A line passes through the point (1,3) and has a slope of 2. Which of these points also lies on this line?
A. (1,5)
B. (2,6)
C. (3,5)
D. (3,7)

Given :

⠀

To Find :

⠀

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]

⠀

Now substituting the values :

[tex]\qquad {\dashrightarrow{ \sf{214 \: in\times 234 \: in = Area_{(rectangle)}}}}\:[/tex]

[tex]\qquad {\dashrightarrow \: { { \sf{50,076 \: {in}^{2} = Area_{(rectangle)}}}}\:}

[/tex]

⠀

Hence, The area of the rectangle is 50,076 in² .

The area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle.

The rectangle given in the problem has,

Thus, the area of the rectangle is,

[tex]A=2\dfrac{1}{4}\times2\dfrac{3}{4}\\A=\dfrac{8+1}{4}\times\dfrac{8+3}{4}\\A=\dfrac{9}{4}\times\dfrac{11}{4}\\A=\dfrac{99}{16}\\\A=\dfrac{96+3}{16}\\A=6\dfrac{3}{16}[/tex]

Thus, the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

Answer:

h = b - a

Step-by-step explanation:

Answer:

A/b = h

Step-by-step explanation:

A=bh

1) divide both sides by b

A/b = h

Decompose each given F(s) into partial fractions.

[tex]F(s) = \dfrac{s+1}{s(s-1)(s-3)}[/tex]

has partial fraction decomposition

[tex]\dfrac{s+1}{s(s-1)(s-3)} = \dfrac as + \dfrac b{s-1} + \dfrac c{s-3}[/tex]

Combine the rational terms on the right and solve for the coefficients:

[tex]\dfrac{s+1}{s(s-1)(s-3)} = \dfrac{a(s-1)(s-3) + b s(s-3) + c s(s-1)}{s (s-1) (s-3)}[/tex]

[tex]1 = a(s-1)(s-3) + bs(s-3) + c s(s-1)[/tex]

[tex]1 = 3 a + (-4 a - 3 b - c) s + (a + b + c) s^2[/tex]

[tex]\begin{cases}3a=1 \\ -4a-3b-c = 0 \\ a+b+c=0 \end{cases} \implies a=\dfrac13, b=-\dfrac12, c=\dfrac16[/tex]

Then

[tex]F(s) = \dfrac13 \times \dfrac1s - \dfrac12 \times \dfrac1{s-1} + \dfrac16 \times \dfrac1{s-3}[/tex]

Using the frequency-shifting property, the inverse transform is

[tex]\boxed{f(t) = \dfrac13 - \dfrac{e^t}2 + \dfrac{e^{3t}}6}[/tex]

The other transform can be dealt with in the same manner.

[tex]F(s) = \dfrac1{(s-1)(s-2)(s-3)} = \dfrac a{s-1} + \dfrac b{s-2} + \dfrac c{s-3}[/tex]

[tex]\implies 1 = a(s-2)(s-3) + b(s-1)(s-3) + c(s-1)(s-2)[/tex]

[tex]\implies 1 = 6 a + 3 b + 2 c + (-5 a - 4 b - 3 c) s + (a + b + c) s^2[/tex]

[tex]\implies \begin{cases}6 a + 3 b + 2 c=1 \\ -5a-4b-3c = 0 \\ a+b+c=0\end{cases} \implies a=\dfrac12, b=-1, c=\dfrac12[/tex]

[tex]\implies F(s) = \dfrac12 \times \dfrac1{s-1} - \dfrac1{s-2} + \dfrac12 \times \dfrac1{s-3}[/tex]

[tex]\implies \boxed{f(t) = \dfrac{e^t}2 - e^{2t} + \dfrac{e^{3t}}2}[/tex]

Answer:

You find the range by subtracting the smallest value from the highest in the set. So in this case, it would be 5-0=0

Step-by-step explanation:

Hope This Helps

Have A Great Day

~Zero~

[tex]f(x)=cos(x)x^{-2}\implies f(x)=\cfrac{cos(x)}{x^2}\implies \cfrac{df}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{-sin(x)\cdot x^2-cos(x)\cdot 2x}{(x^2)^2}} \\\\\\ \cfrac{df}{dx}=\cfrac{-x[x\cdot sin(x)+2cos(x)]}{x^4}\implies \cfrac{df}{dx}=\cfrac{-[xsin(x)+2cos(x)]}{x^3}[/tex]

The required equation that can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven is y = 65x

Given the following variables

Time taken to travel is x

Mils traveled is y

Using the coordinate points (2, 130) and (4, 260)

The standard linear equation is y = mx + b

slope m = 260-130/4-2
m = 130/2

m = 65

For the intercept

130 = 65(2) + b

b = 0

The required equation that can be used to figure out how many miles Hugh and his brothers have traveled based on the number of miles they have driven is y = 65x

Learn more on linear functions here; https://brainly.com/question/14323743

Answer: proportional

Step-by-step explanation: just took the quiz

Answer:

Step-by-step explanation:

Answered here: https://brainly.com/question/26774005

Answer:

-6 5/7

Multiply the denominator by the number that doesn't exceed -47. Here, it would be -6.

