-5x+8y=42 find the value of y when x equals 6

The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9:8. What are the dimensions of the rectangle?

KATRIN_1 [288]

2100000000000000000000000000000000000000000000000000000000000000000

4 0

3 years ago

Read 2 more answers

F(x)= x-2/ x-4

hodyreva [135]

Answer:

The discontinuity is x = 4

There no holes

The equation of the vertical asymptote is x = 4

The x intercept is 2

The equation of the horizontal asymptote is y = 1

Step-by-step explanation:

* Lets explain the problem

∵ $f(x)=\frac{x-2}{x-4}$

- To find the point of discontinuity put the denominator = 0 and find

the value of x

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

* The discontinuity is x = 4

- A hole occurs when a number is both a zero of the numerator

and denominator

∵ The numerator is x - 2

∵ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

∵ The denominator is x - 4

∵ x - 4 = 0 ⇒ add 4 to both sides

∴ x = 4

∵ There is no common number makes the numerator and denominator

equal to 0

∴ There no holes

- Vertical asymptotes are vertical lines which correspond to the zeroes

of the denominator of the function

∵ The zero of the denominator is x = 4

∴ The equation of the vertical asymptote is x = 4

- x- intercept is the values of x which make f(x) = 0, means the

intersection points between the graph and the x-axis

∵ f(x) = 0

∴ $\frac{x-2}{x-4}=0$ ⇒ by using cross multiplication

∴ x - 2 = 0 ⇒ add 2 to both sides

∴ x = 2

* The x intercept is 2

- If the highest power of the numerator = the highest power of the

denominator, then the equation of the horizontal asymptote is

y = The leading coeff. of numerator/leading coeff. of denominator

∵ The numerator is x - 2

∵ The denominator is x - 4

∵ The leading coefficient of the numerator is 1

∵ The leading coefficient of the denominator is 1

∴ y = 1/1 = 1

* The equation of the horizontal asymptote is y = 1

6 0

3 years ago

Two slits are illuminated by a 348 nm light. The angle between the zeroth-order bright band at the center of the screen and the

Andre45 [30]

Answer:0.369 m

Step-by-step explanation:

Given

Distance between slit and screen is $D=154 cm$

Wavelength $\lambda =348 nm$

Angle between zeroth order bright fringe and Fourth-order bright fringe is $\theta =13.5^{\circ}$

let distance between the slits be d

Distance of n th bright fringe From central Fringe is given by

$y_n=\frac{nD\lambda }{d}$

Also $\tan \theta =\frac{y_4}{D}$

$y_4=\tan (13.5)\cdot 1.54$

$y_4=0.24\times 1.54$

$y_4=0.369 m$

5 0

3 years ago

If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to

Semmy [17]

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

7 0

3 years ago

What is an expression equivalent to 5x+10 using the distributive property?

Crank

Answer:

5x + 10

Step-by-step explanation:

I did the math and checked. :)

5 0

3 years ago