Answer:
The coordinates of the center of the hyperbola are (1,-3)
Step-by-step explanation:
Equation of a hyperbola:
The equation of a hyperbola with center 
is given by:
In this question, we have that:
The coordinates of the center of the hyperbola are (1,-3)
The answer is 5. The only factors are 1 and 5, and 5 is the highest.
Answer:-4
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
Answer:
<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>
Step-by-step explanation:
The ratio of pine trees to elm trees in a park is 7:11
Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.
It is also given that, there are 68 more elm trees as compared to the pine trees.
i.e 
Hence, the number of pine tree = 
and the number of elm tree = 
