Answer:
m < B = 22 degrees.
Step-by-step explanation:
There are 180 degrees in a triangle so we have the equation:
x + 120 + x + 16 = 180
2x = 180 - 120 - 16 = 44
2x = 44
x = 22
m < B = 22 degrees.
In order to find the slope of a line, u must use the slope formula. Which is (y2-y1/x2-x1). For example if you had a set of coordinates that are (6,4) and (2,8) you would first sub the 8 from4 which gives you 4. The u do the same with 2 and 6 which gives u 4. After that you divide 4 by 4. and your answer is 1
Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.
8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.
1/3 * 8/8 = 8/24
3/8 * 3/3 = 9/24
There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.
Hope that helped.
Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
The answer is A. because if u were to use ur place value it would line up.
