Step-by-step explanation:
Simple
We will subtract
21 - 16 = 5
So 5 more students can join the class
35
Area of rectangle
21m^2
Area of one triangle
divide length of 7 by 2 (3.5)
gives you length b (unknown side that is not hypotenuse)
then multiply by width of triangle (4)
3.5 * 4 = 14
and in this situation there is no need to divide by two, because you essentially have one full square from both the triangles. this only works when both triangles are the same.
add the area of the rectangle
14+21= 35
35m^2
Answer: M'(2, - 5), L'(-2, -5), j'(-4, - 1)
Step-by-step explanation:
When we do a reflection over a given line, the distance between all the points (measured perpendicularly to the line) does not change.
The line is y = 1.
Notice that a reflection over a line y = a (for any real value a) only changes the value of the variable y.
Let's reflect the points:
J(-4, 3)
The distance between 3 and 1 is:
D = 3 - 1 = 2.
Then the new value of y must also be at a distance 2 of the line y = 1
1 - 2 = 1
The new point is:
j'(-4, - 1)
L(-2, 7)
The distance between 7 and 1 is:
7 - 1 = 6.
The new value of y will be:
1 - 6 = -5
The new point is:
L'(-2, -5)
M(2,7)
Same as above, the new point will be:
M'(2, - 5)
Answer:
Each apple costs $1.20 and each orange costs $1.
Step-by-step explanation:
Let x represent the number of apples and y represent the number of oranges.
For the fruit you bought, 5 apples and 4 oranges, we have 5x+4y. This costs $10. This gives us the equation
5x+4y = 10
For the fruit your friend bought, 5 apples and 5 oranges, we have 5x+5y. This costs $11. This gives us the equation
5x+5y = 11
Together we have the system
We will eliminate x by subtracting the bottom equation from the top:
Divide both sides by -1:
-1y/-1 = -1/-1
y = 1
Each orange costs $1.
Substitute this into the first equation:
5x+4(1) = 10
5x+4 = 10
Subtract 4 from each side:
5x+4-4 = 10-4
5x = 6
Divide both sides by 5:
5x/5 = 6/5
x = 1.2
Each apple costs $1.20.
