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gavmur [86]
3 years ago
8

While taking an online pretest for an algebra class, the distance formula was displayed as shown below.

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

The calculated distance would be in square units instead of linear units.

Answer: Option C.

<u>Explanation:</u>

The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.

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I'm super confused on parts g and h because no formula is given, just the limit values. These are the values:
Mrrafil [7]

Answer:

See below.

Step-by-step explanation:

1)

So we have the limit:

\lim_{x\to 4} (f\circ g)(x)

This is equivalent to:

\lim_{x\to 4} f(g(x))

To solve, we can use the following property:

\lim_{x \to c} f(g(x))=f(  \lim_{x \to c} g(x))

Therefore, our limit is the same as:

\lim_{x\to 4} f(g(x))\\=f(\lim_{x\to 4} g(x))

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

=f(-2)

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.

Similarly, for the second one:

2)

We have:

\lim_{x\to 4} (g\circ f)(x)\\=\lim_{x\to 4}g(f(x))

Using the same property:

=g(\lim_{x\to 4} f(x))

And we are told that this is 16, so:

=g(16)

And we just need to evaluate this to find the limit.

I hope you find this helpful!

8 0
2 years ago
Factorize 6ab-15bc-16cd+4ab​
balu736 [363]

Answer:

mommymommymoomamayeahyeah

4 0
2 years ago
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c
natka813 [3]

Answer:

A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.

6 0
2 years ago
How could you use this information to determine the erosion after 10 years? *
Brums [2.3K]

Answer:

{\huge{\mathfrak{\underbrace{\pink{Answer}}}}}

.

.

<h3><em>Erosion is the geological process in which earthen materials are worn away and transported by natural forces such as wind or water. A similar process, weathering, breaks down or dissolves rock, but does not involve movement.</em></h3>

<em>.</em>

<em>.</em>

<em>u</em><em> </em><em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

3 0
2 years ago
Together Abel and Bob have 49 video games. Abel has 11 more video games than Bob. How many games does each person have.
DiKsa [7]

Answer:

Abel has 30

Bob has 19

Step-by-step explanation:

Abel = a

Bob = b

a + b = 49

a = b + 11

Substitute:

2b + 11 = 49

2b = 38

b = 19

a = 30

7 0
2 years ago
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