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3 years ago

Can anyone help with these two questions

Mathematics

1 answer:

Gala2k [10]3 years ago

6 0

Answer:

$9x+6=60$ (Alternate angles)

$9x=54$

$x=6$

$13x-6=12x+1$ (Vertically opposite angles 3 times)

$13x=12x+7$

$x=7$

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In a right triangle, a = 14.2 cm and b = 13.9 cm. Find c. Round to the<br> nearest tenth.

iogann1982 [59]

Answer:

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Step-by-step explanation:

8 0

3 years ago

In Exercise, find the derivative of the function.<br> y = ln(3 + x2)

erastovalidia [21]

Answer: $\dfrac{2x}{3 + x^2}$

Step-by-step explanation:

We know the property of derivative: $\dfrac{d}{dx}(\log (x))=\dfrac{1}{x}$

Given function : $y=\ln(3 + x^2)$

Differentiate both sides with respect to x , we get

$\dfrac{dy}{dx}=\dfrac{d}{dx}(\ln(3 + x^2))$

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot\dfrac{d}{dx}(3 + x^2)$ [By Chain rule]

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot(0+2x)$

[Since $\dfrac{d}{dx}(a)=0$ , where a is scalar and $\dfrac{d}{dx}(x^n)=n(x)^{n-1}$ ]

$\Rightarrow\ \dfrac{dy}{dx}=\dfrac{2x}{3 + x^2}$

Hence, the derivative of the given function is $\dfrac{2x}{3 + x^2}$ .

5 0

3 years ago

Write the equation of the circle in general form. Show your work.

Nonamiya [84]

Answer:

The equation would be:

(X+1)^2 + (y-1)^2 = 9

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3 years ago

The authors of both passages agree that King’s "I Have

Norma-Jean [14]

The authors of both passages agree that King’s "I Have a Dream" speech: had a profound impact on many Americans (Option C).

<h3>What is a comprehension passage?</h3>

In a comprehension passage, some questions are given that follow the passage. The questions are to be answered by using the data given in the passage, even if it differs from real-life facts.

Now,

Both the given passages use adjectives like 'magnificent' and 'famous' with respect to Martin Luther King's "I Have a Dream Speech".
The first passage claims, "Many people can still remember the first time they heard I Have a Dream, and they tend to speak of that memory with the reverence reserved for a religious experience."
While the second concurs with, "For most Americans, those words capture Kings unique genius. They express his immortal longing for freedom, a longing that is familiar to every person who dares imagine a future beyond unjust laws and unfair customs. The edifying universality of those four words who hasn't dreamed, and who cannot identify with people whose dreams of a better world are punished with violence helps to explain their durability."
In this context, we can deduce that King's I Had A Dream Speech had a profound impact on Americans, i.e., option C is correct.

To learn more about comprehension passages, refer to the link:

brainly.com/question/24716030

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1 year ago

The sale price for a bicycle is $315 dollars. The original price was first discounted by 50% and then discounted an additional 1

Len [333]

This means that the bicycle was discounted in total by 60%, so $315 is 40% of the original price to get 40% to 100% youd multiply it by 2.5 so so the same to the price 315 x 2.5= 787.5

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3 years ago

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