
Answers
It would be defi
Step-by-step explanation:
I think it definetly would be acr
How many 3/4 are in 3 3/4?
A.16
B.5
C. 3 1/4
D. 7 1/2
Answers
Answer:
5
Step-by-step explanation:
3/4 x 5 = 15/4 15/4 is 3 3/4
Can y’all help me on this question?
Answers
Answer:
134
Step-by-step explanation:
There's 2 blue arrows where 39 is, and the same arrows where 4x+7 are. This means that they are the same length. So, 4x+7 = 39. Perimeter means you add, so 28+28+39+39 = 134.
Will mark brainliest has to be correct.
Answers
x=12
Step by step explanation:
how long will the rock take to hit the ground
Answers
Please help, will give brainliest if the equation is added.
A group of friends wants to go to the amusement park. They have no more than $175 to spend on parking and admission. Parking is $12.50, and tickets cost $16.25 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answers
Answer:
10 people can go to the amusement park
Step-by-step explanation:
$175-$12.50 = $162.50
$162.50 divided by $16.25= 10
Find the slopes form two points (1, -2) and (3,-4)
Answers
Answer:
y=-x-1
Step-by-step explanation:
if points are (-1,-2) and (3,-4)
Answer:
slope intercept form: y = -1/2x - 5/2 or y = -0.5x - 2.5
6x-y=1 convert the standard form to a slope intercept.
Answers
Answer:
y= 6x-1
Step-by-step explanation:
6x-y=1
-y= -6x+1 (move x over to the right side)
y= 6x-1 (divide both sides by -1)
i need help with this question here~
Use the information provided to calculate Dominique’s net pay.
Dominique earns $7.50 an hour and worked 60 hours last month. During the month she received
$122 in tips. She also used her employee food discount and chose to have the cost of her meals deducted from her paycheck.
If Dominique had $41 deducted last month for meals, what was her net pay?
Calculating Your Income
Dominique’s Monthly Pay
Regular Pay
$
+
Tips
$
=
Gross Pay
$
-
Payroll Taxes
$ 80
-
Other Deductions
$
=
Net Pay
$
Answers
Net Pay=$451
Step-by-Step-Explanation:
I showed my work below for you to go off of. :) Hope this helps.
To compute the perimeter of a rectangle, you add the length, l , and width, w , and double this sum.
This means you can find the perimeter of a rectangle by evaluating the expression 2 (1 + w ).
Use this expression to find the perimeter of a rectangle with length 30 and width 75.
210 (A)
135 (B)
180 (C)
107 (D)
Answers
Answer:
210 (A)Step-by-step explanation:
Use the formula:
P = 2(l + w)Substitute the values and find P:
P = 2(30 +75) = 2(105) = 210Correct choice is A
Answer:
given length [l]=30
width[w]=75
perimeter= 2 (l + w )=2(30+75)=210
so
answer is A.210
3х - 30 = у
7y - 6 = 3х
Answers
Answer:
Step-by-step explanation:
This one is simple substitution... at least, substitution is the easiest method. The first equation is 3x – 30 = y and the second is 7y – 6 = 3x
As I look, I see 3 ways to use substitution to solve this:
substitute 7y – 6 for 3xsubstitute 3x – 30 for ysolve 3x – 30 = y for 3x and make it equal to 7y – 6We're going to only use 1 method for the sake of time. Try the other two on your own. Assuming you don't make any mistakes, they will work.
Method 1:
3x – 30 = y
7y – 6 = 3x — initial system of equations
7y – 6 – 30 = y — substitute 7y – 6 for 3x
7y – 6 – 30 = y — marking like terms, bold for constants, underlined for variables
7y – 36 = y — combining the constants and simplifying
Here, you could diverge into multiple paths: add 36 to both sides, subtract y from both sides, divide by 6 OR subtract 7y from both sides and divide by –6 . For the sake of time, I'm subtracting 7y, though I don't like dealing with negatives.
7y – 7y – 36 = y – 7y — subtract 7y from both sides
–36 = –6y — simplify
–36 ÷ –6 = –6y ÷ –6 — divide by –6 on both sides
y = 6 — simplify
Again, we can diverge here: substitute y into 3x – 30 = y or substitute y into 7y – 6 = 3x
I'm going to choose 3x – 30 = y but it will work either way, should you take the time (if you have it) to chase down every path this problem can take.
3x – 30 = y — initial equation
3x – 30 = 6 — substitute 6 for y
3x – 30 + 30 = 6 + 30 — add 30 to both sides to isolate 3x
3x = 36 — simplify the expression
3x ÷ 3 = 36 ÷ 3 — divide both sides by 3 to isolate x
x = 12 — simplify
So, we have x = 12 and y = 6 . We know they work for 3x – 30 = y but not if they work for 7y – 6 = 3x . Let's substitute those in to see if (12, 6) really is the solution point.
