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3 years ago

Molly is using a map with a scale of 12 = 40 molly needs to travel from point x to point y how far does she need to travel

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

7 0

Answer:

See Explanation

Step-by-step explanation:

Given

$Ratio=12:40$

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

$Ratio = Scale : Actual$

So, we have:

$Scale : Actual = 12 : 40$

Express as fraction

$\frac{Actual}{Scale} = \frac{40}{12}$

Make Actual, the subject

$Actual = \frac{40}{12} * Scale$

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

$Actual = \frac{40}{12} * 60$

$Actual = 200$

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What is different between solving inequalities and absolute value inequalities?

Ivenika [448]

Answer:

The absolute number of a number a is written as

|a|

And represents the distance between a and 0 on a number line.

An absolute value equation is an equation that contains an absolute value expression. The equation

|x|=a

Has two solutions x = a and x = -a because both numbers are at the distance a from 0.

To solve an absolute value equation as

|x+7|=14

You begin by making it into two separate equations and then solving them separately.

x+7=14

x+7−7=14−7

x=7

x+7=−14

x+7−7=−14−7

x=−21

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

The inequality

|x|<2

Represents the distance between x and 0 that is less than 2

Whereas the inequality

|x|>2

Represents the distance between x and 0 that is greater than 2

You can write an absolute value inequality as a compound inequality.

−2<x<2

This holds true for all absolute value inequalities.

|ax+b|<c,wherec>0

=−c<ax+b<c

|ax+b|>c,wherec>0

=ax+b<−corax+b>c

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

Step-by-step explanation:

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What

Artist 52 [7]

The image of the dilation is shown below, with the centre of dilation (0,0) and scale factor of 3

The coordinate of C' is (6, -3) which is three times of the coordinate of C(2, -1)