Answer:
[tex]y = \frac{4}{3}x - 12[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (3,-8)[/tex]
[tex](x_2,y_2) = (6,-4)[/tex]
Required
Determine the equation
First, we need to determine the slope (m):
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-4 - (-8)}{6 -3}[/tex]
[tex]m = \frac{-4 +8}{3}[/tex]
[tex]m = \frac{4}{3}[/tex]
Next, we determine the line equation using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = \frac{4}{3}[/tex]
[tex](x_1,y_1) = (3,-8)[/tex]
[tex]y - (-8) = \frac{4}{3}(x - 3)[/tex]
[tex]y +8 = \frac{4}{3}(x - 3)[/tex]
[tex]y +8 = \frac{4}{3}x - 4[/tex]
[tex]y = \frac{4}{3}x - 4 - 8[/tex]
[tex]y = \frac{4}{3}x - 12[/tex]
The equation of the line that passes through (3, -8)(6, -4) is y = - 1 / 2 x - 1
The slope intercept equation is as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
The line passes through (3, -8)(6, -4)
m = -4 - 3 / 6 + 8 = -7 / 14 = - 1 / 2
y = - 1 /2 x + b
let's find b using (6, -4)
-4 = - 1 /2 (6) + b
-4 + 3 = b
b = -1
Therefore,
y = - 1 / 2 x - 1
learn more:
A bathtub filled with 40 gallons of water drains at an average rate of 3 p minute what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining
Answer:
The rate of change = 3 gallons of water per minute
initial value = 40 gallons of water
Step-by-step explanation:
Initial volume of the bathtub = 40 gallons of water
Average rate of drain = 3 gallons of water per minute
what is the rate of change and initial value of the linear function that models the amount of water in the bathtub after starts draining?
The rate of change is 3 gallons of water per minute and initial value is 40 gallons of water
HELLLLP!!!!
A recipe for 16 banana nut muffins calls for one cup of flour the number of muffins that can be made varies directly with the amount of flour used there are 3 1/ 4th cups of flour available how many muffins can be made
Answer:
52 muffins
Step-by-step explanation:
3 * 16 = 48
48 + 4 = 52
22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).
help is appreciated !!!
Answer:(
(-4,-3)
Step-by-step explanation:
You get the negative and subtract from y1 and y2 and then ad x1 with the result of the subtraciton. : ) hope this helps!
Estimate the product 0.62 x 104
Answer:
The estimated product is 52.
Step-by-step explanation:
0.62 is 0.38 away from one and 0.12 away from 0.5. Since it's closer to 0.5, we'll round it to that. 104 doesn't need to be rounded because it's a whole number. So, 1/2 of 104 is 52. The estimated product is 52
Hope this helps! :)
V = LWH solve for the variable w
Answer:
w=v/lh
Step-by-step explanation:
Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is higher than triangle H J K. How can a translation and a rotation be used to map ΔHJK to ΔLMN? Translate H to L and rotate about H until HK lies on the line containing LM. Translate K to M and rotate about K until HK lies on the line containing LM. Translate K to N and rotate about K until HK lies on the line containing LN. Translate H to N and rotate about H until HK lies on the line containing LN.
Answer:
Translate K to N and rotate about K until HK lies on the line containing LN.
Step-by-step explanation:
Hope this helps bb's!!
Lots of love and peace your way!! <3
For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.
What are translation and rotation?When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.
In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.
The image of the triangle translation is attached with the answer below.
Read more about translation
https://brainly.com/question/12861087
#SPJ5
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?
a. (♾,-21)
b. (♾, -21)
c. (-21,♾)
d. (21,♾)
Answer:
c
Step-by-step explanation:
i honetsly think
PLEASEEEE HELPPP!!
Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure
Answer:distributive
Step-by-step explanation:
Roxanne has already jarred 10 liters of jam and will jar an additional 3 liters of jam every
day. How many days does Roxanne need to spend making jam if she wants to jar 16 liters
of jam in all?
Explain please and how to do the equation
Answer:
3
My logic:
so she jars 10 on the first day (that is 1 day) and she wants to jar 16. so if you subtract 10 from 16 you get 6. Now we know she wants to jar 6 more, and if she does 3 every day then you would divide 6 by 3 and get 2. 2+1 is 3, so 3 days. (if you cant chose 3 chose 2 because your teacher might not want yo to count the first day)
Hope this helped!
12х – 5y = — 20
y = x+4
can someone help me find the x and y
Answer:
0 I think because when you plug y in and combine like terms, you get 7x=0
Answer:
(I'm not sure what you're asking but I believe you're asking for the coordinate where they intersect!)
The lines intersect at (0, 4)
Step-by-step explanation:
Question:
12x-5y=-20
y=x+4
1) Simplify the first equation!
12x-5y=-20
Move 12x to the other side (remember when you move numbers to the opposite side of the equation, it makes them negative) to isolate y!
-5y=-20-12x
Divide all numbers by -5 to just get the variable y
y=4+12/5x
2) Solve
I'm going to be solving by substitution since I like this method the best!
y=4+12/5x
y=x+4
1) Set the equations equal to another (you'll be replacing the variable of y for an equation)
x+4 will be replacing y of the other equation
x+4 = 4+12/5x
2) Simplify
Subtract x on both sides
x-x + 4 = 4+ 12/5x-x
4=4+7/5x
Subtract 4 on both sides
0=7/5x
x is equal to 0!
