Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
The general vertex form is this:
v(x) = a (x-h)2 + k
where (h,k) is the coordinates of the of vertex.
and a indicates the widening or shrinking of the function compared to another parabolic function. If a become bigger, the graph becomes narrower. If a becomes negative, the graph is reflected over the x-axis.
Comparing f(x) = x2 with g(x) = -3(x+6)2 + 48, we have the following transformations:
The graph is reflected over the x-axis
The graph is made narrower.
The graph is shifted 6 units to the left.
The graph is shifted 48 units up.
From the choices we only have:
<span>The graph of f(x) = x2 is made narrower</span>
For 175 : 250 divide them both by 25 to get
<
25 goes into 175 > 7 times > 25 into 250 is 10 times! >
For the second one 16 : 40 just divide the top and bottom by 8 since 8 is a common factor of both which will give us
.
8 goes into 16, 2 times and 40, 5 times.
Here, take any points (0, -2) ((1, -6)
Now, slope (m) = -6 - (-2) / 1 - 0 = -6+2 / 1 = -4
Now, y - y1 = m(x - x1)
y - (-6) = -4(x - 1)
y + 6 = -4x + 4
y = -4x - 2
In short, Your Equation would be y = -4x - 2
Hope this helps!
Answer:
The answer for y=2x−2 is x=y/2+1
Step-by-step explanation:
