Given that th<span>e coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) and the coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) .
Notice that the y-coordinates of the pre-image and that of the image are the same, which means that there is a reflection across the y-axis.
A refrection across the y-axis results in the change in sign of the x-coordinates of the pre-image and the image while the y-coordinate of the image remains the same as that of the pre-image.
A refrection across the y-axis of </span>△DEF with vertices D(2, −1) , E(7, −1) , and F(2, −3)
will result in and image with vertices (-2, -1), (-7, -1) and (-2, -3) respectively.
Notice that the x-coordinate of the final image △D′E′F′ with vertices <span>D′(0, −1) , E′(−5, −1) , and F′(0, −3) is 2 units greater than the vertices of the result of recting the pre-image across the y-axis.
This means that the result of refrecting the pre-image was shifted two places to the right.
Therefore, </span>the sequence of transformations that maps △DEF to △D′E′F′ are reflection across the y-axis and translation 2 units right.
Answer:
It is 3
Step-by-step explanation:
The equation 12 divided by 4 is 3
To make sure this is true 4 times 3 is 12
Answer:
Step-by-step explanation:
=3/16
Using Calculator
=0.1876
Two buckets of seawater contain
kg of salt.
Step-by-step explanation:
Amount of salt in 1 kg water = 
It is given that;
1 liter = 
500 liters = 
500 liters = 548 kilogram
As,
1 kg of seawater =
of salt
548 kilograms = 
548 kilograms =
kilograms of salt
Two buckets of seawater contain
kg of salt.
Keywords: unit rate, multiplication
Learn more about multiplication at:
#LearnwithBrainly
Answer:
1/2.(x+12)=4x-1
x+12=2(4x-1)
x+12=8x-2
Group like terms
12+2=8x-x
14=7x
Divide both sides by 7
x=2
Step-by-step explanation: