Answer:
y = 3^(1 + x)
Step-by-step explanation:
Notice that each time x increases by 1, y increases by a factor of 3.
Thus, the required equation has the form y = 3^x.
Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:
y = 3^(1 + x)
Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)
If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)
Answer:
x=70
Step-by-step explanation:
it's 70 because 50 and 20 is proportional to x
y - 1 = ⁵/₆(x - 4)
y - 1 = ⁵/₆(x) - ⁵/₆(4)
y - 1 = ⁵/₆x - 3¹/₃
+ 1 + 1
y = ⁵/₆x - 2¹/₃
⁻⁵/₆x + y = ⁵/₆x - ⁵/₆x - 2¹/₃
-6(⁻⁵/₆x + y) = -6(-2¹/₃)
-6(⁻⁵/₆x) - 6(y) = 14
5x - 6y = 14
Hi, there!
_____
To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.
Here,
Hypotenuse (the longest side): c
We know that
So, we can substitute our parameters, and solve for c.
square 2 and 28
add the numbers
square root both sides
Hope the answer - and explanation - made sense,
happy studying!!
Hello!
If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.
This means that the new equation must have a slope of -1/3.
Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.
y = -1/3x + b (6, 5)
5 = -1/3(6) + b
5 = -2 + b (add 2 to both sides)
7 = b
Therefore, the equation of the line is y = -1/3x + 7.
