Answers
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Related Questions
a teacher weighed 145 lbs in 1986 and weighed 187 lbs in 2007. what was the rate of change in weight from 1986 to 2007?
Answers
Answer:
The rate of change is: 2
Step-by-step explanation:
[tex]\frac{187-145}{2007-1986}[/tex] = 2
In a bag of m&ms, there are 12 blue,7 browns, 16 red,6 green, 4 yellow, 8 orange.What is the probability of choosing a brown or green candy from the bag
Answers
Answer:
40 percent
Step-by-step explanation:
Answer:
13/53
Step-by-step explanation:
Total number of m&m's = 53
Probability of choosing a brown candy = 7/53
Probability of choosing a green candy = 6/53
Probability of choosing a green or brown candy
= 7/53 + 6/53
=13/53
PLS HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS
Answers
Answer:
i. 4x² + 96x + 512
ii. 1,092 m²
Step-by-step explanation:
i. [ 36 + 2 (x - 2) ] × [ 20 + 2 (x - 2) ]
= (36 + 2x - 4) (20 + 2x - 4)
= (32 + 2x) ( 16 + 2x)
= 512 + 64x + 32x + 4x²
= 4x² + 96x + 512.
---------------------------------------------------------------------
ii. If x = 5
then 4x² + 96x + 512
= 4 × 25 + 96 × 5+ 512
= 100 + 480 + 512 (Simple calculation)
= 1,092 m²
Hurry I will give brainlyest!!!!
What are the factors of this expression?
34xy
Drag all of the factors of the expression into the box.
Factors
3/4 -1 3 4 x y
Answers
34, x, y are factors of this expression.
- BRAINLIEST answerer
Need Asap pls
Find the excluded value of the Following. Make sure to show the solution.
1. - 4/b + 6
2. x - 1 / (x - 3) (x + 4)
Answers
how do you convert decimal to fraction
Answers
you convert decimals to fractions by how much more numbers are after the point the more 0Answer:
for example 0.2=2/10 and0.25= 25/100
and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100
Step-by-step explanation:
can anyone help me ?
Find the missing angle measure.
Answers
Answer:
x° = 99°
Step-by-step explanation:
The polygon is a hexagon and the sum of its internal angles is:
[tex]180(n-2)=180(6-2)=180(4)=720^{0}[/tex]
subtract the 5 known angles:
[tex]x^{0} =720-145-164-59-132-121=99^{0}[/tex]
Hope this helps
What is the slope of the line that passes through the points (9, 1) and (17, 2)
Answers
Answer: The slope is 1/8
Step-by-step explanation:
Full equation = ( y = 1/8x-1/8)
Step-by-step explanation:
Slope = y2-y1/x2-x1
= 2-1/17-9
=1/8
=0.125
By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.
Answers
Answer:
16
Step-by-step explanation:
Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...
1/(1/4)² = 16
You would weigh 16 times as much.
_____
Additional comment
The distribution of mass within the earth also affects your weight.
Is this answer right?
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Your answer is correct! Good Job :)
Step-by-step explanation:
At a sale this week, a suit is being sold for $274.40. This is a 72% discount from the original price.
Answers
Answer:
Your new total with the sale is 76.83 dollars
Step-by-step explanation:
Someone please help me with this question
Answers
Answer:
Search it up
Step-by-step explanation:
hope you pass the test
What is the simplified expression for the expression belov
4(x + 8) + 5(x - 3)
O 9x + 5
O 9x + 11
O 9x + 17
O 9x + 47
Answers
Answer: 9x + 17
Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
quick question is this area or perimeter?
Answer:
2 and 3
Step-by-step explanation:
to be similar, there must have been the same scaling factor applied for length and width.
when going from 2 to 3 the width changes from 5 to 7, that is a changing factor of 7/5 = 1.4
and the length changes by the same factor :
6.5 × 7/5 = 1.3 × 7 = 9.1
Solve by substitution.
x-2y=2
2x-5y=3
I give Brainliest
Please explain step by step.
Answers
[1] x = 2y - 1
// Plug this in for variable x in equation [2]
[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y
[2] y = 1
// By now we know this much :
x = 2y-1
y = 1
// Use the y value to solve for x
x = 2(1)-1 = 1
Marsha watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Marsha watch at night?
