Please help (picture is linked)

Please Help (picture Is Linked)

Answers

Answer 1

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.

Slope

Use 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

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?

Answers

9.5 inches
456 divided by the height of 4 inches is is 114 inches
Then dividing 114 by the length of 12 inches (1 foot) you get the width which is 9.5 inches

Please help me with this homework

Answers

Answer:

Option D: [tex]y= -\frac34x+14[/tex]

Step-by-step explanation:

In order for two lines to be perpendicular, the product of the slopes has to be [tex]-1[/tex]. That allows you to rule out A and C. Let's plug the coordinate of the point in B. If the equality holds, we found or line. Else, it's D.

[tex]11 =-\frac34(4) +8 \rightarrow 11 = -3+8 \rightarrow 11=5[/tex] Which is obviously impossible. Our line has to be D

Simplify the expression: 5+2a - (9+a)

Answers

Answer:

a - 4

Step-by-step explanation:

[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]

Gina records the daily change in the share price, p, of a stock every d days. In the table below p is measured in cents.
What is the average daily change in the share price from d = 5 to d = 20?

243/15
11
-15/243
33​

Answers

From the table, the average daily change in the share price from d = 5 to d = 20 is of 11.

The average rate of change of a function p(x) over an interval [a,b] is given by:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

In this problem, rate over the interval d = 5 to d = 20, hence [tex]a = 5, b = 20[/tex].

The values of the function are [tex]p(5) = 39, p(20) = 204[/tex].

Hence:

[tex]A = \frac{p(b) - p(a)}{b - a}[/tex]

[tex]A = \frac{204 - 39}{20 - 5}[/tex]

[tex]A = 11[/tex]

The average daily change in the share price from d = 5 to d = 20 is of 11.

A similar problem is given at https://brainly.com/question/20732437

whats bigger? -6 or -5????? PLZ HELP

Answers

Answer:

-5 is more positive than -6. SO bigger, I think means less negative, so -5.

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

On a number scale, -5 is bigger than -6 because it is less negative than -6. You can also think about it in context: if the temperature was -5 degrees it would be warmer than -6 degrees so is therefore bigger!

Hope this helps!

(a) 35.8 + 10 need answer

Answers

[tex]⟹35.8 + 10 \\ = 45.8[/tex]

We are gonna add tge whole numbers together 35+10 which is equal 45 then we are going to add to the number tge decimal point and 8 so it’s going to be 45.8

In \triangle HIJ,△HIJ, \overline{HI}\cong \overline{JH} HI ≅ JH and \text{m}\angle J = 13^{\circ}.m∠J=13 ∘ . Find \text{m}\angle I.m∠I.

Answers

Answer:

13

Step-by-step explanation:

two angles are congrunet

The measurement of angle I in the given triangle HIJ is 83.5°.

Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.

Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).

In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.

Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:

x + 13° + x = 180° (sum of angles in a triangle)

Solving for x:

2x + 13° = 180°

2x = 180° - 13°

2x = 167°

x = 167° / 2

x = 83.5°

So, m ∠I is 83.5°.

Learn more about isosceles triangle click;

https://brainly.com/question/28412104

#SPJ3

Complete question is given below:

In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.

Solve the slope for the table.

Answers

Answer:

Slope = -3

Step-by-step explanation:

8-17/0+3=-9/3=-3 : Slope Formula

If ; gallon of paint covers ; of a wall, then how many
quarts of paint are needed for the entire wall?

Answers

Answer:

how many of a wall a galloon of paint cover?

Step-by-step explanation:

Translate the sentence into an equation.
Twice the difference of a number and 8 equals 5.
Use the variable b for the unknown number.

Answers

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

x-4-2=-11
i need help on this asap

Answers

Answer:

X = -5

Step-by-step explanation:

X-4-2=-11

X-6=-11

X=-11+6

X=-5

Hope it helped youuuuu

i will mark brainliest!!!!!!

Answers

Answer:

k=10x+6

Step-by-step explanation:

64 is equal to 2^6, so we just have 2^6*4^5k

4^5x is equal to 2^10x and we have 2^6*2^10x=2^k

Apply exponent multiplication rule : a^m*a^n=a^m+n

We get 2^10x+6, so 10x+6 is our answer

The answer is k= 10x+6

A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.

Answers

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

https://brainly.com/question/18478651

Answer:

first one is 6.0 and the second is 130

Step-by-step explanation:

8b–9b–5b+7b
Simplify the expression:

Answers

Answer:

b, or 1b

Step-by-step explanation:

First of all, you have to combine like terms. In this situation though, they are all b. So start at the beginning. 8-9 is -1. -1 - 5 is -6. -6+7 is 1. So you say, b, because it is the same thing as 1 b.

