Answer:
parallel
Step-by-step explanation:
An equation of the form
y = k
where k is a number is a horizontal line.
Since both lines have the form y = k, with two different values of k, -2 and -7, these are two different horizontal lines, so they are parallel.
Answer: parallel
Answer:
5.96 x 10 2
Step-by-step explanation:
> 0
First, note that x is undefined at 5. / x ≠ 5
Second, replace the inequality sign with an equal sign so that we can solve it like a normal equation. / Your problem should look like:
= 0
Third, multiply both sides by x - 5. / Your problem should look like: 3x - 5 = 0
Forth, add 5 to both sides. / Your problem should look like: 3x = 5
Fifth, divide both sides by 3. / Your problem should look like: x =
Sixth, from the values of x above, we have these 3 intervals to test:
x <
< x < 5
x > 5
Seventh, pick a test point for each interval.
1. For the interval x <
:
Let's pick x - 0. Then,
> 0
After simplifying, we get 1 > 0 which is true.
Keep this interval.
2. For the interval
< x < 5:
Let's pick x = 2. Then,
> 0
After simplifying, we get -0.3333 > 0, which is false.
Drop this interval.
3. For the interval x > 5:
Let's pick x = 6. Then,
> 0
After simplifying, we get 13 > 0, which is ture.
Keep this interval.
Eighth, therefore, x <
and x > 5
Answer: x <
and x > 5
Answer:
Number of bags of candy = 2
Number of bags of cookies = 7
Step-by-step explanation:
Let, number of bags of candy = X
So, Number of bags of cookies = X + 5
Cost of candy bag = $8
Cost of cookies bag = $2.5
Total sales = $33.50
So, Total cost of Candy Bags + Total cost of cookies bags = Total sales
= 8X + 2.5 ( X +5) = 33.50
= 8X + 2.5X + 12.5 = 33.50
= 10.5X = 33.50 - 12.5
= 10.5X = 21
X = 2
So, number of bags of candy = 2
Number of bags of cookies = 2 + 5 = 7
Numerator
<span><span>cos<span>(<span>π/2</span>−x)</span></span>=<span>cos<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>sin<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
now <span><span>cos<span>(<span>π/2</span>)</span></span>=0 and <span>sin<span>(<span>π/2</span>)</span></span>=1</span>
simplifies to : 0 + sinx = sinx
Denominator
<span><span>sin<span>(<span>π/2</span>−x)</span></span>=<span>sin<span>(<span>π/2</span>)</span></span><span>cosx</span>+<span>cos<span>(<span>π/2</span>)</span></span><span>sinx</span></span>
simplifies to : cosx + 0 = cosx
<span>⇒<span><span>cos<span>(<span>π/2</span>−x)</span></span><span>sin<span>(<span>π/2</span>−x)</span></span></span>=<span><span>sinx/</span><span>cosx</span></span>=<span>tan<span>x</span></span></span>
