What do you notice about each solution? :
Picture 1 - They never intersect/touch.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other.
What do you notice about the graphs for each set of equations? :
Picture 1 - The lines are parallel.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other. (otherwise known as coincident lines).
What do you notice about each set of equations? :
Picture 1 - They have the same slope but different y-intercepts.
Picture 2 - Both the slopes and y-intercepts are different for each equation.
Picture 3 - They have the same slope and same y-intercept.
What generalization can you make? :
Picture 1 - When equations have the same slope but different y-intercepts they will be parallel when graphed.
Picture 2 - When the equations have different slopes and different y-intercepts they will be intersecting.
Picture 3 - When the equations are the same they will be coincident lines when graphed.
Six mystery books, five science books, four history books, and three adventure books add up to 18 books on the shelf.
18 divided by 9 = 2 books >> which equals 1/9 of the shelf
2/9 equals 4 books ...etc
The four history books would equal 2/9 and would be your answer!
5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
<h3>What number must be an integer multiplied by to find a perfect square? </h3>
A number is a <em>perfect</em> square if the following property is satisfied:
a = b², where is a <em>natural</em> number.
Please notice that b can be either a <em>prime</em> number or a product of <em>prime</em> numbers.
Initially, we proceed to factorize 35280 by factorial decomposition, that is, as a product of <em>prime</em> numbers:
35280 = 2⁴ × 3² × 5 × 7²
35280 = (2²)² × 3² × 5 × 7²
35280 = 4² × 3² × 5 × 7²
Then, we must add a 5 to find a product that is a perfect square:
4² × 3² × 5² × 7² = 176400
5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.
To learn more on prime numbers: brainly.com/question/9315685
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17. 187 divided by 11 equals 17.
I believe the answer is D.<span />
