Answer:
Step-by-step explanation:
5x + 8y = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8y' to each side of the equation.
5x + 8y + -8y = 24 + -8y
Combine like terms: 8y + -8y = 0
5x + 0 = 24 + -8y
5x = 24 + -8y
Divide each side by '5'.
x = 4.8 + -1.6y
Simplifying
x = 4.8 + -1.6y
Answer:
-1 * (-3)^2 - 12 = -1 * 9 -12 = -9 - 12 = -21
Step-by-step explanation:
Answer:
y = x + 1
Step-by-step explanation:
This line passes through (-1, 0) and (0, 1) As we move from the first point to the second, x increases by 1 and y also increases by 1. Therefore, the slope of this line is m = rise / run = 1 / 1, or m = 1.
Start with the general equation of a line y = mx + b. Substitute 1 for m and 1 for b. Then the equation of the line shown is:
y = x + 1
The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.
From the graph:
The two points are (-4, -2) and (4, 5)
The line equation passing through two points:
[y - 5] = (5+2)/(4+4)[x - 4]
y - 5 = 7/8[x - 4]
8y - 40 = 7x - 28
8y = 7x + 12
Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
Learn more about the geometric transformation here:
brainly.com/question/16156895
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Answer:
75 m³
Step-by-step explanation:
From the question given, we obtained the following data:
For figure A:
Base length (Bₐ) = 2 m
Volume (Vₐ) = 30 m³
For figure B:
Base length (B₆) = 5m
Volume (V₆) =?
Since both shapes are similar, the volume of figure B can be obtained as follow:
Bₐ/B₆ = Vₐ/V₆
2/5 = 30/V₆
Cross multiply
2 × V₆ = 5 × 30
2 × V₆ = 150
Divide both side by 2
V₆ = 150 / 2
V₆ = 75 m³
Therefore, the volume of figure B is 75 m³