The equation has no solution because:
5(n+10)=5n+10n
5n+10n=5n+10n
I subtract 5n from both sides
10n=10n
Only one side is supposed to have the variable which is n, so the equation has no solution.
Answer:
two possible combinations are
- 7 cups of lemonade and 11 cupcakes
- 10 cups of lemonade and 5 cupcakes
Step-by-step explanation:
Your answer would be 91.1 units².
We can split this shape into a trapezium and a semicircle, and then find the area of both and add them.
To find the area of a trapezium, the formula is
(a + b)/2 × h, which means we do 14 (the length of AD) + 8 (the length of BC) = 22, and 22/2 = 11. Then we multiply 11 by the height of the trapezium, which is 6 because 10 - 4 = 6. This gives us the area of the trapezium as 66 units².
To find the area of a semicircle, the formula is πr²/2, and the radius is 4 because the diameter is 8 (16 - 8 = 8). This means we do π4²/2 = 16π\2 = 8π = 25.13.
Then we need to add together 66 and 25.13, which equals 91.13, or 91.1 to the nearest tenth.
I hope this helps!
Answer:
Lines are described as connecting curve joining two points.
Step-by-step explanation:
In coordinate geometry, graph theory, we have points which do not occupy any space.
Any two points can be connected by a curve or a straight line. If two points are joined by a straight line, then we have the slope of the line i.e. the tangent of angle of the line with x axis is constant.
Straight lines would be of the form ax+by+c=0
Hence in equation form, lines would have equations in linear form of both x and y.
Lines have constant slope throughout the region.
Lines can be extended from -infinity to +infinity
Any two distinct points can make a line, but 3 points need not lie on the same line.
(3,21)(5,35)
slope = (35 - 21) / (5 - 3) = 14/2 = 7
possible answers are :
y - 21 = 7(x - 3)
or
y - 35 = 7(x - 5)
or
y - 49 = 7(x - 7)
or
y - 63 = 7(x - 9)