Answer:
Step-by-step explanation:
So,it would be easier to simplify the right equation, so when I say "the right equation", I mean the one I will make right now. It is 8x+9. So the first problem is 8x+9=x+?. Well, if there are no solutions, the slopes have to be the same, and the y-int doesn't matter. So the answer would be + 7x because that will make the x an 8x. If there is one solution, then the slope has to be different. So literally anything but 7x will work. Even constants. If there are infinitely many solutions, then the equations have to be the same. Meaning, you would have to add 7x and 9 to make the left equation the same as the right.
Answer:
p = 5 and q = -3
Step-by-step explanation:
nth term = pn^2 + qn where n is the sequence number.
first term = p + q = 2.....................(1)
2nd term = p(2)^2 + 2n = 14
4p + 2q = 14
2p + q = 7 .......................(2)
Subtract equations (2) -(1) :-
p = 7 - 2 = 5
and q = 2 - 5 = -3
∛125x^21y^24
Split them up:
∛125 * ∛x^21 * ∛y^24
∛125 = 5
∛x^21 = x^7 21/3 = 7
∛y^24 = y^8 24/3 = 8
The simpler form of the radical expression: ∛25x^21y^24 is: <span>D. 5x^7y^8</span>
Answer:
B: 81π inches
Step-by-step explanation:
The formula for the circumference of a circle is C = πd and the formula for the area of a circle is A = πr²
- The formula for the circumference of a circle can also be written as C = 2πr since the diameter is equal to double the radius (d = 2r)
- So we need to solve for r since that is the variable we are missing in order to solve for the area
Plugging in our known values to the circumference formula we have:
- 18π = 2πr
- Then dividing both sides by 2π we have 9 = r
Now that we have solved for the radius, we can plug in this value to the area formula:
