We are given the equation:
13x^2 + 6√3 xy + 7y^2 - 16 = 0
Based on the general equation of conic sections:
Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0,
A = 13
B = 6√3
C = 7
D = 0
E = 0
F = -16
So we can find the graph of the equation by solving for the discriminate B^2 - 4AC
B^2 - 4AC, substitute given:
(6^2 * 3) - 4 (13 * 7) = -256
since the discriminate is less than zero, the graph could be a circle or a parabola. In this case, the values of A and C are not equal, then our graph is a parabola.
Answer:
(when x = 0)
Step-by-step explanation:
The initial value of the exponential equation is:
Answer: CONFOUNDING VARIABLES
Step-by-step explanation: Confounding variables are
unexpected external factor that affects both variables of interest, confounding variables usually gives the false impression that changes in one variable leads to changes in the other variable, when, in Actual, it is the external factor that caused the change being investigated. Confounding variables usually leads to wrong conclusions during research and experiments and are capable of causing biased outcomes when the real cause and effect relationship is not determined.
Based on the calculations, the dimensions of the rectangle are
- Length, L = 156 meters.
- Width, w = 65 meters.
<h3>What is a diagonal?</h3>
The diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.
Mathematically, the length of diagonals of a rectangle can be calculated by using this formula:
d = √(l² + w²)
Where:
- d is the diagonal of a rectangle.
- l is the length of a rectangle.
- w is the width of a rectangle.
Since the ratio of the length to the width is 12:5, we have:
Width, w = 5l/12
Substituting the given parameters into the formula, we have;
169 = √(l² + (5l/12)²)
169² = l² + (5l/12)²
169² = l² + (25l²/144)
Length, L = 156 meters.
For the width, we have:
Width, w = 5l/12
Width, w = 5(156)/12
Width, w = 65 meters.
Read more on rectangle here: brainly.com/question/25292087
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Answer:
x = 20
Step-by-step explanation:
→Add 1 to both sides
x / 4 = 5
→ Multiply both sides by 4
x = 20
