slope formula: y2-y1/x2-x1
Given the equation:
Let's determine the trigonometric identity that you could be used to verify the exquation.
Let's determine the identity:
Apply the trigonometric identity:
Replace cosx for 1/secx
Thus, we have:
The equation is an identity.
Therefore, the trignonometric identity you would use to verify the equation is:
ANSWER:
For this case we have the following equation:
Rewriting we have:
Dividing by 2 to both sides of the equation:
We apply the quadratic formula:
We have to:
Substituting:
Thus, we have two roots:
ANswer:
Given:
The radius of smaller cylinder is 2 m.
The radius of larger cylinder is 8 m.
The height of smaller cylinder is 14 m.
Both cylinders are similar.
To find:
The height of larger cylinder.
Solution:
It is given that the both cylinders are similar to each other.
We know that the corresponding sides of similar figure are proportional.
Let height of the larger cylinder is .
On cross multiplication, we get
Therefore, the height of the larger cylinder is 56 m.
159 children and 351 adults swam at the public pool that day.
Step-by-step explanation:
Total people = 510
Total receipts worth = $1116.00
Cost for one child = $1.50
Cost for one adult = $2.50
Let,
x be the number of children.
y be the number of adults.
According to given statement;
x+y=510 Eqn 1
1.50x+2.50y=1116.00 Eqn 2
Multiplying Eqn 1 by 1.50
Subtracting Eqn 3 from Eqn 2;
Putting y=351 in Eqn 1
159 children and 351 adults swam at the public pool that day.
Keywords: linear equations, subtraction
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