Answer: Choice A
The second fraction should not have been multiplied by 9
This is because 1/9 already has the LCD in the denominator. LCD stands for lowest common denominator.
The first fraction 2/3 does not have 9 in the denominator, which is why they multiplied top and bottom by 3
2/3 = (2*3)/(3*3) = 6/9
After each fraction has the same denominator (9), you can add the numerators to place over the LCD like so
6/9 + 1/9 = (6+1)/9 = 7/9
This means,
2/3 + 1/9 = 6/9+1/9 = 7/9
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Problem 1, part (a)
<h3>Answer: False</h3>
For instance, 200 feet in real life can be reduced to scale down to say 2 inches on paper. So we have a reduction going on, and not an enlargement.
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Problem 1, part (b)
<h3>Answer: true</h3>
This is because a scale drawing involves similar polygons. This is true whenever any dilation is applied.
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Problem 2
I'm not sure how your teacher wanted you to answer this question. S/he didn't give you any numbers for the side lengths of the polygon. The angle measures are missing as well.
You would know if it is a linear function if it is a line.
The parent function of a linear equation is y = mx + b
If you can find the m which equals slope and the b which is the y-intercept then it is a linear equation.
You would know that it is decreasing by the slope of the equation or by looking at the line on a graph.
If a line is increasing it would go left to right in the positive direction. But in your line, the line is going from right to left which means that it is decreasing. Once you look at a four quadrant graph you would understand that there are negatives and positives.
To find it on a equation, your slope would have to be a negative slope to be decreasing.
The first one is all of them except D. The second one is C.
