This is currently your equation since you do not know "b"
y = 2/3x + b
To find "b" you plug in the point (4,2) into the equation.
y = 2/3x + b
2 = 2/3(4) + b
2 = 8/3 + b (subtract 8/3 on both sides to get "b" by itself)
2 - 8/3 = b (make the denominators the same)
6/3 - 8/3 = b
-2/3 = b
So: y= 2/3x - 2/3
Answer:
x = 50.8°
Step-by-step explanation:
We are given:
1.) Angle x
2.) Side opposite to angle x
3.) Hypotenuse
Therefore to find the angle x, we will use the sin inverse:
<em>Sin(x) = Opposite / Hypotenuse</em>
Sin(x) = 6.2/8
x = Sin⁻¹(6.2/8)
<u>x = 50.8°</u>
Hope this helps!
Answer:
See below.
Step-by-step explanation:
The square root of a number is a number than when multiplied by itself, you get the original number.
For example, the square root of 4 is 2 since 2 * 2 = 4, but the square root of 4 is also -2 since (-2) * (-2) = 4. Since the product of 2 negative numbers is positive, and the product of two positive numbers is also positive, each positive integer has two square roots, one positive and one negative.
The cubic root of a number is a number that when you cube you get the original number. To cube a number, you must find the product of 3 equal numbers. For example, the cubic root of 8 is 2 since 2 * 2 * 2 = 8. The cubic root of 8 cannot be -2 since (-2) * (-2) * (-2) = -8, not 8. When you multiply 3 positive numbers together, the product is positive. When you multiply three negative numbers together, the product is negative. Because of this, a positive number has a positive cubic root, and a negative number has a negative cubic root. A positive integer has only one cubic root.
Answer:
$135
Step-by-step explanation:
6.75 x 5 = 33.75 (to find the amount of money he earned each night)
33.75 x 4 = 135 (amount earned per night by the number of nights worked)
$135 (final answer)
