Answer:
y+3 = 1/2 (x-4)
Step-by-step explanation:
We can write the equation in point slope form
y-y1 = m(x-x1)
The slope is m and the point is (x1,y1)
y - -3 = 1/2(x -4)
y+3 = 1/2 (x-4)
____ is equal to 1.5. You can solve this by dividing both sides of the equation by 6 (doing it on the side with the missing number gets rid of it so it just leaves our mystery number or variable) and 9/6 is 1.5.
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
Answer:
4
Step-by-step explanation:
We'll do two things here. First remember that when a number is raised to an exponent, and the result is raised to another exponent, you can simply multiply those exponents and apply them to the base. So we can multiply -1/2 and -2/3, giving us 1/3, which is what we'll raise 64 to.
The other thing to remember is that a fractional exponent is the same as a root of that base. So raising a number to the power of 1/3 just means we want the cube root of that number.
Applying those and we get:
