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3 years ago

How do you find a unit rate

Mathematics

1 answer:

galben [10]3 years ago

8 0

Answer:

Divide the numerator and denominator

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. The unit price is a type of ratio where the numerator is the price and the denominator is the quantity of a good or product.

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Find limit as x approaches 2 from the left of the quotient of the absolute value of the quantity x minus 2, and the quantity x m

Molodets [167]

Answer:

$\lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1$ .

Step-by-step explanation:

We want to find $\lim_{x \to 2^-} \frac{|x-2|}{x-2}$ .

By definition:

$|x-2|=\left \{ {{x-2,\:if\:x\:>\:2} \atop {-(x-2),\:if\:x\:$

Since we want to find the Left Hand Limit, we use f(x)=-(x-2)

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} \frac{-(x-2)}{x-2}$ .

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} (-1)$ .

The limit of a constant is the constant.

$\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1$ .

8 0

3 years ago

Another landscape architect recommends installing a triangular statue

Dima020 [189]

Answer:

A landscape architect recommends installing a triangular statue with

vertices at (10, −10), (10, −8), and (7, −10).

a. Is the triangle congruent to triangle T ? Justify your answer.

b. Propose a series of rigid motions that justifies your answer to part a.

6. Another landscape architect recommends installing a triangular statue

Step-by-step explanation:A landscape architect recommends installing a triangular statue with

vertices at (10, −10), (10, −8), and (7, −10).

a. Is the triangle congruent to triangle T ? Justify your answer.

b. Propose a series of rigid motions that justifies your answer to part a.

6. Another landscape architect recommends installing a triangular statue

5 0

3 years ago

What reason should kamal add to all of the question marks in order to completer the proof

brilliants [131]

Answer: The answers is alternate interior angles.

Step-by-step explanation: First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).

For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.