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andre [41]
3 years ago
10

. Use the grid on the right.

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0

Answer with Step-by-step explanation:

We are given that

O(0,0),P(3,-1) and Q(2,3) on the coordinate plane.

Mark point O(0,0), P(3,-1) and Q(2,3) on the graph and then join OP,PQ and OQ.

b.We have to find OP and OQ are perpendicular or not.

Slope-formula:m=\frac{y_2-y_1}{x_2-x_1}

By using the formula

Slope of OP=\frac{-1-0}{3-0}=-\frac{1}{3}

Slope of OQ=\frac{3-0}{2-0}=\frac{3}{2}

When two lines are perpendicular then

Slope of one line=-\frac{1}{slope\;of\;other\;line}

Slope of line  OP\neq -\frac{1}{slope\;of\;line\;OQ}

Hence, line OP and OQ are not perpendicular.

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Answer:

Larry would be wrong if 2(as a prime number) is part of the numbers that has 2 at its ones place, but if 2 is not there, then he is correct.

Step-by-step explanation:

Firstly, we need to know what a composite number is. In simple terms, a composite number is a number that is not a prime number. Meaning that, if a number has more than two factors (1 and itself which is the definition for a prime number), then the number is a composite number.

Larry says all numbers that have 2 in their ones place are composite. It depends, if 2 is the only number that makes up the digit, that is the number itself is 2, then it's obviously a prime number. But any other number having 2 at its ones place is definitely a composite number because the number has more than 2 factors; 1, itself and 2. Example:

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There are 10 marbles in a bag 1/5 are red and the others are blue. what is the ratio of red to blue?
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