Answer:
X=50
Step-by-step explanation:
x is the angle
180 - x is its suplement
90 - x is its complement
(180 - x) - 3(90 -x) = 10
180 - x -270 +3x = 10
-90 + 2x = 10
2x = 100
X = 50
Answer:
Step-by-step explanation:
Given is an equation in x and y as

We use implicit method to differentiate the above equation
18x-2yy'=0
y' = 9x/y
b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±
We separate the variables as

Take square root

Answer:
The other midpoint is located at coordinates (-9,-2) (Second option)
Step-by-step explanation:
<u>Midpoints</u>
If P(a,b) and Q(c,d) are points in
, the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by


We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.
The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:
x (other endpoint)= - 4 - 5 = - 9
So the other midpoint is located at (-9,-2) (Second option)
Answer:
He has driven 16 miles so far
Step-by-step explanation:
The unknown in your equation is the total length of Trey's drive, which we will call "x".
From the problem statement, you know that 12 is three-fourths of x so set up the following equation and solve for "x":
3/4(x) = 12
multiply both sides of the equation by 4/3 to isolate "x":
(4/3)(3/4)(x) = (12)(4/3)
therefore
x = (12)(4)/(3) = 16