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]
Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.
Step-by-step explanation:
Diagram 1
ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)Diagram 2
ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)Diagram 3
ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HLDiagram 4
ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)Miguel, Christian, Amber, Sophia, and Kadin eat dinner together at Texas Roadhouse. The total bill is $53.25. They decide they want to split the bill evenly.
How much should each person pay
Answer:
17.75
Step-by-step explanation:
So what we know is that we have to DIVIDE the bill evenly by the amount of people sharing the bill.
> 53.25 / 3 = ?
> 5 - 3 = 2 ( one 3 goes into 5 )
> 23 - 21 = 2 ( seven 3s goes into 23 )
> 22 - 21 = 1 ( seven 3s goes into 22 )
> 15 - 15 = 0 ( five 3s goes into 15 evenly )
> 53.25 / 3 = 17.75
So this should be your result afterwards.
HELPP PLEASEE AND THANK YOU:)
Step-by-step explanation:
i think the answer is 112°.......
IF ANYONE IS A GENIUS AT MATH PLZ HELP AND ANSWER MY LATEST QUESTION!! I RLLY NEED HELP, IM LITERALLY GONNA CRY!!! IF YOU CAN'T FIND IT, BELOW IS AN IMAGE OF THE MATH SCENARIOS THAT I NEED HELP WITH!!! PLZ EXPLAIN EACH AND EVERY PART.
Answer:
Step-by-step explanation:
im not a genius at math, but i will give it a shot
scenario 3:
let m= cost per minute for WDE, let b= flat fee for WDE
42.5=50m+b
65=100m+b
subtract the two equations
65-42.5=50m
m= .45 (this is the cost per minute on WDE wireless)
plug in m=.45 into the first equation
42.5=50(.45)+b
b= 20 (this is the fixed monthly fee for WDE wireless)
HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate
htr has the equation .25x+30
WDE has the equation .45x+30
set them equal to each other and solve for x .25x+30=.45x+20
x= 50 minutes
Scenario 4:
Same deal as last question, let m=cost/movie, b=flat fee
41.25=5m+b
57.5=10m+b
subtract the two equations and solve for m
57.5-41.25=10m-5m+b-b
m= 3.25 (slope)
b=25 (y intercept)
y=3.25x+25
y=3.25(125)+25 = 431.25
3.25x+25=2.75x+35
.5x= 10
x= 20
using the number 2, 4, 6 and 8 write an expression that equals 60
Answer:
(8-2)(4+6)
Step-by-step explanation:
1. (8-2)(4+6)
6x(4+6)
2. 6x10
3. =60
can someone help me?!!! I need help!! ASAP
Answer:
x=4.6
Step-by-step explanation:
step 1 : calculate angle P since you know 2 angles
Step 2 : 57° - 90° = 180° [interior angles of a triangle ]
Step 3 : x/sin(33°) =7.1/sin(57°)
: x= 7.1Sin(33°)/sin(57°)
: x=4.6
Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4
Answer:
A, B, D are correct
Step-by-step explanation:
A. 32 divided by 1 = 32
Works, it is correct
B. 32 divided by 2 = 16
Works, it is correct
C. 32 divided by 3 = 12
Incorrect, 12 x 3 = 36, not 32
D. 32 divided by 8 = 4
Works, it is correct
-Chetan K
Can someone help:(( graph y=2x
Answer:
Look at the attached screenshot
Step-by-step explanation:
Slope is 2.
Since y-intercept is not given, we can assume that it is 0.
Answer:
Step-by-step explanation:
Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:
x y
0 0
2 4
3 6 (and so on).
Plot this (0, 0) (it's the origin). Next plot either (2, 4) or (3, 6) (or both). Then draw a line through these points.
(a) 35.8 + 10 need answer
Complete the ordered pair for the equation y=-3x - 5.
(__,4)
Answer:
[tex](-3,4)[/tex]
Reasoning:
This problem is telling you that if y equal 4, what does x equal?
You can easily insert the y value to find the constant x.
[tex]4=-3x-5[/tex]
[tex]9=-3x[/tex]
[tex]\frac{9}{-3} =\frac{-3x}{-3}[/tex]
[tex]-3=x[/tex]
What is the solution set of (x - 2)(x - 3) = 2?.
Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.
4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2
Answer:
Graphs shown below.
4.) x-intercept: (3,0) y-intercept: (0,-2) slope: 2/3
5.) x-intercept: none y-intercept: (0,4.5) slope:0
6.) x-intercept: (3,0) and (-1,0) y-intercept: (0,-1) slope: none
#4 is blue graph, #5 is green graph, #6 is red graph
Step-by-step explanation:
** #4 is blue graph, #5 is green graph, #6 is red graph **
i don't know what this means someone help?????
