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valentinak56 [21]

3 years ago

11

Please help me it not hard

2 answers:

nikitadnepr [17]3 years ago

7 0

The answer is Blue. Hope this help

steposvetlana [31]3 years ago

4 0

Answer:

Blue

Step-by-step explanation:

I used a graphing calculator called Desmos.

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Find a formula for the described function. A rectangle has perimeter 16 m. Express the area A of the rectangle as a function of

Alex17521 [72]

Part A:

Let the length of one of the sides of the rectangle be L, then the length of the other side is obtained as follow.

Let the length of the other side be x, then

$2(L+x)=16 \\ \\ \Rightarrow L+x=8 \\ \\ \Rightarrow x=8-L$

Thus, if the length of one of the side is x, the length of the other side is 8 - L.

Hence, the area of the rectangle in terms of L is given by

$L(8 - L) = 8L-L^2$

Part B:

To find the domain of A

Recall that the domain of a function is the set of values which can be assumed by the independent variable. In this case, the domain is the set of values that L can take.

Notice that the length of a side of a rectangle cannot be negative or 0, thus L cannot be 8 as 8 - 8 = 0 or any number greater than 8.

Hence the domain of the area are the set of values between 0 and 8 not inclusive.

Therefore,

$dom(Area)=0\ \textless \ L\ \textless \ 8 \ or \ (0, 8)$

3 0

3 years ago

Why does the equation y = 3x + 5 NOT represent a proportional relationship?

Step2247 [10]

Answer:

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

This is the equation of the line in slope intercept form

where

The given equation not represent a proportional relationship, because the line not pass through the origin

In a proportional relationship the value of b (y-intercept) is equal to zero

3 0

3 years ago

For what values of k the relation R:{(k2 , 5), (3k, 6)} is not a function?

Nastasia [14]

Answer:

$k=0$ and $k=3$ .

Step-by-step explanation:

To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of $k$ that makes those coordinates equal.

$k^{2}=3k\\ k^{2}-3k=0\\k(k-3)=0\\$

Using the null factor property, we have

$k=0\\k-3=0 \implies k=3$

Therefore, the given relation is not a function when $k=0$ and $k=3$ .

7 0

3 years ago

Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!

Mila [183]

Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

$\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}$

By substituting the measures of the given sides,

$\frac{4}{2}=\frac{6}{3}=\frac{2}{1}$

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

8 0

3 years ago

There are eight planets in our solar system. Mars is the fourth planet from the sun. What percentage of the planets in our solar

larisa [96]

Answer:

C 37.5%

Step-by-step explanation:

There are 3 planets closer to the sun than mars

3/8 = .375

Changing to a percent

37.5% are closer to the sun than mars

6 0

3 years ago