Answer:
x = 3 and y = 14
Step-by-step explanation:
opposite angles of a parallelogram are congruent. Hence,
1) 7y + 2 = 6y + 16
I. e. 7y - 6y = 16 - 2
I. e. y = 14
2) 8x + 8 = 6x + 14
I. e. 8x - 6x = 14 - 8
I. e. 2x = 6
I. e. x = 6/2
I. e. x = 3
Answer:
y=5/3 is the only real solution
Step-by-step explanation:
Solve for y over the real numbers:
11 y^2 - 19 y - 10 = -4 y^2
Add 4 y^2 to both sides:
15 y^2 - 19 y - 10 = 0
The left hand side factors into a product with two terms:
(3 y - 5) (5 y + 2) = 0
Split into two equations:
3 y - 5 = 0 or 5 y + 2 = 0
Add 5 to both sides:
3 y = 5 or 5 y + 2 = 0
Divide both sides by 3:
y = 5/3 or 5 y + 2 = 0
Subtract 2 from both sides:
y = 5/3 or 5 y = -2
Divide both sides by 5:
Answer: |
| y = 5/3 or y = -2/5
Thank you for posting your question here at brainly. The answer to the above question is the first one in the choices which is 15. Below is the solution:
<span>
3x + 10 = 55
Subtract 10 from each side...
3x = 45
Divide by 3...
x = 15</span>
According to the direct inspection, we conclude that the best approximation of the two solutions to the system of <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
<h3>What is the solution of a nonlinear system formed by two quadratic equations?</h3>
Herein we have two parabolae, that is, polynomials of the form a · x² + b · x + c, that pass through each other twice according to the image attached to this question. We need to estimate the location of the points by visual inspection on the <em>Cartesian</em> plane.
According to the direct inspection, we conclude that the best approximation of the two solutions, that is, the point where the two parabolae intercepts each other, to the system of two <em>quadratic</em> equations are (x₁, y₁) = (- 1, 0) and (x₂, y₂) = (1, 2.5). (Correct choice: C)
To learn more on quadratic equations: brainly.com/question/17177510
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Answer:
26%
Step-by-step explanation:
The amount due is ...
A = P(1 +rt)
2500 = 2350(1 +r(90/360)) . . . . using ordinary interest
2500/2350 -1 = r/4
r = 12/47 ≈ 25.53% ≈ 26%
The rate of the loan is about 26%.