PLEASE HELP i will give brainliest no links​

Answers

Answer:

y=5x

Step-by-step explanation:

y=ax

use any value of x and y from the table

I chose (2,10)

10=2a

10/2=a

a=5

Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?

Answers

Step-by-step explanation:

[tex]a)[/tex]

[tex]4+5=9 (parts)[/tex]

[tex]b)[/tex]  our total is [tex]9[/tex] our boys are [tex]4\\[/tex]

our fraction is [tex]^4/_9[/tex]

[tex]c)[/tex]    [tex]^5/_9[/tex]

[tex]d)[/tex] our whole used to be [tex]9[/tex] but we doubled it so it is [tex]18[/tex]

so we double [tex]4[/tex] which equals [tex]8[/tex]

[tex]^8/_{18}[/tex]

[tex]e)[/tex] [tex]^{10}/_{18}[/tex]

Brainliest please

а
Find the length of side x in simplest radical form with a rational denominator.
\30
X
60°
3

Answers

Answer:3√3

Step-by-step explanation:

tanx=opp/adj

tan60=x/3

make x the subject: 3 × tan60= x

x= 3√3 or 5.196 in decimals

(REPOST) STATION 3 ! 40 POINTS

Answers

Finding out how fast they are going:

Liberty Express: 128.3…mph
Mercury: 130mph
International: 123mph
Delta Eagle: 125mph
Great Valley: 130.5mph

Order:

International
Delta Eagle
Liberty Express
Mercury
Great Valley

Answer:

Great valley

Mercury

Liberty

Delta

International

Step-by-step explanation:

Liberty Express: 128.333

Mercury speed: 130

International speed: 122.666666

Delta Eagle speed: 125

Great Vally speed: 130.5

distance/time=speed

Order:

Great valley

Mercury

Liberty

Delta

International

Pleeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaase help

Answers

Answer:IT IS 170

Step-by-step explanation:

A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
Edge

Answers

It would would like this. Hope this helped :)
This should be what you’re looking for

The principal is equally distributing 6
4
5
cakes on 2 tables for a school party. How many cakes are on each table?

Answers

645/2=322.5 cakes on each table

hope this helps!

(4/x–3) + (2/x+2) = 0

please I need answers asap​

Answers

Answer:

X= 6

Step-by-step explanation:

Answer:

X = 6

Step-by-step explanation:

(4/x - 3) + (2/x + 2) = 0

--> Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

4+x(−3)+2+x×2=0

--> Add 4 and 2 to get 6.

6+x(−3)+x×2=0

--> Combine x(−3) and x×2 to get −x.

6−x=0

--> Subtract 6 from both sides. Anything subtracted from zero gives its negation.

−x=−6

--> Multiply both sides by −1.

Thus, the answer is X =6

Hope this helps you!

4x+5y=20 need help solving x and y intercept plotting

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y  and solve for  x To find the y-intercept, substitute in  0 for  x and solve for  y.

Slope: [tex]m=-\frac{4}{5}[/tex]

x-intercept(s):  ( 5 , 0 )

y-intercept(s):  ( 0 , 4 )

A hardware store owner placed an advertisement for Sylvania LED bulbs in the local newspaper. Sylvania provided the storeowner with several high-quality, camera-ready sample advertisements. In addition to supplying the advertising formats, Sylvania also paid 50 percent of the cost to place the ad in the paper. Sylvania was using ________ to promote its products. manufacturer incentive advertising strategic channel partnership reseller consumer promotion retail publicity cooperative advertising

Answers

Answer: Cooperative advertising

Step-by-step explanation:

suppose that a flu virus spreads according to the

Answers

We will All get sick and would have to stay home just like cocos

Evaluate 36 = (x + 9) when x
=
3.
o
A. 3
B. 12
C. 4.
D. 21
SUB

Answers

Answer:

3

Step-by-step explanation:

36 ÷ (x + 9)

=> 36 ÷ (3 + 9)

=> 36 ÷ 12

=> 3

Therefore, 3 is the answer.

Find the perimeter. Simplify your answer.

Answers

Answer:

hi

Step-by-step explanation:

Joshua needs to join the text in two cells together. which of the following would perform this function?

a. ="good" "morning"

b. ="good"&"morning"

c. =good "&" morning

d. ="good"&&"morning"

anyone ?????????????

Answers

Answer:

g(4) = 8

g(6) = 12

Step-by-step explanation:

come on dude, easier than that?

When you graph a linear equation, it will
form a:
Select one:
a.
curve
O b. square
С.
line
d. all of the above.
Help.

Answers

Answer:

straight line, C

Step-by-step explanation:

The graph of a linear function is a straight line. Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

I hope this helps.

the sum of three consecutive integers is forty -two. find the three numbers

Answers

Answer:

13, 14, 15 right?

Step-by-step explanation:

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