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Can anyone help me out with my homework?
2 answers:
We have some number x that we do two things to it in this exact order: divide by 3, add 8.
To isolate x or get it all by itself, we have to undo what is happening to x. We follow the order mentioned above in reverse so that we undo everything properly. Undo the "add 8" by subtracting 8 from both sides. Then you undo the "divide by 3" by multiplying both sides by 3. Check out the attached image for details and the steps on how to solve. The final answer is x = 18
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Answer:
number o students bought pennants = 18
number of student bought fancy ones=12
Step-by-step explanation:
Let x be the number o students bought pennants
and y be the number of student bought fancy ones
total 30 students
Plain pennants cost $4 each and fancy ones cost $8 each.
Substitute 30-x for y in second equation
Subtract 240 from both sides
divide both sides by -4
x=18
number o students bought pennants = 18
number of student bought fancy ones=12
Question 1:
The line segment with measure of 14 units is tangent to the circle, meaning that it is perpendicular to the radius.
Thus, we have a right triangle with legs of 14 and x and a hypotenuse of x+10.
Use the Pythagorean theorem to solve for x.
Subtract both sides by x^2
Subtract both sides by 100
Divide both sides by 20
The third choice is your answer.
Question 2:
This question actually has 3 answers.
The answers to this question are the first, second, and fourth choice.
The first choice is correct because this is a property of a tangent line.
The second choice is also correct because this is also a property of the tangent line.
The third choice is incorrect because the tangent line only intersects the radius at the end of the radius.
The fourth choice is correct because that's what a tangent is.
The fifth choice is incorrect because that's actually a property of a secant, not a tangent.
The last choice is incorrect because there are infinitely many lines tangent to a single circle.
The line segment with measure of 14 units is tangent to the circle, meaning that it is perpendicular to the radius.
Thus, we have a right triangle with legs of 14 and x and a hypotenuse of x+10.
Use the Pythagorean theorem to solve for x.
Subtract both sides by x^2
Subtract both sides by 100
Divide both sides by 20
The third choice is your answer.
Question 2:
This question actually has 3 answers.
The answers to this question are the first, second, and fourth choice.
The first choice is correct because this is a property of a tangent line.
The second choice is also correct because this is also a property of the tangent line.
The third choice is incorrect because the tangent line only intersects the radius at the end of the radius.
The fourth choice is correct because that's what a tangent is.
The fifth choice is incorrect because that's actually a property of a secant, not a tangent.
The last choice is incorrect because there are infinitely many lines tangent to a single circle.