A) 36 means that there are 36 students taking Italian and music AT SAME TIME
b) 59 means that there are 59 students taking only music
c) 48 means that there are 48 students taking neither Italian nor music
d) Italian OR Music = 97 + 36 +59 = 192
e) Do not take Italian: 48 + 59 = 107
Answer: The slope is m = 1
Step-by-step explanation:
-To find the slope, you need the slope formula:
where you have
and
on the equation.
-Next, you put the two points to the equation:

-And then you solve the equation:



Answer:
9^7
Step-by-step explanation:
Answer:
<h3>
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
Answer:
141 square inches
Step-by-step explanation:
Area of a triangle: Base*Height*1/2
Area of a trapezoid: Height * (Base1 +Base2) / 2
Triangle Base = 6
Triangle Height = 8
6*8*1/2 = 24 square inches
Trapezoid Height = 9
Trapezoid Base1 = 16
Trapezoid Base2 = 10
9*(16+10) / 2 = 117 square inches
Total = Area of triangle + Area of trapezoid
Total = 24 + 117 = 141 square inches