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>
Look at the attachment. Hope it helps!
The probability that she picks two white socks is 0.0357
<h3>How to determine the probability?</h3>
The given parameters are:
Socks = 8
Black = 4
White = 2
Brown = 1
Red = 1
The probability of picking a white sock at first is:
P(White) = 2/8
Now, there are 7 socks left
The probability of picking a white sock next is
P(White) = 1/7
The required probability is:
P = 2/8 * 1/7
Evaluate
P = 0.0357
Hence, the probability that she picks two white socks is 0.0357
Read more about probability at:
brainly.com/question/251701
#SPJ1
The complete question is
<span>Matsu wants to measure the dimensions of her vegetable garden. Which unit of measurement should she use to eliminate the need to write the values in scientific notation?
inches
feet
cups
tons
we know that
case a) inches
</span><span>is a measure of length used for small dimensions
</span><span>
case b) feet
</span>is a measure of length commonly used for dimensions of land, rooms, houses, etc.<span>
case c) cups
is not a measure of length
case d) tons
</span>is not a measure of length
<span>
therefore
the answer is the option
feet
</span>
Given:
The expression is
To find:
The factored form of given expression after factor out the coefficient of the variable term.
Solution:
We have,
Here, the coefficient of variable n is 
.
It can be written as
Taking out as common factor, we get
Therefore, the factored from of given expression is 
.
