Answer:
how do we know if you are not a hacker
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
There is no x in the equation, so I will assume solving for m
Distribute:
3m + 21 = 6m + 12
Subtract 3m and 12
3m = 9
Divide by 3
m = 3
<h3>
Answer: (c * d)(x) =
4x^3 + 18x^2 - 10x</h3>
Work Shown:
I'm assuming the dot means multiplication. If so, then,
(c * d)(x) = c(x)*d(x)
(c * d)(x) = [ c(x) ] * [ d(x) ]
(c * d)(x) = (4x-2)(x^2+5x) .... substitution
(c * d)(x) = 4x(x^2+5x) - 2(x^2+5x) ... distribute
(c * d)(x) = 4x(x^2)+4x(5x) - 2(x^2)-2(5x) ... distribute again
(c * d)(x) = 4x^3 + 20x^2 - 2x^2 - 10x
(c * d)(x) = 4x^3 + 18x^2 - 10x
Answer:
There is exactly 1 solution and it is a double root.
Step-by-step explanation:
To find this, factor the equation and solve.
x^2 + 10x - 25 = 0
(x - 5)(x - 5) = 0
Now that we have this factored, we can set each parenthesis equal to 0 and solve separately.
x - 5 = 0
x = 5
x - 5 = 0
x = 5
Because there are two of the exact same answer, we know it to be a double root.
Answer:
9
Step-by-step explanation:
Because line PQ and line PR are both tangent to circle S, it would result in them being equal. So first to find PQ, you would have to find the value of variable x. To do this you would set both equations equal to each other and solve
6x - 9 = 2x + 3
-2x -2x
4x - 9 = 3
+9 +9
4x = 12
x = 3
Now you have to substitute 3 back into the equation for PQ:
6(3) - 9
18 - 9
= 9
Resulting in PQ = 9, to check your answer, take the value of x (3) and substitute it into PR and you should also get 9
2(3) + 3
6 + 3
= 9