3) Find y
1) Set x equal to 0 in an equation (I'm doing y=x+4 because it's easier!)
y=x+4
y=0+4
2) Simplify
y=4
Answer:
(0, 4)
PLS ANSWER NO MESSING AROUND PLSSSSSS TWO PEOPLE ALREADY FAKED IT
Answer:
Step-by-step explanation:
1). 3
2). $23.63
3). 18.1 seconds
An object is moving at a speed of 850 miles per hour. Express this speed in meters per minute.
Answer:
it would be 1385
Step-by-step explanation: because 850 miles per hour converted into meter per min would be 22799.04 meters per sec and then u would Find the number in the whole number place 4 and look one place to the right for the rounding digit on the right side of the decimal point 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5
So the answer is 1385
Answer:
22799 meters per minute I don't know how to express
multiply 850 by 26.822 and u should get 22799 well almost
If there are 7 boys for every 3 girls, how many boys would there be if there were 60 girls?
Answer:
140
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
I’ll give the Brainliest to who answers this question with a reasonable explanation.
Find the best buy between 6.2 oz. for $2.97 or 8 oz. for $3.47.
A) Buying 8 oz for $3.47 is the better buy.
B) Buying 6.2 oz for $2.97 is the better buy.
Thank you!
which of the following terminating decimals is equivalent to -1 3\4
Answer:
Step-by-step explanation:
-1 3/4 = -1.75.
If there are 63 butterflies in 3 gardens, how many butterflies are in 2 gardens?
Answer:
42
Step-by-step explanation:
63 divided by 3 first because you need to break each group down into equal gardens with the same amount of butterflies.
now you have 21 you need to multiply with the number 2 because you need to know how many butterflies are in two gardens
and now you get 42
______ terms are also expressions. (please fill in the blank)
A. No
B. All
C. Some
Answer: The answer is some
I know this because I go to Harvard
Answer:
The answer is some
PLEASE HELP ME!!!! its due today
Twelve and three tenths more than five and thirteen thousandths of a number d is equal to fifteen and three hundred two thousandths. What is the value of d?
Answer:
d=5
Step-by-step explanation:
solve equation by factoring 8x^2-8x=0
PLEASEEEE HELPPPPPPP ASAPPPPP
Answer:
x>-1
Step-by-step explanation:
first, you have to distribute. 12x+8-6>2x-16+8
then you have to combine like terms 12x+2>2x-8
you put the X's on one side 10x+2> -8
move the 2 to the -8 10x>-10
divide x>-1
Answer:
Number 2. x>-1
Step-by-step explanation:
4(3x+2) is 12x+8. 12x+8-6 is 12x+2.
12x+2>8+2(x-8)
2(x-8) is 2x-16. 2x-16+8 is 2x-8.
12x+2>2x-8
12x>2x-10
10x>-10
x>-1
??????!?????????????????????!?!
Step-by-step explanation:
if the area of a box is 1 cm^2
then area of triangle is6 cm square
What is the answer and method to find the quotient of 5.25/1.5
Answer: 3.5
Use long division
What is the y-intercept of the line 3x – 4y = 24?
Answer:
-4 becuase when you graph it the y intercepts at -4
Step-by-step explanation:
Answer:
y-intercept: (0,-6)
Step-by-step explanation:
To find the y-intercept of an equation you make x equal to 0 and we get the equation -4y=24 when we solve that equation by dividing by -4 from both sides and we get our y which is -6.
Hope this helps you :)
A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is
Answer:
32 pounds
Step-by-step explanation:
$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.
The first step would be to derived an equation
$3 + $0.75
3 + 0.75x
Where x = number of pounds
George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.
Hence,
3 + 0.75x = 27
0.75x + 3 = 27
0.75x = 27 - 3
0.75x = 24
x = 24/0.75
x = 32 pounds
The maximum number of pounds that this package could be is 32 pounds
When Rhonda was 12, her grandmother made her a quilt. Each pattern in the quilt contained 126 quares. The
pattern was repeated 8 times to make the entire quilt. How many squares were in Rhonda's quit?
Answer:
B. The quilt consisted of 1,008.
Step-by-step explanation:
You take the initial number of squares the quilt had, which was 126. If that number was repeated 8 times for the entire quilt you would have to take 126*8 and the answer would be 1,008.
If this helped you please click the thanks button.
Thank you and good luck! :-D
What is the slope of the line represented by the equation 3x - 2y=5
Answer:
m = 3/2
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define function
3x - 2y = 5
Step 2: Rewrite
Subtract 3x on both sides: -2y = 5 - 3xDivide -2 on both sides: y = -5/2 + 3/2xRewrite: y = 3/2x - 5/2Step 3: Identify
Slope m = 3/2
y-intercept b = -5/2
Find the distance between -12 and 25
Answer:
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
You can use absolute value to solve this. l-12l+l25l=12+25=37
Absolute value is the distance from 0.
which is the best estimate for this expression ?
a) 300
b) 40
c) 3
d)0.4
Answer:
A
Step-by-step explanation:
Which of these expressions shows unlike terms?
Your answer:
2x +7x
2x+2y
2(x+1)
3x+1x
Answer:
2x+2y
Step-by-step explanation:
x and y are unlike terms, and the only unlike terms in this list. you cannot add them together – therefore, 2x+2y is the answer you seek.
1/4 x 2 2/3, what is the product? (In fraction)
Answer:
8/12
Step-by-step explanation:
you want to write out your problem so it is
1/4 * 2 2/3
then you would want to change your 2nd fraction into an improper fraction (i think. i don't remember the correct term)
so you would multiply the denominator by the whole number on the side and then add the numerator to it
2 2/3 would them become 8/3 (you keep the denominator the same through the process)
so then you would multiply
1/4 by 8/3
multiply across and you get 8/12
Im not a very good explainer but i hope i helped :)