Answer:
X = 55°
Step-by-step explanation:
You can tell if a pair of angles, in this case, is 90° if you see the red box in the corner of the angle.
The pair of angles in the picture are complementary angles, which add up to 90°. Therefore, subtract 35 from 90 to find the value of X which is 55°.
Hope this helped! <3
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
To find out if a number is prime you have to find it's factors. if the factors are only 1 and that number it's prime, if the number has other factors then it's composite. hope i helped! have a great day.
