Answer:
The roots of the equation are
and 
Step-by-step explanation:
The roots of a quadratic equation y = ax² + bx + c are the values of x at y = 0
∵ y = x² + 2
- To find the roots of it equate y by 0
∴ 0 = x² + 2
- Switch the two sides
∴ x² + 2 = 0
- Subtract 2 from both sides
∴ x² = -2
- Take √ for both sides
∴ x = ± 
- There is no square root for negative numbers
∴ There is no real roots for this equation but there are imaginary roots
∵ 
∴ 
- Substitute
by 
∴ 
∴ 
∴ The roots of the equation are
and 
Answer:
C. 50cm
Step-by-step explanation:
40 * 10 = 400miles
5 * 10 = 50cm
20% of the participants are girls and got a medal, and 33% of the girls got a medal.
<h3>What percent of the participants were girls who received medal?</h3>
First, we know that 40% of the participants were boys, so the other 60% were girls.
We know that 50% of the boys got a medal, so the percentage (in decimal form) of participants that are boys and got a medal is:
P = (0.4)*(0.5) = 0.2
So, 20% of the participants are boys and got a medal.
We know that the number of girls that got a medal is the same as the number of boys, then we also have that 20% of the participants are women who got a medal.
Then if the percentage of girls that got a medal is x (in decimal form), we must have that:
Q = (0.6)*(x) = 0.2
x = 0.2/0.6 = 0.33
x = 0.33
This means that 33% of the girls got a medal.
If you want to learn more about percentages:
brainly.com/question/843074
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Answer:

Step-by-step explanation:
Let us assume that,
x represents the number of sq. yards of fabric and
y represents price of the fabric.
As the unit price of the fabric i.e cost per sq. yard of fabric is $1.25, so for each number of sq. yard of fabric, the cost for that much of fabric will be multiple of 1.25 of that number.
i.e 
Here, the rate of change is 1.25. So for each increase in x, the amount of increase in y is 1.25
The table along with the graph have been attached below.