Answer:
The ordered pair generated from the equation is (1, 6).
Step-by-step explanation:
An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (<em>x</em>, <em>y</em>) = (1, 2) here <em>x</em> = 1 and <em>y</em> = 2.
The equation provided is:
Check for all the options:
- A (1, 6):
- B (1, 2):
- C (3, 6):
- D (8, 16):
Thus, the ordered pair generated from the equation is (1, 6).
Answer:
The warehouse will need 40 solar panels
Step-by-step explanation:
3/5 kilowatts is generated by 1 solar panel
24 kilowatts will be generated by ?
24 ÷ 3/5 = (24×5)/3 = 120/3 = 40 solar panels.
Step-by-step explanation:
Swap x and y
The system of the equations that have the solution of (2, -3) are given below.
3x + 2y = 0 and 3y = 2x - 13
<h3>What is the linear system?</h3>
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
Write a system of equations with the solution (2, -3).
From a single point, an infinite number of lines pass through this point.
Let one line is passing through the origin. Then the equation of the line will be
And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).
Then this line also passes through a point (2, -3). Then the value of c will be
Then the equation of the line will be
3y = 2x -13
More about the linear system link is given below.
brainly.com/question/20379472
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Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
