Answer:
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Given lines:
- 3x + y = 1 and y + 6 = - 3x
Convert both equations to slope-intercept form of y = mx + b:
- 3x + y = 1 ⇒ y = - 3x + 1
- y + 6 = - 3x ⇒ y = - 3x - 6
Slopes are same, so these are parallel lines, and the distance between parallel lines is:
, where b₁, b₂ - y-intercepts, m- slope
Substitute and calculate:
Answer:
(de/dt) = 0.70929
Step-by-step explanation:
Given
V = 4*e² + 4*g³
where
- V is the value of the graduate
- e is the number of years of prior business experience
- g is the graduate school grade point average
If V = 300 (constant)
g = 2.9
dg/dt = - 0.4
de/dt = ?
we have to get e as follows
V = 4*e² + 4*g³ ⇒ (V/4) = e² + g³ ⇒ e = √((V/4) - g³)
⇒ e = √((300/4) - (2.9)³)
⇒ e = 7.1141
Then we apply
dV/dt = d(4*e² + 4*g³)/dt
d(300)/dt = 4*((2*e*de/dt) + 3*g²*(dg/dt))
0 = (2*e*de/dt) + 3*g²*(dg/dt)
⇒ 0 = 2*(7.1141)*(de/dt) + 3*(2.9)²*(- 0.4)
⇒ (de/dt) = 0.70929
Answer:
B 244
Step-by-step explanation:
You can split up the polygon into two separate rectangles, one smaller one on top and one bigger one below.
Area of smaller rectangle = 6 × (14-8)
= 36
Area of bigger rectangle = 26 × 8
= 208
Total area of polygon = 36 + 208
= 244
We know that the pet Guinea gained 8 ounces in one month.
The question asks for the weight gained by Guinea in also one month.
Since both the described situation and the question both represent the same weight gained in the same duration, therefore, the required integer will be 8.
Answer: 8 ounces.
The area of Neil's rooms total
... (10 ft)×(10 ft) + (14 ft)×(14 ft) = 100 ft² +196 ft²
... = 296 ft²
Since Neil will save $1 per square foot by waiting on the sale, he will save
... (296 ft²)×($1/ft²) = $296
