Answer:
Step-by-step explanation:
Look at the second equation.
Add 6y to both sides:
Hence,
Substitute this into first equation:
Since y = -x,
Answer:
3.75
Step-by-step explanation:
g(x)=60(1-0.5)^x, g(4)
g(4)=60(1-0.5)^4
g(4)=60(.5)^4
g(4)=60(0.0625)
g(4)=3.75
NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹
Answer:
y = √(4x - 8) - 3
Step-by-step explanation:
y = 1/4(x + 3)² + 2
To find the inverse, switch the places of the x and y.
x = 1/4(y + 3)² + 2
Solve for y.
x - 2 = (1/4(y + 3)² + 2) - 2
x - 2 = 1/4(y + 3)²
4(x - 2) = 4(1/4(y + 3)²)
4x - 8 = (y + 3)²
√(4x - 8) = √((y + 3)²)
√(4x - 8) = y + 3
√(4x - 8) - 3 = (y + 3) - 3
√(4x - 8) - 3 = y
y = √(4x - 8) - 3
<span>4 1/2 + 1 1/2 + 1 + 2 + 4
</span><span>4 1/2 + 1 1/2 + 7
</span><span>4 + 1 + 7 + 1
13 <----------------Answer</span>
