Y = x^2 + 2x - 1 = x^2 + 2x + 1 - 1 - 1 = (x + 1)^2 - 2
The vertex of a parabola given by y = a(x - h)^2 + k is (h, k).
Therefore, the vertex of y = (x + 1)^2 - 2 is (-1, -2)
Answer:
144 ft^2
Step-by-step explanation:
property of 45-45-90 triangle: side lengths are 12rt2
12rt2*12rt2/2=144
Answer:
The points are sqrt(164) or 2sqrt(41) units apart.
Explanation:
You didn't provide the options in your question. But to find the distance, you need to use the distance formula.
d=sqrt((y2-y1)^2 + (x2-x1)^2)
d is the distance, and (x1, y1) and (x2, y2) are the points.
Use point J (-4,-6) for (x1,y1) and point K (4,4) for (x2, y2).
d=sqrt((4-(-6))^2 + (4-(-4))^2)
=sqrt(10^2 + 8^2)
=sqrt(100+64)
=sqrt(164)=2sqrt(41)
You can compare this to the answer options and find the closest. Hope I could help! :)
Answer: Your brother is 15 years old right now.
Step-by-step explanation:
Let be "m" your currently age and "b" your brother's currently age.
Knowing that right now he is three times (this indicates multiplication) as old as you, you can write the following equation:

In five years your age will be:

And your brother's age will be:

Then, if in five years, your brother will be twice as old as you, you can set up the second equation:

Then, the System of equations is:

Apply the Substitution method and substitute the first equation into the second one and solve for "m":

Substitute the value of "m" into the first equation and evaluate in order to find "b":
