The answer is 1
Step-by-step explanation:
look at the line going up and down
Let
A------> <span>(5√2,2√3)
B------> </span><span>(√2,2√3)
we know that
</span>the abscissa<span> and the ordinate are respectively the first and second coordinate of a point in a coordinate system</span>
the abscissa is the coordinate x<span>
step 1
find the midpoint
ABx------> midpoint AB in the coordinate x
</span>ABy------> midpoint AB in the coordinate y
<span>
ABx=[5</span>√2+√2]/2------> 6√2/2-----> 3√2
ABy=[2√3+2√3]/2------> 4√3/2-----> 2√3
the midpoint AB is (3√2,2√3)
the answer isthe abscissa of the midpoint of the line segment is 3√2
see the attached figure
Answer:
B: 39 degrees
Step-by-step explanation: The angles in a triangle add up to 180 degrees. 180 - 30 - 24 = 126.
126 = (3x-9).
126 - 9 = 117.
117 / 3 = 39
Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function

and the graph is shifted 3 units to the left, then we can think of a new unit u that is:

The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:

We can use this relation in the new graph and replace u as:

Answer:
12
Step-by-step explanation:
Change 3/4 to 12/16 by multiply both side by 4 (common denominator)
12/16 divide by 1/16 is 12.