Answer:
2
Step-by-step explanation:
so 10÷2=5 6÷2=3 3/5
that what u need?
Answer:
the answer would be 2
Step-by-step explanation:
Increase 1000 in the ratio 2:5
Answer:
1400
Step-by-step explanation:
2/5×1000=400
1000+400=1400
Step-by-step explanation:
Let the new quantity be x.
x:1000=2:5
x/1000=2/5
(multiply both side by 1000)
[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]
[tex]x = 400[/tex]
Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)
Answer:
[tex]y = \frac{-8}{3}x - 8[/tex]
Step-by-step explanation:
Solving for the equation of the line with two points:
Let's remind ourself of the slope - intercept formula: [tex]y = mx + b[/tex]
We first have to find the slope of the line. This is found by using the formula :
[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]
We have to find the change in y (Δy) and divide it by the change in x (Δx)
We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept
Step 1: SlopeLet's use the slope formula
[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]
Slope = -8/3
Step 2: Y - InterceptTo find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)
[tex]y = \frac{-8}{3}x + b[/tex]
[tex]0 = \frac{-8}{3}(-3) + b[/tex]
[tex]0 = \frac{24}{3} + b[/tex]
[tex]0 = 8 + b[/tex]
[tex]b = -8[/tex]
Step 3: EquationLet's input our slope and y - intercept to the equation [tex]y = mx + b[/tex]
Slope = -8/3
Y - Intercept = -8
Equation: [tex]y = \frac{-8}{3}x - 8[/tex]
-Chetan K
In the figure, parallelogram PQSR and Triangle PQT are standing
on the same base and between, the same parallel lines. The
area of triangle PQT is 50 cm?. Find the area of Triangle PRS.
Answer:
50 cm²
Step-by-step explanation:
We know that PQRS is a paralleogram so we know that RS = PQ.
We also know that ΔPQT and ΔPRS has the same height . The the area is the same, from the area of that we can get 50 cm²
If a box has a volume of 456 cubic inches, with the length of 1 foot and a height of 4 inches, what is the width of the box?
Calculate the exact value of 0.428 ×2.75
- BRAINLIEST ANSWERER
please help me :) there is a picture
The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.
Answer:
A. True
B. True
C. False
D. True
E. False
Step-by-step explanation:
A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs
B. True, as y = f(x)
C. False, as there is no exponents
D. True, as if x=1, you lose 2 points
E. False, as x is the number of wrong problems
The answers are ad||cd, be=de,
Answer:
Its AD||CD
Step-by-step explanation:
Which of these are ways to measure a resting heart rate?
Select all that apply.
Answer:
Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.
Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.
Step-by-step explanation:
I did a test and that was a correct answer.
pls help me out
6x + 12x = 90
Answer:
x=5
Step-by-step explanation:
6x+12x=90
18x=90
x=90/18
x=5
Answer:
x =5
Step-by-step explanation:
To solve for x:
1: add like-terms
6x+ 12x = 90
Now it is: 18x =90
2: use division on both sides to solve for the variable
18x= 90
18x/18 = 90/18
x = 5
What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️
Let's see
[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]
[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]
From both
9x=4x=4/9The value of a new car in 2015 was 40,000 dollar. It depreciates each year by 7%. How much will the car be worth in 2026?
Answer: $30,800
Step-by-step explanation: First you have to subtract 2026 - 2015, which is 11 years. Since it depreciates by 7% each year, you would multiply 7 by 11, which is 77. 77 is the percent of depreciation of the car. After that, you would divide 40000 by 100, which is 400. Then you multiply 400 by 77 to get you final answer.
Can someone pls help me
Solve for x
Please show your work
Answer:
Hence, the value of x is 9°
Step-by-step explanation:
7x + 14 = 9x - 4. [(Corres. ∠s]
⇛ 7x - 9x = -4 - 14
⇛-2x = -18
⇛x = -18÷-2
⇛x = 18/2
∴ x = 9
NOW,
7X + 14 = 7(9) + 14 = 63 + 14 = 77°.9X-4 = 9(9) - 4 = 81 - 4 = 78°.Read more:
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find the measure of angle 1, given that AB || CD...
https://brainly.com/question/3983123?referrer
please help asap…………
Answer: linear
Step-by-step explanation:
two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time
Answer:
350L 375ML
Step-by-step explanation:
Can someone solve this for me please? I would be very thankful <3
Answer:
running speed is horse power
so up with horse
it will tell its power
go and denge it
so you will get your answer by this process
2^-3 x 3^-2
what’s the answer?
Answer:
1/72Step-by-step explanation:
[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex][tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]
[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]