<h3>
Answer: Choice C) 9m^8</h3>
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Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
Answer:
x < - 7
Step-by-step explanation:
Given
3(x - 2) > 5x + 8 ← distribute parenthesis on left side
3x - 6 > 5x + 8 ( subtract 3x from both sides )
- 6 > 2x + 8 ( subtract 8 from both sides )
- 14 > 2x ( divide both sides by 2 )
- 7 > x, hence
x < - 7
<em>Answer: 12</em>
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<em>Step-by-step explanation:</em>
<em>Equation for perimeter</em>
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Answer:
y = x - 2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this formula, "m" represents the slope and "b" represents the y-intercept. Before writing our equation in this form, we first need to find the slope. The slope can be found using the point-slope formula:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope, "x₁" and "y₁" represent the values from Point One, and "x₂" and "y₂" represent the values from Point Two. You can find the slope by plugging the values from the points into the equation and then simplifying.
x₁ = 0 x₂ = -3
y₁ = -2 y₂ = -5
y₁ - y₂ = m(x₁ - x₂)
(-5 - (-2)) = m(-3 - 0)
-3 = m(-3)
1 = m
Now that we have a value for the slope, we can use the values from either one of the points to solve for the y-intercept (from the slope-intercept form equation).
m = 1
x = 0
y = -2
y = mx + b
-2 = (1)(0) + b
-2 = 0 + b
-2 = b
Therefore, the equation of the line in slope-intercept form is:
y = x - 2
176 = 8 + 24x
168 = 24x
x = 168÷24
x = 7