Answer:
K' = (8,-4) L' = (4,-7) M' = (1,-2)
Step-by-step explanation:
Simply take the x coordinates and the y coordinates and flip them.
For example, if you have A (2, 4) reflected across y=x, A' would be (4,2).
Answer:
24.3
Step-by-step explanation:
We need to follow the order of operations PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Carry out the operation in the parentheses first:
3³ + 14.7 ÷ 7 - (1.2 × 4)
⇒ 3³ + 14.7 ÷ 7 - 4.8
Now the exponent:
⇒ 3³ + 14.7 ÷ 7 - 4.8
⇒ (3 × 3 × 3) + 14.7 ÷ 7 - 4.8
⇒ 27 + 14.7 ÷ 7 - 4.8
Now, the division (there is no multiplication):
⇒ 27 + 14.7 ÷ 7 - 4.8
⇒ 27 + 2.1 - 4.8
Finally, carry out the addition and subtraction (from left to right)
⇒ 27 + 2.1 - 4.8
⇒ 29.1 - 4.8
⇒ 24.3
Answer:
the height is 9.8 cm
Step-by-step explanation:
71.54 ÷ 7.3 = 9.8
a is given to us so just plug a into the first equation:
b-3 - 3b =9
Add 3 to both sides:
b-3b=12
Combine like terms:
-2b=12
Divide by -2 to get b by itself:
b=-6
The only answer with b as -6 is the first one, (-9,-6)
Answer:
Step-by-step explanation:
-7x + 12 + (-8x + 48) = 180
-15x + 60 = 180
-15x = 120
x = -8
m<BDC= -7(-8)+ 12 = 56 + 12 = 68
m<CBA = -8(-8)+48 = 64+48 = 112