Answer:
x = 6
Step-by-step explanation:
These two angles make a complementary angle meaning the sum of the angles will be 90°. We can use this information to make an equation to solve for x.
10x + 30 = 90 (Given)
10x = 60 (Subtract 30 on both sides)
x = 6 (Divide 10 on both sides)
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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Answer:
Please post one by one answer
Answer:
288
Step-by-step explanation:
<em> Number of rectangles</em>
<em>____________________________________________________________</em>
1 × 1 squares 9-1 = 1 = 8*8 = 64
1 × 2 squares 9-2 = 7 = 8*7 = 56
1 × 3 squares 9-3 = 6 = 8*6 = 48
1 × 4 squares 9-4 = 5 = 8*5 = 40
1 × 5 squares 9-5 = 4 = 8*4 =32
1 × 6 squares 9-6 = 3 = 8*3 = 24
1 × 7 squares 9-7 = 2 = 8*2 = 16
1 × 8 squares 9-8 = 1 = 8*1 = 8
64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288
<em>Thus,</em>
<em>the number of squares on a chessboard is 228.</em>
<em />
<em>Hope this helps :)</em>
Answer:
The answer is 1.75 miles.
Step-by-step explanation:
