IM TAKING AN EXAM HELPPPP!!!!

Darrin is hanging 200 feet of Christmas garland on the fencing around his house. The fence has the shape of a rectangle and full

lianna [129]

Answer:

the width is 17.5 feet and the length is 82.5 feet.

Step-by-step explanation:

The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.

We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).

Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.

Let's write this in algebraic form

$width = x\\length= 5x-5\\Perimeter= 2width +2length=200\\200=2(x)+2(5x-5)\\200=2x+10x-10\\200=12x-10\\200+10=12x\\210=12x\\210/12=x\\x=17.5$

Therefore, the width is 17.5 feet.

Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:

$5x-5=5(17.5)-5=87.5-5=82.5$ feet

Therefore, the width is 17.5 feet and the length is 82.5 feet.

7 0

3 years ago

The answer i'm so confused

Elena L [17]

Slope: rise over run, for any straight line. Example: y=mx + b

Constant of proportionality: a constant by which you multiply your independent variable (x) to get a specific value of the dependent variable (y). Example: y=kx.

The main difference here is that y=mx+b may or may not pass through the origin, whereas y=kx always passes through the origin.

Both k and m are "slopes," with k pertaining to direct variation y=kx, and m pertaining to slope of a line which may or may not pass through the origin.

In this limited sense, both k and x are slopes. k could be the slope of a straight line passing thru the origin, same as m, but m could not be the constant of proportionality if the line in question does not pass through the origin.

8 0

3 years ago

A beam of polarized light with intensity I0 and polarization angle θ0 strikes a polarizer with transmission axis θTA. What angle

11Alexandr11 [23.1K]

Answer:

θ $^{TA}$ - θ $^{0}$

Step-by-step explanation:

According to the theory of Malus, when a completely plane polarized light is incident on an analyzer, the intensity 'I' of the light wave transmitted by the analyzer is proportional to the square of the cosine of angle between the transmission axes of the polarizer and analyzer. Therefore:

Using the theory of Malus, we need to estimate the angle between the transmission axis θ $^{TA}$ and the polarization axis θ $^{0}$ .

Thus:

angle θ = θ $^{TA}$ - θ $^{0}$

4 0

3 years ago

A group of 4 friends are playing cards. The deck has 70 cards. To start the game the dealer makes a pile of 15 cards in the cent

fiasKO [112]

Answer:

15 cards.

Step-by-step explanation:

Because 70-15=60. 60 divide by 4 would be 15.

8 0

3 years ago

Let f(x)=−32x and g(x)=(12)x−1 . Graph the functions on the same coordinate plane. What are the solutions to the equation f

Grace [21]

Refer to the attachment for the graph of the two functions in Desmos. To solve for the solution, we just equate the two functions and solve for x:

$-32x=12x-1$
$-44x=-1$
$x= \frac{1}{44}$

For the y value we just substitute x in any of the function:
$f( \frac{1}{44})=-32( \frac{1}{44})=- \frac{8}{11}$

ANSWER: The solution to the equation f(x)=g(x) is ( $\frac{1}{44}$ , $\frac{-8}{11}$ ).

8 0

3 years ago

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