Answer:
Step-by-step explanation:
x^2 - 22x = 10
Next step is to complete the square on the left hand side of the equation and it would be balanced by adding the same number to the right side of the equation. It becomes
x^2 - 22x + (22/2)^2 = 10 + (22/2)^2
x^2 - 22x + (11)^2 = 10 + (11)^2
x^2 - 22x + (11)^2 = 10 + 121
x^2 - 22x + (11)^2 = 131
x^2 - 22x + 121^2 = 131
(x - 11)^2 = 131
Taking square root of both the left hand side and the right hand side of the equation, it becomes
x - 11 = ±√131
x - 11 = ±11.45
Adding 11 to the left hand side and the right hand side of the equation, it becomes
x - 11 + 11 = ±11.45 + 11
x = 11.45 + 11 or x = -11.45 + 11
x = 22.45 or x = - 0.45
Answer:
12
Step-by-step explanation:
In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).
Let's say the man have z money, mangoes price is 
z and the oranges price is 
z. The equation for money and number of mangoes and oranges will be:
money = mango price * mangoes bought + orange price * orange bought
z= z * x + z *y
1= x +y
-y= x -1
y= -1.5x + 30
y= 30 - 1.5x
If he want equal number of mango and orange, that mean y=x. The calculation will be:
y= 30 - 1.5x
x= 30 - 1.5x
x+ 1.5x = 30
2.5x= 30
x= 
= 12
The answer is C.)
S1 = 600 (divide by 2)
S2 = 300 (divide by 2)
S3 = 150 (divide by 2)
S4 = 75 (divide by 2)
S5 = 37.5
Answer:
X = -1
Step-by-step explanation:
In pic
(hope this helps can I pls have brainlist (crown) ☺️)
Answer:
w = 7m
l =9 m
Step-by-step explanation:
Let w = width
l = w+2
A = l*w
63 = (w+2) * w
63 = w^2 +2w
Subtract 63 from each side
0 = w^2 +2w - 63
Factor
What 2 numbers multiply to -63 and add to 2
9*-7 = -63
9-7 = 2
0 = (w +9) ( w-7)
Using the zero product property
w+9 =0 w-7 =0
w = -9 w = 7
Since we cannot have a negative length
w=7
l =w+2 =7+2 = 9
