Answer:
x = 5
Step-by-step explanation:
4x = 7 - 8x - 27
1) Combine like terms (7 and -27). So, 7 + (-27) = -20.
4x = 8x - 20
2) Subtract 8x from both sides of the equation. So, 4x - 8x = -4x.
-4x = -20
3) Divide both sides by -4. So, -20 / -4 = 5.
x = 5
Step-by-step explanation:
The x intercept is the point that touches the x axis
The y-intercept is the point that touches the y-axis
So...
The x-intercept = (0, -40)
The y-intercept = (0, 15)
Answer:
Step-by-step explanation:
3x2 - y2 = 9.........(1)
x2 + 2y2 = 38......(2)
Let x^2 = a and y^2 = b
:- the two equations becomes
3a - b = 9..........(3)
a + 2b = 38.......(4)
Multiplying (4) by 3
3a + 6b = 114........(5)
Substracting (3) from (5)
3a - 3a + 6b - (-b) = 114 - 9
6b +b = 105
7b = 105
b = 105/7
b = 15
And 3a - b = 9 putting b = 15
3a - 15 = 9
3a = 15+9
3a = 24
a = 24/3
a = 8
And
x^2 = a
x^2 = 8
x = √8
x = √(4×2)
x = 2√2
Also y^2 = b
y^2 = 15
y = √15
Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is

It was given that, the area of this base is 81 in²

Take positive square root:
