Step-by-step explanation:
let the first number be x
let the second number be y
½ of the first number= ½x
Double the second; 2*y=2y
the sum... that is ½x+2y=14
Answer:
(-2, -1)
Step-by-step explanation:
This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.
The x-coordinate of the vertex is given by the formula
-b -4
x = --------- which here has the numerical value x = -------- = -2
2a 2
Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:
y = (-2)^2 + 4(-2) + 3 = -1
The vertex is at (-2, -1).
Answer:
-8/15
Step-by-step explanation:
So remember what sin, cos, and tan are.
sin = opposite/hypotenuse
cos = adjacent/hypotenuse
tan = opposite/adjacent
Now, using what we know of sin and cos, lets find opposite and adjacent to solve for tan.
Sin=-8/17
So this must mean that opposite is -8, and the hypotenuse is 17.
Next, lets find adjacent. Cos = 15/17
So this must mean that adjacent is 15, and again, hypotenuse is 17.
Now lets take the -8 of the opposite, and 15 of the adjacent, and get tan.
<u>Tan: -8/15. </u>
17 is not included in this whatsoever, since hypotenuse is not included in tan. And remember that it cannot be -15/8, since its opposite/adjacent, not adjacent/opposite.
Hope this helps!
