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3 years ago

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.

Explanation:

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:

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:

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>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.</h3>

.

u hope this helps you.....

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