Answer:
y = -5x - 2
Step-by-step explanation:
equation formula: y = mx + c
m = -5
-12 = -5(2) + c
c = -2
⇒ y = -5x - 2
Answer:
- <u><em>A dilation by a scale factor of 4 and then a reflection across the x-axis </em></u>
Explanation:
<u>1. Vertices of triangle FGH:</u>
- F: (-2,1)
- G: (-3,3)
- H: (0,1)
<u>2. Vertices of triangle F'G'H':</u>
- F': (-8,-4)
- G': (-12,-12)
- H': (0, -4)
<u>3. Solution:</u>
Look at the coordinates of the point H and H': to transform (0,1) to (0,-4) you can muliply each coordinate by 4 and then change the y-coordinate from 4 to -4. That is<em> a dilation by a scale factor of 4 and a reflection across the x-axis.</em> This is the proof:
- Rule for a dilation by a scale factor of 4: (x,y) → 4(x,y)
(0,1) → 4(0,1) = (0,4)
- Rule for a reflection across the x-axis:{ (x,y) → (x, -y)
(0,4) → (0,-4)
Verfiy the transformations of the other vertices with the same rule:
- Dilation by a scale factor of 4: multiply each coordinate by 4
4(-2,1) → (-8,4)
4(-3,3) → (-12,12)
- Relfection across the x-axis: keep the x-coordinate and negate the y-coordinate
(-8,4) → (-8,-4) ⇒ F'
(-12,12) → (-12,-12) ⇒ G'
Therefore, the three points follow the rules for <em>a dilation by a scale factor of 4 and then a reflection across the x-axis.</em>
For this case we have the following equation:

Where,
D: t<span>he density of a particular substance
v: </span><span> the volume of the substance
</span>When replacing v = 0 in the given equation we have:

This means that as the function acquires values very close to zero, the density acquires a very large value.
Answer:
as the volume approaches 0:
<span>
The density approaches infinity.
</span>
option 1<span>
</span>
Answer:
the third one ithink
Step-by-step explanation:
Answer:
<h2>
A = (1,-5)</h2>
Step-by-step explanation:
Let the midpoint of the two points A (x₁, y₁) and B(-5, 5) be M(2, 0)
Using the formula for calculating the midpoints of two coordinates
(X₁, Y₁) = 

Given if (X₁, Y₁) is the midpoint, then X₁ = 2, Y₁ = 0
x₂ = -5 and y₂ = 5
Substituting this given values into the equation above to get the unknown coordinate;

Similarly;

The coordinate of A = (1,-5)