$\text{Find the distance from one corner to the other}\\\\\text{In this question, we would use the Pythagorean theorem to find the length}\\\text{between corners}\\\\\text{Pythagorean theorem:}\\\\a^2+b^2=c^2\\\\\text{We are trying to find c}\\\\\text{Plug in and solve:}\\\\7^2+6^2=c^2\\\\49+36=c^2\\\\85=c^2\\\\\text{Square root}\\\\\sqrt{85}=\sqrt{c^2}\\\\\sqrt{85}=c\\\\\text{In decimal form, it's: 9.219544}\\\\\text{Round to the nearest tenths place}\\\\\boxed{9.2\,\, feet}$

6 0

4 years ago

Find the domain of the graphed function.

Darya [45]

The domain of the graphed function is [-3, 2)

<h3>How to determine the domain and the range?</h3>

From the given graph, we have the following highlights:

Minimum x value = -3 (closed circle)
Maximum x value = 2 (open circle)

Open circles are represented with () while closed circles are represented with []

Hence, the domain of the graphed function is [-3, 2)

Read more about domain at:

brainly.com/question/2264373

#SPJ1

4 0

2 years ago

Find the slope pf the line on the grap (-2,2),(4,0) reduce all fractional answers to the lowest term.

wariber [46]

Hey there! :)

We're trying to find the slope of the line on the graph (not given, but that's okay). We're given the points (-2, 2) and (4, 0).

Using the slope equation, we simply just have to plug our points in and boom - there's your slope!

Slope equation : m = y₂ - y₁ / x₂ - x₁

Now, using our given points, we can very simply plug everything in! :)

Now, in case you didn't know which number aligns with which variable, I'll go ahead and help you out with this.

x₁ = -2 , x₂ = 4 , y₁ = 2 , y₂ = 0

Now, let's plug and chug!

m = (0 - 2) / (4 - (-2))

Simplify.

m = -2 / 4 + 2

Simplify.

m = -2 / 6

Simplify.

m = -1/3

So, our slope is -1/3.

~Hope I helped!~

7 0

3 years ago