Answer:
24 kilometers.
Step-by-step explanation:
The shortest path between two points is a straight segment that connects the two points.
Refer to the diagram attached. The 6-km segment and the 8-km segment are normal to each other. Together with the segment that joins the library and the house, the three segments now form a right triangle.
- The two shorter segments are the two legs, and
- The longer segment that joins the library and the house is the hypotenuse.
The length of the hypotenuse can be found with the Pythagorean Theorem.
.
The length of the round-trip will equal to the sum of the length of the three segments:
.
2/X^2=4/X+1 times by both denominators
2(x+1)=4(x^2)
2x+2=4x^2
4x^2-2x-2=0
(2x+1)(2x-2)=0
x=2x+1 or 2x-2
x=-1/2 or 1
Answer:
The following triangle is equilateral triangle. Solve for the
unknown variable. y=17 is the answer
Answer:
(- 1/2 , √3/2)
Step-by-step explanation:
t=20π/3
t' = 20π/3 - 6π = 2π/3 (120°) ... 2nd quadrant
If we start from (1,0) of unit circle, the coordinate of terminal point (x,y)
OF/OE = - cos 60° = x / 1 = - 1/2
FE/OE = sin 60° = y/1 = √3/2
X=7 What you can do is look at the first two values given, and make them x1 and y1. Then your next value here is y2.
So x1 is 14, and y1 is 3. y2 becomes 6. X2 is unknown.
Then make the formula: x1/y2 is equal to x2/y1
(You are setting two fractions equal to each other)
That makes 14/6=X/3. When we cross multiply, we find that x=7.