Answer:
<em>p</em> = 2
Step-by-step explanation:
Happy to help.
When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:
2(3 + 4) = 2(7), or 14.
But, the two can also be distributed into both numbers in the parenthesis, like this:
2(3 + 4) = 2*3 + 2*4
That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(<em>p</em> - 4), or the left side of your equation you presented.
9(<em>p</em> - 4) = -18
9*<em>p</em> - 9*4 = -18
9<em>p</em> - 36 = -18
Add 36 on both sides to isolate the variable (in this case, <em>p)</em>
9<em>p</em> = -18 + 36
You can also write it like this; 9<em>p</em> = 36 - 18
9<em>p</em> = 18
Divide 9 to isolate <em>p</em>
<em>p</em> = 2
So, we would get (<em>p</em> = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!
Good luck!
Answer:
y=x is the correct answer
Explanation:
A linear equation is an equation between two variables that gives a straight line when plotted on a graph.
Why the other ones are incorrect:
y=√x gives a radical function graph
y=x^3 gives a cubic graph
y=x^2 gives a parabola
I don’t have a very detailed explanation, however the answer should be “A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left”.
You can clearly see a 90° angle here, it’s obvious. Also, the polygon switch counterclockwise. so, you can see.
hope I helped ^^
Answer:
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
