The endpoints of a side of rectangle ABCD in the coordinate plane are at A(1,4) and
B(4,1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation is y =

Answer:

1. Take the value of X and replace X with that value in the equation.

2. Now you solve Y.

Answer:

Substitute the given value into the function and evaluate.

23 (y − 6) = −(y + 2) + 1 = y = 137/24

2 = y = 137/24

3 = y = 137/24

y − 6 = −(y + 2) + 1 = y = 5/2

Answer:

B.) $4.89

Step-by-step explanation:

44.01 ÷ 9 = 4.89

Answer:

B) $4.89

Step-by-step explanation:

44.01/9 = 4.89

44.01 = the total amount

9 = the amount of pens he got

to check your work you can do 4.89 x 9 which equals 44.01

Step-by-step explanation:

the answer is D (y=16.9)

I divided 507 and 30 and got the answer 16.9.

if you would've put any other answer it would've been wrong because the answer had the 30 in it after it was divided.(not sure if its 100% correct)

Answer:

Option 3 :

x → 7+, y → –[infinity]

Step-by-step explanation:

f(x) = (-2x² + 14)/(x² - 49)

x² - 49 = (x + 7)(x - 7)

Hence f(x) goes to infinity at x = - 7 or 7

x < - 7 = (-ve)(-ve) = + ve

=> x → –7–

Here, x² - 49 is + ve

-7 < x < 7 = (+ve)(-ve) = - ve

=> x → –7+ or x → 7– .

here, x² - 49 is - ve

x > 7 = (+ve)(+ve) = + ve

=> x → 7+

Here, x² - 49 is + ve

So (-2x² + 14) is - ve for all [ x → –7– , x → –7+ , x → 7– , x → 7+ ]

As,

-2(-7)² + 14 = -84 and -2(+7)² + 14 = -84

x → –7– = (-ve)/(+ve)

=> y → -[infinity].

x → –7+ or x → 7– = (-ve)/(-ve)

=> y → [infinity]

x → 7+ = (-ve)/(+ve)

=> y → -[infinity].

x → 7+, y → –[infinity]. is the correct option

The statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

It is defined as a spceial type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a rational function:

[tex]\rm f(x) =\dfrac{-2x^2+14}{x^2-49}[/tex]

x² - 49 cannot be zero:

x² - 49 ≠ 0

x ≠ 7, x ≠  -7

From the graph, as x approaches 7 from the left, y approaches -∞

Thus, the statement (C) as x approaches 7 from the left, y approaches -∞ describe the behavior of the graph of the function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

Overview of the exponential function

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function

Answer:

ayyyye i play soccer too lol

Step-by-step explanation:

Answer:

looks like you play softball or basketball

Step-by-step explanation:

Answer:

It's 2073 on edge2020

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

on edge 2020

The slope of the given line is 4.

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Given that, a line passing through points (3, 9) and (1, 1) we need to find the slope of the line,

Slope = y₂ - y₁ / x₂ - x₁

So,

Slope = 9-1 / 3-1 = 8/2 = 4

Hence, the slope of the given line is 4.

Learn more about slopes, click;

https://brainly.com/question/3605446

#SPJ7

Answer:

temperature and kinctic energy are related

Answer:

don't dout yourself

Step-by-step explanation:

never give up thanks for the free points

Answer:

R3 <= 0.083

Step-by-step explanation:

f(x)=xlnx,

The derivatives are as follows:

f'(x)=1+lnx,

f"(x)=1/x,

f"'(x)=-1/x²

f^(4)(x)=2/x³

Simialrly;

f(1) = 0,

f'(1) = 1,

f"(1) = 1,

f"'(1) = -1,

f^(4)(1) = 2

As such;

T1 = f(1) + f'(1)(x-1)

T1 = 0+1(x-1)

T1 = x - 1

T2 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2

T2 = 0+1(x-1)+1(x-1)^2

T2 = x-1+(x²-2x+1)/2

T2 = x²/2 - 1/2

T3 = f(1)+f'(1)(x-1)+f"(1)/2(x-1)^2+f"'(1)/6(x-1)^3

T3 = 0+1(x-1)+1/2(x-1)^2-1/6(x-1)^3

T3 = 1/6 (-x^3 + 6 x^2 - 3 x - 2)

Thus, T1(2) = 2 - 1

T1(2) = 1

T2 (2) = 2²/2 - 1/2

T2 (2) = 3/2

T2 (2) = 1.5

T3(2) = 1/6 (-2^3 + 6 *2^2 - 3 *2 - 2)

T3(2) = 4/3

T3(2) = 1.333

Since;

f(2) = 2 × ln(2)

f(2) = 2×0.693147 =

f(2) = 1.386294

Since;

f(2) >T3; it is significant to posit that T3 is an underestimate of f(2).

