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1 year ago

What is the slope of the line that passes through the points (-8,-1) and (-8,11)?

Mathematics

1 answer:

lubasha [3.4K]1 year ago

4 0

Answer: $\text{Slope}=\Large\boxed{Unde fined}$

Step-by-step explanation:

Given information

$(x_1,~y_1)=(-8,~-1)$

$(x_2,~y_2)=(-8,~11)$

Given the formula for the slope

$\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute values into the formula

$\text{Slope}=\dfrac{(11)-(-1)}{(-8)-(-8)}$

Simplify the numerator and the denominator

$\text{Slope}=\dfrac{11+1}{-8+8}$

$\text{Slope}=\dfrac{12}{0}$

Simplify the fraction

$\text{Since any number divided by 0 is impossible to find, therefore: }$

$\text{Slope}=\Large\boxed{Unde fined}$

Hope this helps!! :)

Please let me know if you have any questions

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6. Find LCM (10,14,63).

Katen [24]

Answer:

630 is the LCM

Step-by-step explanation:

You have to list all the multiples of each number till you find the lowest same value one which in this case it's 630.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650

Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658

Multiples of 63:

63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756

3 0

3 years ago

Which of the following sets could be represented by the given Venn Diagram?

lord [1]

Reptiles and mammals

6 0

3 years ago

Read 2 more answers

The opening balance of the March billing cycle for Bernice's credit card was $2374. If she makes a new purchase of $200 on the 2

Norma-Jean [14]

The opening balance of the March billing cycle for Bernice's credit card = $2374.

Amount of new purchase = $200 on the 20th of March.

She did purchase only of $200 in that March month.

We are given that she didn't do any payment.

So, still she has balance $2374 till end of the month.

Therefore, her average daily balance is $2374.00

So, the correct option is B. $2374.00.

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3 years ago

Read 2 more answers

Graph the functions and approximate an x-value in which the exponential function exceeds the polynomial function. y = 4x y = 7x2

nordsb [41]

Answer:

The Exponential function is

$y=4^x$

And the polynomial function is

$y=7 x^2 +4 x -2$

And, we have to find the value of x for which, exponential function exceeds the polynomial function which can be written as

$4^x> 7 x^2 +4 x -2$

1. When , x= -1

LHS

$4^{-1}=\frac{1}{4}=0.25$

RHS

$=7*(-1)^2 +4 *(-1)-2\\\\=7-4-2=1$

2. When , x=0

L HS

$4^0=1$

RHS

$7*0+4*0-2= -2$

3. When ,x= 0.5

L HS

$4^{0.5}=2$

RHS

$=7*0.25 +4*0.5 -2\\\\= 1.75+2-2\\\\=1.75$

4. When , x=2

LHS

$4^{2}=16$

RHS

$=7*4^2+4*4-2\\\\=112+16-2\\\\=126$

The Minimum value for which exponential function exceeds the polynomial function is , x= 0.5

But,there is other value for which exponential function exceeds the polynomial function is , x=2.

5 0

3 years ago

A 96-ft high transmission tower casts a 72-ft long shadow. An anchor wire runs from the top of the tower to the tip of the shado

galben [10]

See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet

Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°

Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet

The answer is letter "B" which is 8 feet.

5 0

3 years ago