7 x (-6) = -42

Then, subtract the difference to get the mixed number.

-42-5 = -47

The numbers used are found in the improper fraction: -6 5/7

Answer:

[tex]-6\frac{5}{7}[/tex]

Step-by-step explanation:

Given the following question:

[tex]-\frac{47}{7}[/tex]

To convert an improper fraction into a mixed number we simply have to divide the numerator by the denominator.

[tex]-\frac{47}{7}[/tex]
[tex]-\frac{47}{7}=47\div7=-6\frac{5}{7}[/tex]
[tex]=-6\frac{5}{7}[/tex]

Let 6 represent how many times 7 does into 47
Let 5 represent the remainder
Let 7 represent the denominator which remains the same.

Hope this helps.

Answer:

[tex]\huge\boxed{\sf{b=55\:(b=y-intercept\:;)}}[/tex]

Step-by-step explanation:

Hello.

The y-intercept of a line is a point where the graph touches the y-axis.

Y-intercepts always have an x-coordinate of 0.

Now, what is the y-intercept?

If we have a point (0, b) then b is the y-intercept.

This is just a formula, so don't think that the y-intercept is b, okay?

The y-intercept is b, but only in formulae. :)

Using the formula, we can deduce that

the y-intercept is 55.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Answer:

T = 31

Step-by-step explanation:

(T + 8) + T = 70

subtract 8 from both sides

T+T = 62

Rewrite

2T = 62

divide both sides by 2

T = 31

Answer:

10/11

Step-by-step explanation:

In hexadecimal/base-16, we have B₁₆ = 11, C₁₆ = 12, and D₁₆ = 13, so

4D₁₆ = 4 × 16¹ + 13 × 16⁰ = 77

and

BC2₁₆ = 11 × 16² + 12 × 16¹ + 2 × 16⁰ = 3010

Answer:

If he earns (e) $7.75 per hour, this implies e = 7.75h.

Step-by-step explanation:

If you wanted to solve that-

e = 7.75h

193.75 = 7.75h

Divide both sides by 7.25  

h = 25

Answer:

The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.

Positive,

because 2*12 equals to 24, and 24 is positive!

Answer:

<

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-axis and y-axis meet at (0, 0), that is the origin

Answer:The y intercept would be 55.

Step-by-step explanation:Wherever the y-axis is touched at with the x-value at 0 (in this case, its 55) that would be the y-intercept.

Answer:

[tex]\huge\boxed{\sf{55}}[/tex]

Step-by-step explanation:

Hello.

In order to determine the y-intercept, just look at the y-coordinate (If we have a point like (0, b)

b --> y-intercept

Therefore, b (the y-intercept) is equal to 55.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Option A

Step-by-step explanation:

Both fractions have common denominators (x - 4). So, we can add the numerators.

[tex]\dfrac{x-9}{x-4}+\dfrac{x^{2}-x+5}{x-4}=\dfrac{x-9 +x^{2}-x +5}{x-4}\\\\\\=\dfrac{x -x +x^{2}-9+5}{x-4}\\\\\\=\dfrac{x^{2}-4}{x-4}[/tex]

Answer:

it is a geometrical net

Answer:

the 1st

Step-by-step explanation:

no need to explain

Answer:

Ernie has $10.50 saved.

Step-by-step explanation:

1.5 x $7 = 10.5

OR

(1 x $7) + (0.5 x $7) = $7 + $3.50 = $10.50

Hope this helps!

Answer:

300

Step-by-step explanation:

60 * 5 = 300

We need slope

[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{2-1}{6-3}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{1}{3}[/tex]

This can be solved using two methods:

Method #1:

The slope is 1/3.

Method #2:

The slope is 1/3.

Looking at the two methods, we can conclude that:

The slope of the line is 1/3.

Answer:

i'm not sure but here's some encouragement- YOU CAN DO IT

Step-by-step explanation:

Answer:

The answer is 55.

m=55

Step-by-step explanation:

we know that a straight line is 180
We know that m+125 is a straight line.
This means that we will subtract 125 from 180
When you do that, you get 55.

We can check our answer by doing 125+55
That will get you 180.