Answer:
60
Step-by-step explanation:
Cot is the same as 1/tan so:
By rearranging the equation, we get:
By taking the inverse tan, we get:
Answer:
xy = 1
k = 79
Step-by-step explanation:
Question One
The first and third frames look to me to be the same. I'll treat them that way.
y = x^2 Equate y = x^2 to the result of 2y + 6 = 2x + 6
2y + 6 = 2(x + 3) Remove the brackets
2y + 6 = 2x + 6 Subtract 6 from both sides
2y = 2x Divide by 2
y = x
Now solve these two equations.
so x^2 = x
x > 0
1 solution is x = 0 from which y = 0. This won't work. x must be greater than 0. So the other is
x(x) = x Divide both sides by x
x = 1
y = x^2 Put x = 1 into x^2
y = 1^2 Solve
y = 1
The second solution is
(1,1)
xy = 1*1
xy = 1
Answer: A
Question Two
square root(k + 2) - x = 0
Subtract x from both sides
sqrt(k + 2) = x Square both sides
k + 2 = x^2 Let x = 9
k + 2 = 9^2 Square 9
k + 2 = 81
k = 81 - 2
k = 79
Answer:
c. 5x + 25
Step-by-step explanation:
5( x + 5)
5×x + 5×5
5x + 25
Answer:
Step-by-step explanation:
Let the number of computers sold by Joe be represented by variable X
If Jonathan sold 5 times as many computers , it means he sold 5 times X= 5X
Total number of computers sold by both Jonathan and Joe = 78
Hence, X+5X =78
= 6X = 78
Divide both sides by 6 to solve for X;
X = 78/6
X = 13
And 5X = (5* 13) = 65
Therefore, Jonathan sold 65 computers while Joe sold 13
<span>The missing value that represents the rate for Marie is 1/60. As mentioned in the table, rate (r) is the part (p) per minute (t). Let's check if it works for Lea. If p = 1/80t, then r = (1/80t)/t = 1/80 * t/t = 1/80 * 1 = 1/80. So, the formula works. Now, calculate the rate for Marie. If p = 1/60t, then r = (1/60t)/t = 1/60 * t/t = 1/60 * 1 = 1/60</span>
