To solve this problem you must apply the proccedure shown below:
1. Let's call: the number of roses and the number of lilies.
2. You must make a system of equation based on the information given in the problem above:
3. Use the method of substitution. First, solve for in the second equation, then substitute it into the first equation, and then solve for :
4. Now, substitute into the second equation:
Therefore, the answer is: roses and lilies.
Solution :
We know, cot 2θ = 1/tan 2θ
Multiplying tan 2θ both side of the given equation.
tan²2θ - 3tan 2θ - 10 = 0
tan²2θ - 5tan 2θ + 2tan 2θ - 10 = 0
tan 2θ ( tan 2θ - 5 ) + 2 ( tan 2θ - 5 ) = 0
tan 2θ = -2 or tan 2θ = 5
Therefore, or
Hence, this is the required solution.
<u>2/3 i</u><u>s the</u><u> slope </u><u>of a line that is perpendicular to the line whose equation is 3x 2y=6.</u>
What is slope?
- Slope, Numerical measure of a line's inclination relative to the horizontal.
- In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).
we can find the slope from the equation that is given buy solving the equation for y
3x+2y = 6
2y = 6-3x
y = 3-3/2x
y = -3/2x+3
now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2
perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have
-3/2 → 3/2 → 2/3
Therefore, the slope of the perpendicular line is 2/3.
Learn more about slope
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Answer:
<u><em>Measure of angle A is 27 7/9 degrees.</em></u>
Step-by-step explanation:
Lets call measure of angle A is <em><u>X-10</u></em>
Lets call measure of angle B is X
Lets call measure of angle D is 2.5X+20
We know that the sum of triangles add up to 180 degrees
X+X-10+2.5X+20=180
X=37 7/9
So measure of angle A is 27 7/9 degrees.
I hope this is right. :)