Sabrina is x years old. Meghan is twice as old as Sabrina.
Michael is three years younger than Meghan.
The product of Sabrina's and Michael's age is 35.
How old is Meghan?

10

Step-by-step explanation:

If Sabrina is 5 & Michael is 7. (5×7=35)

Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).

Meghan is 10 years old

Step-by-step explanation:

We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.

We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:

m = 2x

Michael (M) is 3 years younger than Meghan. So we write:

M = m - 3

The product (multiplication) of Sabrina's and Michael's age is 35. So we write:

Mx = 35

To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.

M = 2x - 3

Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:

x(2x - 3) = 35

2x² - 3x = 35

2x² - 3x -35 = 0

(2x - 7)(x - 5) = 0

x = ⁷⁄₂ or 5

we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:

m = 2(5)

m = 10

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r =

transformed matrix can be obtained by multiplying the given matrix by r:

columns of the transformed matrix are:

0   0   -3   -3

0   3     3     0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney