Answer:
Y' (5, -3), Z' (3, -2)
Step-by-step explanation:
The translation is right 4 and down 1. Since you are going from (3, -4) to (7, -5), to get from 3 to 7 on the x axis you move right 4. To get from -4 to -5 on the y axis, you go down 1.
Y (1, -2) add 4 to the x value. 1 + 4 = 5. Add -1 to the y value. -2 + -1 = -3. Y' (5, -3)
Z (-1, -1). Add 4 to the x value. 4 + (-1) = 3. Add -1 to the y value. -1 + (-1) = -2.
No, the system is inconsistent.
Step-by-step explanation:
If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.
So, the system of linear equations is inconsistent.
So, I don’t speak English, but I’m trying
290:5=
290/1 *1/5= 290/5= 58
Answer: D. 36, 108
Step-by-step explanation:
In the geometric series the ratio of two consecutive term is constant and this ratio is called the common ratio,
Let n be the common ratio of the given series,
Then the GP will be,
12, 12×n, 12×n×n, 324,
Again by the definition of Geometric series,

Thus, the required series is,
12, 12×3, 36×3, 324
= 12, 36, 108, 324
⇒ Option D is correct.
Answer:
c
Step-by-step explanation:
let the number be n then multiplied by itself gives n², thus
n² + 7 = 16 ( subtract 7 from both sides )
n² = 9 ( take the square root of both sides )
n =
= 3