Answer:
Find the roots of x^2-13x+30=0 by solving for x
x= 10,3
Step-by-step explanation:
Marita orders 12 yards of material to make banners. If she needs 1 foot of fabric for each banner, how many banners can she make
1 answer:
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Given:
Consider the equation is:
Some steps of the solution are given.
To find:
The next step of the solution.
Solution:
Step 1: The given equation is:
Step 2: Simplifying right hand side.
Step 3: Simplifying left hand side.
These steps are already given. So, the next step is:
Step 4: Subtracting 3 from both sides.
Therefore, the correct option is (b).
Answer:
Step-by-step explanation:
The hyperbola has x-intercepts, so it has a horizontal transverse axis.
The standard form of the equation of a hyperbola with a horizontal transverse axis is
The center is at (h,k).
The distance between the vertices is 2a.
The equations of the asymptotes are
1. Calculate h and k. The hyperbola is symmetric about the origin, so
h = 0 and k = 0
2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6
a = 6/2 = 3
3. For 'b': The equation for the asymptote with the positive slope is
Thus, asymptote has the slope of
4. The equation of the hyperbola is
The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.
The correct answer is option B which is .
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
The value of cot theta will be calculated as:-
We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.
H² = P² + B²
P² = H² - B²
P² = 25² - 24 ² = 49
P = √49 = 7
Now the value of cot theta will be calculated as:-
Therefore the correct answer is option B which is .
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