Answers
UwU
Please help with this math
Answers
Answer:
iuj
Step-by-step explanation:
I don't know what im doing help
Answers
Answer:
81/256
Step-by-step explanation:
3/4*3/4*3/4*3/4
first multiply the numerators (3) together, which equals 81
then multiply the denominators (4) together, which equals 256
81/256 can't be simplified further
Answer:
[tex]\frac{3^4}{4^4} =\frac{81}{256}[/tex]
Reasoning:
According to exponent law:
[tex](\frac{a}{b} )^{x} =(\frac{a^x}{b^x} )[/tex]
Now apply this to your problem.
[tex](\frac{3}{4} )^{4}[/tex]
[tex](\frac{3^4}{4^4} )[/tex]
[tex](\frac{81}{256} )[/tex]
The number of trees and the number of apples are given in the table above. Determine which statement below is correct.
1. The table is proportional and the unit rate is 1/13
2. The table is proportional and the unit rate is 13.
3. The table is not proportional.
Answers
Answer:
2.
Step-by-step explanation:
The number of trees times 13
What is 2.29 rounded to the nearest whole ounce?
Answers
Answer: To round 2.29 to the nearest whole number consider the tenths' value of 2.29, which is 2 and less than 5.
Step-by-step explanation:
Please help it’s so hard for me
Answers
Answer:
Answer is d
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answers
Answer:
n > 8/3
Step-by-step explanation:
Divide both sides of the equation by 3 to make n the only variable left, n> 8/3
X
х
a) Work out (8 x 10^-3)(2 x 10^-4
Give your answer in
standard form.
(
Answers
Answer:
1.6 x 10^-6.
Step-by-step explanation:
a) Work out (8 x 10^-3)(2 x 10^-4)
= 8 x 2 x 10^(-3 + -4)
= 16 x 10^-7
Convert this to standard form by dividing the first part by 10 and multiplying the second by 10.
= 1.6 x 10^-6.
help me fro brainleist.........
Answers
Answer:
2nd one is parallel and last one is perpendicular.
can 22.75 be rounded off to 23.5?
(im not smart pfft)
Answers
Answer:
No
Step-by-step explanation:
22.75 can be rounded to:
22.8
23
20
Answer:
no only 22.8
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!
Answers
Answer:
Option e. "Polynomial in the form..."
Step-by-step explanation:
You can just look at the form that the problem is in. It's written in the exact form that this option is displaying.
Hope this helps :)
x-4-2= -11
it’s a negative 11 btw!!
Answers
Hello there!
x-4-2=-11
x-6=-11
x=-11+6
x=-5
Hope it helps
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
x=-5
Step-by-step explanation:
x-4-2=-11
x-6=-11
x=-11+6
=-5
pls help asap! i will mark brainliest!
Answers
Answer:
AB would be 18 or the first choice.
Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.
x + 8 = 2x - 17
+ 17 +17
x + 25 = 2x
-x -x
25 = x
This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
help!!!
i will give a brainliest!!
Answers
Answer: is 1 and 3
Step-by-step explanation:
Her little sister's birthday is next week, so Erin is planning a bubble-themed birthday party!
She buys a big bottle of bubble solution and divides it equally among 8 small bottles. Each
small bottle holds
1
of a gallon of bubble solution.
16
Use an equation to find the amount of bubble solution in the big bottle.
To write a fraction, use a slash (/) to separate the numerator and denominator.
Answers
Answer:
The answer and solution is in the picture
An equation is formed of two equal expressions. The equation that can represent the amount of solution in a small bottle is x=y/8.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the bubble solution in the small bottle be represented by x, while the amount of solution in the big bottle is represented by y. Since the sum of the solution of 8 small bottles is equal to a big bottle. Therefore, the equation can be written as,
The amount of solution in the big bottle) = (Amount of solution in a small bottle)×8
y = 8x
x = y/8
Hence, the equation that can represent the amount of solution in a small bottle is x=y/8.
Learn more about Equation:
https://brainly.com/question/2263981
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