Answer:
A line is perpendicular to
y = - 1/4x-9
comparing with y = MX+ c
m=-1/4.
slope =-1/4
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:
Step-by-step explanation:
Given rule for the multiple translations is,

Apply the rule
first.
(x, y) → (-x, -y)
This rule illustrates a rotation of the triangle FGH by 180° about the origin,
Vertices of ΔFGH are,
F → (1, 1)
G → (4, 5)
H → (5, 1)
After rotation vertices of the image triangle are,
F' → (-1, -1)
G' → (-4, -5)
H' → (-5, -1)
Further apply the rule,

(x, y) → (x + 5, y - 0.5)
By this rule of translation,
F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}
→ F"(4, -1.5)
G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]
→ G"(1, -5.5)
H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]
→ H"(0, -1.5)
Answer:
48 dollars.
Step-by-step explanation:
If you look up "40 percent off of 85" you'll get 48.