Then; we have, R3 <= | f^(4)(c)/(4!)(x-1)^4 |,

Since;

f^(4)(x)=2/x^3, we have, |f^(4)(c)| <= 2

Finally;

R3 <= |2/(4!)(2-1)^4|

R3 <= | 2 / 24× 1 |

R3 <= 1/12

R3 <= 0.083

Answer:

Number 2 is 10 dollars and 17 cents

Number 1 is 194 dollars and 2 cent

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

Answer:

if x = pi/2, then y =1.

if x = pi/4, then y = [tex]\frac{\sqrt{2 } }{2}[/tex]

if x = pi, then y = 0

Step-by-step explanation:

The required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

Given the equation of a sine graph expressed as:

[tex]y=sinx[/tex] for all values of x within the range 0 < x < 2π

We need to get the value of y for the values of x within the range as shown:

If x = 0;

y = sin0

y = 0

The required solution is (0, 0)

If x = 30;

y = sin30

y = 0.5

The required solution is ([tex]\frac{\pi}{6}[/tex], 0.5)

If x = [tex]\frac{\pi}{4}[/tex];

y = sin [tex]\frac{\pi}{4}[/tex]

y = [tex]\frac{1}{\sqrt{2} }[/tex]

The required solution is ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex])

If x = [tex]\pi[/tex]

y = sin [tex]\pi[/tex]

y = 0

The required solution is at ( [tex]\pi[/tex], 0)

If x = [tex]2\pi[/tex]

y = sin[tex]2\pi[/tex]

y = 0

Hence the required answer as a comma-separated lists are (0, 0),  ([tex]\frac{\pi}{6}[/tex], 0.5), ( [tex]\frac{\pi}{4}[/tex],  [tex]\frac{1}{\sqrt{2} }[/tex]),  ( [tex]\pi[/tex], 0)

Learn more here: https://brainly.com/question/2919352

Answer:

$3.20

Step-by-step explanation:

First, find the area in square feet of his room:

Use the area formula, A = lw, where l is length and w is width:

A = lw

A = 14(11.5)

A = 161

So, his room is 161 square feet.

To find the cost per square foot, divide 515.20 by 161:

515.20/161

= 3.2

So, the cost per square foot was $3.20

Answer:

6 2/3 x 1 1/2 is 10

Step-by-step explanation:

Answer:

One pound of granulated sugar converted to gram equals to 453.59 g. How many grams of granulated sugar are in 1 pound? The answer is: The change of 1 lb ( pound ) unit in a granulated sugar measure equals = into 453.59 g ( gram ) as per the equivalent measure and for the same granulated sugar type.

Answer:

3/4*X < -18

( put a line underneath the less than sign ) ( Astric's means multiplication )

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

Answer:

x ≥ - 24

Step-by-step explanation:

Let's solve this with an equal sign and then decide how to handle the at least part.

3/4 x = -18              Multiply by 4

3/4 * 4 x = -18*4     Cancel the left, multiply the right.

3x = -72                  Divide by 3

x ≥ -24

You need  the greater than to indicate that 3/4 of a number can give something larger than - 18.

You need the equal sign to fulfill at least.

At least, in this question means "get larger."

so x > - 24

Answer:

I think it would be Column 2

Step-by-step explanation:

Answer:

What is the ratio? e = 25/75

What is the percent error? f = 33%

Step-by-step explanation:

Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

Answer:

Step-by-step explanation:

7x+5y=25

3x+2y=10

21x+15y=75

21x+6y=30

0x+11y=45

11y=45

y=45/11

y = 4.09

sub in 4.09 into equation 1

7x+5(4.09)=25

7x+20.45=25

7x=25-20.45

x=4.55/7

Answer:

..............5

Step-by-step explanation:

64 ÷12 4/5

Answer:

10.5 is really 10.50 the . 5 is half the whole one unit, like 50 cents is half a dollar

Answer:

30

Step-by-step explanation:

12x4=48

243-48=195

195/6.50= 30

hope that helps :)