Answer:
axis of symmetry is 
.
The ordered pair of the vertex is 
.
Step-by-step explanation:
Your function is a quadratic.
Compare 
to 
.
You should see that 
.
The x-coordinate of the vertex or the axis of symmetry since the axis symmetry goes through the vertex can be found by computing 
.
So here we go!
The axis of symmetry is 
.
When you write your axis of symmetry be sure to write it as an equation.
That is the axis of symmetry is .
Now that was also the x-coordinate of your vertex. To find the corresponding y-coordinate of the vertex, plug your value for 
into
.
Put into calculator:
when
The ordered pair of the vertex is .
Answer:
100%+15% = 115%
proportionally:
x - 100%
161 - 115%
x = (161 * 100%) / 115% = 140
It is (a) -5/3
Slope could also mean gradient, so the gradient of a line is always the number in front of x in the equation y=Mx+c ... Hope it was helpful:)
Answer:
Step-by-step explanation:
The midpoint of two coordinates (x1, y1) and (x2, y2) is expressed as;
M(X,Y) = {(x1+x2)/2, (y1+y2)/2}
Given the points A(h, k) and B(h,j)
x1 = h, y1 = k, x2 = h, y2 = j
Substitute into the formula;
M(X,Y) = {(x1+x2)/2, (y1+y2)/2}
M(X,Y) = {(h+h/2, (k+j)/2}
M(X,Y) = {(2h)/2, (k+j)/2}
M(X,Y) = {h, k+j/2}
hence the coordinates of point M is {h, k+j/2}
Answer:
132 square units
Step-by-step explanation:
First, I would figure out the areas of the right triangles
Left triangle: 1/2(6x8) =24 units²
Right triangle: 1/2(8x3) = 12 units²
entire rectangle between triangles: 12x8 = 96 units²
add all areas together: 24+12+96 = 132 units²
