Y=2x+5.
y=2•{-2}+5=1
y=2•{-1}+5=3
y=2•0+5=5
y=2•1+5=7
y=2•2+5=9
So,x=-2, y=1
x=-1,y=3
x=0,y=5
x=1, y=7
x=2, y=9
Answer: √3
Step-by-step explanation:
Hi, since the situation forms a right triangle we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle (30°), the hypotenuse is the longest side of the triangle (in this case 2), and the opposite side is x. (not t or 2)
Replacing with the values given:
Sin 30 = x /2
Sin 30 (2) = x
x=1
Applying the Pythagorean theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (2) and a and b are the other sides.
2^2 = t^2 + 1^2
4= t^2 +1
4-1 = t^2
3 = t^2
√3 = t
Feel free to ask for more if needed or if you did not understand something.
We are comparing maxima. From the graph we know that the max of one graph is +2 at x = -2. What about the other graph? Need to find the vertex to find the max.
Complete the square of <span>h(x) = -x^2 + 4x - 2:
</span>h(x) = -x^2 + 4x - 2 = -(x^2 - 4x) -2
= -(x^2 - 4x + 4 - 4) - 2
=-(x^2 - 4x + 4) -2+4
= -(x-2)^2 + 2 The equation describing this parabola is y=-(x-2)^2 + 2, from which we know that the maximum value is 2, reached when x = 2.
The 2 graphs have the same max, one at x = -2 and one at x = + 2.
X+y=4 :x=4-y,yR
x-y=6:x=6+y,yR
The answer is a or b it’s one of them