7y – 6 = 3x — original equation
7(6) – 6 ≟ 3(12) — substitute 6 for y and 12 for x
42 – 6 ≟ 36 — simplify by multiplying
36 = 36 ✔ — simplify by combining like terms on left side
Success! It works! We have found our solution!
I hope this helps increase your understanding of the concept. Have a great day!
HELP PLEASE. What is true about the domain and range of the function?
O The domain is all real numbers less than or equal to
4, and the range is all real numbers such that -3 sXs
1.
O The domain is all real numbers such that -3 sxs1,
and the range is all real numbers less than or equal to
4.
O The domain is all real numbers, and the range is all
real numbers less than or equal to 4.
O The domain is all real numbers less than or equal to
4, and the range is all real numbers.
Answers
Answer:
Step-by-step explanation:
This equation is y=4-(x+1)^2, there is no restriction upon x and y has a max value of four and approaches negative infinity as x moves away from -1 in either direction. So the domain is all real numbers and the range is all real numbers less than or equal to four.
The domain and range of the quadratic function are:
Domain: Set of all real numbers.Range: y ≤ 4.How to get the domain and range?
For a function y = f(x), we define the domain as the set of the possible inputs x, and the range is the set of the possible values y.
On the graph, we can see a quadratic function.
For the domain, we usually start assuming that the domain is the set of all real numbers, and then we remove problematic points. Where a problematic point can be a zero on a denominator or something like that.
In the case of a quadratic, there are no problematic points, then the domain is the set of all real numbers.
For the range, we can see that the function has a maximum at y = 4, and then it goes down, so the range is just:
R: y ≤ 4.
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/1214333
gallon of gas: $2.15, 15% markup
Answers
A circle has a radius of 4 in. What is the circumference of the circle? it is not 25.13 inches.
Answers
Answer:
Radius: 1.128 Area: 4
Hope this helps :)
I urgently need help!!!!
Answers
Answer:
No
Step-by-step explanation:
Hypotenuse-leg is for right triangles, which these aren't.
-x+y = 5
x - 5y = -9
Solve by elimination
Y and x
Answers
Answer:
x = -4 and y = 1
Step-by-step explanation:
-x + y = 5
+ x - 5y = -9 <— let’s eliminate x
————————————-
-4y = -4
y = 1
x - 5y = -9 <— substitute for y
x - 5(1) = -9
x - 5 = -9
+5 = +5
x = -4
8x - 14y = 3
Slope intercept form
Answers
Step-by-step explanation:
y= -8/14x + 3/14 is the answer
Answer:
y=1.75x-3/14
Step-by-step explanation:
-14y=-8x+3
y=14/8x-3/14
y=1.75x-3/14
A tank that holds up 10 gallons. when its active, a drain empties water from the tank at a constant rate, when Jada first see the tank, it contains 7 gallons of water. three minute later the tank contains five gallons of water.
At what constant/rate is the amount of water changing in the tank?
Answers
Answer:
-2/3 gallon/minute
Step-by-step explanation:
In three minutes the water volume has decreased by 2 gallons (7 less 5 is 2). The unit rate of decrease of the amount of water in the tank is thus:
- 2 gallons
------------------- = -2/3 gallon/minute
3 minutes
4(3m+9-7)
I need help plz
Answers
Answer:
12m+8
12m+36-28
11 divided by 3 as a mixed number
Answers
Answer:
3 2/3
Step-by-step explanation:
Seventeen of the monkeys at the zoo like bananas. There are 15 monkeys in all at the zoo. What fraction of the monkeys like bananas. What is th answer?
Answers
Answer:
7/15 of the monkeys like bananas
Hope this helps.
Solve using the order of operations. (9+9+72)-4+9
PLZ ANSWER PLZ HURRY
Answers
Answer:
95
Step-by-step explanation:
The order of operations is PEMDAS
Equations in PARENTHESES come first
Numbers with EXPONENTS come second
MULTIPLICATION/DIVISION problems come next (depending on which comes first in the equation
ADDITION/SUBTRACTION comes last (again, depending on which comes first in the equation)
So we do (9+9+72) first
So that equals 90
And then we subtract 4 from 90
90 - 4 = 86
Then we add 9 to 86
86 + 9 = 95
Answer: 72 is the answer
The maximum size of a text message is 160 characters.
A space counts as one character.
a. Write an equation in two variables that represents the
remaining (unused) characters in a text message as you type.
b. Identify the independent and dependent variables.
c. How many characters remain in the message shown?
Sorry its so long, made it a bunch of points
Answers
Answer:
a
Step-by-step explanation:
Answer:I have same problem
Step-by-step explanation:
What is the mean of the data set?
29, 26, 35, 34
Answers
the mean of that set is 31
Answer:
31
Step-by-step explanation:
Add all the numbers:
29 + 26 + 35 + 34 = 124
Divide by 4 (because there are 4 total numbers):
124/4 = 31
Please help on number 3 I’ll try to give u points
Answers
Answer:
Step-by-step explanation:
(0,3)