Answer: 129
Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr² (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)
Area=3.14(5)²
=3.14(25)
=78.5
But since this is just a half circle, divide this by 2
That will get 39.25
Then add this to the area of the rectangle (L*W) which is 90
That will get about 129
Coordinate points on line(-3,-1) and (3,3)
Parallel lines have same slope
so
m = (3+1)/(3+3) = 4/6 = 2/3
Answer
B. 2/3
RemarkThe very first thing you should do with a question like this is get the graph. Then you will know what you are looking for. I have provided you with such a graph. Your table should center around -2 ≤ x ≤ -1
So let's set up a table and see what we get. Start with y = x + 5
x x + 5
-1 4
-1.25 3.75
-1.5 3.5
-1.75 3.25
-2 3
Do the same thing for - (3)^x + 4 See below to see how this is entered your calculator
x -(3)^x + 4
-1 3.66
-1.25 3.75
-1.5 3.8
-1.75 3.85
-2 3.89
ConclusionWhen x = - 1.25 y = 3.75 for both graphs. <<<< Answer
FootnoteYou may not be familiar with how to put this in your calculator. This is the way I would do it. I'm only doing it for y = -(3^x) + 4
Let x = - 1.25
3
^ Note your calculator might have x^y or y^x. You'll have 1 of the three.
1.25
+/-
=
X
1
+/-
= At this point you should have -0.25
+
4
=
That gives you 3.75
3 : 8....can be written as 3/8
12 lbs of apples were sold
apples / oranges : 3/8 = 12/x
this is a proportion, so we cross multiply
(3)(x) = (12)(8)
3x = 96
x = 96/3
x = 32 <=== 32 lbs of oranges
notice that 3/8 = 12/32....these are equivalent fractions....because that is what proportions are, equivalent fractions