a small city park has a rectangular lawn that is 20meters long and 10meters wide. what is the area of the lawn

2 answers:

7 0

The formula for the area of the rectangular is:
long * wide
So the answer is:
20*10 = 200 meters :))))
I hope this is helpful
have a nice day

jok3333 [9.3K]3 years ago

3 0

200 meters because l*w=A, 20*10=200

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Given f (x) = 1/4x-3/4<br> Find f^-1

Snowcat [4.5K]

The inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

<h3>What is a function?</h3>

It is defined as a special 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 function:

$\rm f(x) = \dfrac{1}{4}x-\dfrac{3}{4}$

To find the inverse of a function:

Interchange the f(x) and x

f(x) → x

x → f⁻¹(x)

$\rm x = \dfrac{1}{4}f^{-1}(x)-\dfrac{3}{4}$

Make the subject f(x);

$\rm \dfrac{1}{4}f^-^1(x)=x+\dfrac{3}{4}$

$\rm f^-^1(x)=4x+3$

Thus, the inverse of a function f(x) is f⁻¹(x) = 4x + 3 after using the concept of the inverse of a function.

Learn more about the function here:

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6 0

2 years ago

Find the coordinates of the vertices of the figure formed by each system of inequalities. x + y < 9 x - 2y < 12 y < 2x

Vladimir [108]

Answer:

b. (10, -1), (-6, -9), (2, 7)

Step-by-step explanation:

One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.

First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.

Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9 ⇒ 0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.

Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).

Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.

Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.