Answer:
49π (or ~154) cm²
Step-by-step explanation:
A = area
A = πr²
r = radius
r = 7
A = π(7)²
= 49π
= 153.938040026 → 154 cm²
Answer:
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis
Step-by-step explanation:
Answer: inconsistent
Step-by-step explanation:
Inconsistent systems have two lines that are two independent equations that don’t overlap. Basically, if the lines are parallel, the system will always be inconsistent.
Answer:
the minus can get inside the brackets
Step-by-step explanation:
-2(n-3)= 2(3-n)= 6-2n
Answer:
The two numbers are 18 and 42
Step-by-step explanation:
let the two numbers = x and y
Their sum: x + y = 60 ------ (1)
Also, dividing the larger by the smaller (partition = 2 and remainder = 6).
Let the larger number = y

Substitute the value of y into equation (1)
x + (2x + 6) = 60
x + 2x + 6 = 60
3x + 6 = 60
3x = 60 - 6
3x = 54
x = 54 / 3
x = 18
y = 2x + 6
y = 2(18) + 6
y = 36 + 6
y = 42
The two numbers are 18 and 42