Answer:
Step-by-step explanation:
To find the gradient (slope) of the given <u>linear relation</u>, use <u>arithmetic operations</u> to isolate y:
Given relation:
Add 5x to both sides:
Divide both sides by 3:
<u>Slope-intercept form of a linear equation</u>
where:
- m is the slope (gradient)
- b is the y-intercept
Comparing the rewritten equation with the slope-intercept formula, the gradient (slope) of the given linear relation is ⁵/₃.
Learn more about linear equations here:
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The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
To learn more on derivatives: brainly.com/question/25324584
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X both sides by 11
=6x+2=-22
-2 from both sides
=6x=-24
both sides /6
=x=-3
Length * Width = Area
Width = Area / Length
W = 42 / 16.8
W = 2.5 inches
Answer:
x = 114
Step-by-step explanation:
Since p and q are parallel, the angle = 104° is equal to the angle = ( x - 10 )° by alternate exterior angles.
That means 104 = ( x - 10 )
+10 +10
= 114 = x
