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Sergio [31]
4 years ago
8

1. Evaluate the following: a) 249 = b) - 100 c) 10 + 7169

Mathematics
1 answer:
mario62 [17]4 years ago
3 0

Answer:

a) 249 = 249 or 2.49 × 10²

b) - 100 = - (10)²

c) 10 + 7169 = 7179

Step-by-step explanation:

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Determine if the sides form a right triangle.
Law Incorporation [45]

Answer:

Yes, it's a right-angle triangle

Step-by-step explanation:

3 root 2 is 4.24

3 root 3 is 5.2

3 root 5 is 6.71

3 root 5 is the longest side, so must be the hypotenuse.

a^2 + b^2 = c^2

(3 root 3)^2 + (3 root 2)^2 = c^2

45 = c^2

Square root both sides

C = root 45

( simplified to C= 3 root 5)

Thus, it is a right-angle triangle.

(Root means a square root)

Hope this helps!

3 0
2 years ago
F(x) = 3x + x3
____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

\frac{d}{dx}\left(3x+x^3\right)

\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'

=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)

solving

\frac{d}{dx}\left(3x\right)

\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'

=3\frac{d}{dx}\left(x\right)

\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1

=3\cdot \:1

=3

now solving

\frac{d}{dx}\left(x^3\right)

\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}

=3x^{3-1}

=3x^2

Thus, the expression becomes

\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)

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Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value  f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 =  3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{4},\:x=-\sqrt{4}

x=2,\:x=-2

Thus, the value of x​ will be:

x=2,\:x=-2

5 0
3 years ago
Geometry work please help
inn [45]
The answer is BAD. Hope this helps
8 0
3 years ago
In Texas the temperature was 85 degrees. In
katen-ka-za [31]

Answer:

77

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
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