Answer: see below
<u>Step-by-step explanation:</u>
7) Algebraic Inequality: x ≠ 3
--> -∞ < x < 3 and 3 < x < ∞
Graph: ←-----------o-----------→
3
Interval Notation: (-∞,3) ∪ (3, ∞)
8) This is a duplicate question of #7
9) Algebraic Inequality: x ≠ 2 and x ≠ 7
--> -∞ < x < 2 and 2 < x < 7 and 7 < x < ∞
Graph: ←-------o-------o-------→
2 7
Interval Notation: (-∞, 2) ∪ (2, 7) ∪ (7, ∞)
10) Algebraic Inequality: x ≠ -4 and x ≠ 0
--> -∞ < x < -4 and -4 < x < 0 and 0 < x < ∞
Graph: ←-------o-------o-------→
-4 0
Interval Notation: (-∞, -4) ∪ (-4, 0) ∪ (0, ∞)
Answer:
• 90 miles per hour.
,
• 360 miles
Explanation:
After 1 hour, he has 270 miles left to travel.
After 2 hours, he has 180 miles remaining.
To determine the speed of the train, we find the rate of change.
The speed of the train is 90 miles per hour.
If the train travels 90 miles per hour, and after 1 hour, he has 270 miles to travel:
The distance of the train is:
She drank 22/2. Because if you add 21/2 + 1/2 the you will get 22/2
Answer:
Ivy is correct
Step-by-step explanation:
the perimeter of a parallelogram can be written as P= 2(a+b), where a and b are the lengths of the sides of the parallelogram.
since the parallelogram has been dilated by a scale factor of 0.6, we multiple the original side lengths by 0.6.
12 × 0.6 = 7.2
16 × 0.6 = 9.6
Plug into the equation
P=2(7.2+9.6)
P=2(16.8)
P= 33.6
You can also solve by plugging in the original values and multiplying the answer by 0.6.
P=2(12+16)(0.6)
P=2(28)(0.6)
P=(56)(0.6)
P=33.6
Answer:
71.6 degrees
Step-by-step explanation:
Given the vectors
u= <8,4> v = <9.-9> (5 points)
u*v = (8, 4)*(9, -9)
u*v = 8(9)+(4)(-9)
u*v = 72 - 36
u*v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+9²
|v| = √81+81
|v| = √162
Using the formula
u*v = ||u||v| cos theta
36 = √80(√162)cos theta
36 = √12960 cos theta
cos theta = 36/√12960
cos theta = 36/113.8
cos theta = 0.3162
theta = arccos(0.3162)
theta = 71.56 degrees
Hence the angle between the given vectors to the nearest tenth of a
degree is 71.6 degrees
