Answer:
The perimeter is 54 square units
Step-by-step explanation:
You find the sum of 12+12 and that's 24, and 15+15, and that is 30, and 30+24 is 54.
Hope this helped!
Answer:
D
Step-by-step explanation:
A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.
Let's examine each choice.
(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.
(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.
(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.
(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.
Therefore, the answer is D.
Answer:

Step-by-step explanation:
we are given a quadratic function

we want to figure out the minimum value of the function
to do so we need to figure out the minimum value of x in the case we can consider the following formula:

the given function is in the standard form i.e

so we acquire:
thus substitute:

simplify multiplication:

simply division:

plug in the value of minimum x to the given function:

simplify square:

simplify multiplication:

simplify:

hence,
the minimum value of the function is -155
Answer:
D
Step-by-step explanation:
(4/5)x*5=8*5
4x=40
4x/4=40/4
x=10
Answer:
Step-by-step explanation:
If a line is parallel to another it must have the same slope
The slope/intercept form of a line is y = mx + b where m is the slope and b the y intercept
The line y = 2x + 5 has slope 2
So the slope of the line that passes through (2,3) must also have the slope 2
We have
y = 2x + b; Substituting x =2, y =3 in this equation gives us
3 = 2 (2) + b or b = -1
Hence the equation of the line is
y = 2x -1
Cross-check
Substitute for x = 2 ==> y = 2(2) - 1 = 3 which is consistent