Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
For this case what we must do is a composition of functions which will be given by:
m (x) = 4x - 11
n (x) = x - 10
We have then:
m [n (x)] = 4 (x - 10) - 11
Rewriting the function:
m [n (x)] = 4x - 40 - 11
m [n (x)] = 4x - 51
Answer:
a. m [n (x)] = 4x - 51
A is correct:
Let volume v, length l, and h height.
v= (l²h)/3
v=(x²9)/3
v=3x²
7q^2 - 28 = 0
7q^2 = 28
q^2 = 4
q = +/-2
solution set is {-2,2}
Answer:
They sold 16 French fries.
Step-by-step explanation:
Let x represent the number of large burgers that they sold on that day.
Let y represent the number of French fries that they sold on that day.
fast food sells large burgers for five dollars each and french fries for three dollars each that day and their total sales was $98.It means that
5x + 3y = 98 - - - - - - - - - - - - - -1
they sold six more french fries than burgers. It means that
y = x + 6
Substituting y = x+ 6 into equation 1, it becomes
5x + 3(x + 6) = 98
5x + 3x + 18 = 98
8x = 98 - 18 = 80
x = 80/8 = 10
y = x + 6 = 10 + 6
y = 16
