Find the composition of transformations that map ABCD to EHGF. Reflect over the -axis, then translate (x+ ,y+)

(x+2,y+4)

9514 1404 393

  (x+ (-4), y+ (-4))

Step-by-step explanation:

After point D is reflected across the y-axis, its coordinates are ...

  D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is ...

  F -D' = (-3, -2) -(1, 2) = (-3-1, -2-2) = (-4, -4)

Then the translation rule is ...

  (x, y) ⇒ (x+(-4), y+(-4))

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.