answer this question

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.

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].

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.

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]

[tex]\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} [/tex]

[tex]\sf \longmapsto(2x+3y)(2x−3y)[/tex]

[tex] \boxed{\sf (2x+3y)(2x−3y)}[/tex]

Answer:

Choice D

Step-by-step explanation:

Factorise: 4x²-9y²

We can obtain the factorization by this identity:

Rewrite the given expression as:

Let (2x)² be a and (3y)² be b according to the identity.

So applying the identity:

Choice D is accurate.

Answer:

I think it's. y=-2/1x+2

Answer:

C. 97.1 should be your answer

Step-by-step explanation:

Answer:

2.42

Step-by-step explanation:

I AM VERY SORRY IF ITS WRONG

Answer:

x = 1

y = -3

Step-by-step explanation:

There are 2 ways, in this case the best way is by substitution so:

y = x - 4

y = -3x

basically you replace one of the unknown numbers in one of the equations so the equation will have only one unknown number.

y = -3x

so that means that

-3x = x - 4

you solve the equation:

-3x - x = -4

-4x = -4

x = -4 : -4

x = 1

Now we know that x is 1 so now we find out what is y

y = 1 - 4

y = -3

Answer:

32°

Step-by-step explanation:

16 × 2 = 32

Keywords:

Bisected; means to divide into two parts.

Answer:

So, original angle = 16°+16° =>32°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer: Percentage increase is 87.02%.

Explanation: Percentage increase is calculated by subtracting the value in 2012 from the value of exports in 2011 and then dividing it by the value in year 2011.

a. Subtract value in 2012 from value in 2011

b. Divide the answer in part a by value in 2011.

c. Multiply the answer in part b by 100.

We have the percentage increase.

mark brainliest pls

Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50

Using the slope - intercept relation :

b = change in cost per mile

c = constant price added for every taxi ride

Hence, the expression can be written thus :

Learn more : https://brainly.com/question/17225268

Answer:

Step-by-step explanation:

Both B and C show a decreasing plot, while C is linear.

Only A is a positive ignoring the outliers.

Answer:

x = 3

Step-by-step explanation:

2 - 2x = -3 - -1

2 - 2x = -4

-2x = -6

-2x / -2 = 1x

-6 / -2 = 3

ur answer is then 1x = 3 or x = 3.

Step-by-step explanation:

When you get negative it is ok.

It means you have a discount here, not really increase but decrease in price.

Here you have:

It is called 60% mark down or 60% discount

Answer:

None of those options

Step-by-step explanation:

I just did the work myself and even ran it through a calculator but the correct answer isn't one of those options.  Here's my work:

[tex]-\frac{5}{6} =z+\frac{1}{8}\\-\frac{5}{8}-\frac{1}{8}=z\\-\frac{40}{48}-\frac{6}{48}=z\\-\frac{46}{48}=z\\-\frac{23}{24}[/tex]

I'd contact you teacher about that...it might be an error in their system (it's happened to me a few times before where the correct answer is marked as incorrect or isn't even an option)

Answer:

1/5 and 9/4

Step-by-step explanation:

Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The reciprocal of a number [x] is given by [1/x].

We have the following numbers -

5 and 4/9

We can write -

x = 5

y = 4/9

So, the reciprocal of [x] would be [1/x]. Therefore, the reciprocal of 5 will be 1/5.

The reciprocal of [y] would be [1/y]. Therefore, the reciprocal of 4/9 will be 9/4.

Therefore -

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

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Answer:

I wish a could help u,

Step-by-step explanation:

I dont know what is that:)

Answer:

Step-by-step explanation:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh

S.A=(help me)

Answer:

-2.4, or -72/30 or -2 4/10

Step-by-step explanation:

m + np - q

m = 1/15

n = -1/3

p = -0.4

q = 2 1/3

1/15 + (1/3)(-0.4) - 2 1/3

1/15 + (-4/30) - 2 1/3

2/30 - 4/30 - 70/30

-2/30 - 70/30 = -72/30

-72/30 = -2.4

-Chetan K

Answer:

5

Step-by-step explanation:

It is the greatest exponent.

Answer:

c

Step-by-step explanation:

Answer: If you are asking for percentage, 18/400 bulbs were defective. In other words, 4.5% of bulbs were defective. This also means that 95.5% of bulbs were not defective.

Would appreciate brainly <3

Answer:

21.8

Step-by-step explanation:

1.9 + 9 = 10.9

10.9 x 2 = 21.8

Answer:

21.8

Step-by-step explanation:

2×1.9=3.8

2×9=18

total=21.8

Answer:

a ratio between two different units

for example 60miles per 5 hours

Step-by-step explanation:

let me know if you need unit rate yoo :)

Answer:

-3 1/20

Step-by-step explanation:

-3 1/20 is the first answer

Step-by-step explanation:

so, we need to find the smallest common multiple of 36 and 42.

that is the smallest number I can divide both by 36 and 42 without remain.

let's use the method of basic prime factors (we start with the smallest fitting prime number - 2 is a prime number too - and divide as often as possible, then continue with the next bigger prime number, until there is nothing left to divide) :

36 / 2 = 18

18 / 2 = 9

9 / 3 = 3

3 / 3 = 1 finished

therefore,

36 = 2×2×3×3

42 / 2 = 21

21 / 3 = 7

7 / 5 does not work

7 / 7 = 1 finished

therefore,

42 = 2×3×7

to find the smallest common multiple (SCM) we check the maximum length of each prime factor sequence.

and we see 2 times 2, 2 times 3 and 1 time 7.

so, the SCM = 2×2×3×3×7 = 252.

there is no smaller number that can be divided by both 36 and 42 without remain.

so, the rod must be at least 252 cm long to cut it into equally long pieces of either 36 cm (7 pieces) or 42 cm (6 pieces).

Answer:

20yd²

Step-by-step explanation:

6 × 6 = 36

4 × 4 = 16

36

-16

20

Answer: y = -3/5x

............................................

Answer:

P = 24

Step-by-step explanation:

P = 2L + 2W ( substitute L = 4, W = 8 into the formula )

P = 2(4) + 2(8) = 8 + 16 = 24

Answer :

Step-by-step explanation:

P=2(4)+2(8)

P=8+16

P= 24