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3 years ago

Can someone help me with this? Please

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

4 0

Answer:

I'm kind of confused what the question is asking. If they are asking for an expression to represent JL then the answer is 14x -32. If they want to know the distance between J and L then the answer is 66

Step-by-step explanation:

First I set the 2 equations equal to each other (5x-2 = 9x -30) and solved this to get x =7. (ANSWER ONE)

Next I plugged 7 into one of the equations (in this case either one will work bc JK and KL are the same distance. so I plugged 7 into the first one ( 5(7) -2 ) and I got 33. This means the distance of JK (and KL since they are equal) is 33.

Next I multiplied 33 by 2 since JL is JK and KL combined ( JK and KL are both 33 and therefore adding them together (multiplying 33×2) will give you the length of JL) and I got 66 (ANSWER 2)

Sorry if this is super confusing

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Find the derivative with respect to x of y = (3x + x^2)^5

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<h2>The required "option A) $5(3x + x^2)^{4} (3+2x)$ " is correct.</h2>

Step-by-step explanation:

We have,

$y = (3x + x^2)^5$ ..... (1)

To find, $\dfrac{dy}{dx}$ = ?

Differentiating equation (1) w.r.t. 'x', we get

$\dfrac{dy}{dx}= \dfrac{d[(3x + x^2)^5]}{dx}$

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{5-1} \dfrac{d(3x + x^2)}{dx}$

[ ∵ $y=x^{n}$ ⇒ $\dfrac{dy}{dx}=nx^{n-1}$ ]

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{4} (3(1) + 2x^{2-1})$

⇒ $\dfrac{dy}{dx}=5(3x + x^2)^{4} (3+2x)$

Thus, the required "option A) $5(3x + x^2)^{4} (3+2x)$ " is correct.

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3 years ago

In the xy-plane, The line P is perpendicular to the graph of the equation 4x+3y=12. Which of the following is the slope of line

gladu [14]

A slope is also known as the gradient of a line. The slope of line P is 3/4.

<h3>What is Slope?</h3>

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

As it is known that for two perpendicular lines the slope of the lines will be negative reciprocal of each other. The slope of line 4x+3y=12 can be written as,

y = 4 - (4/3)x

m₁ = -1/m₂

-(4/3) = -1/m₂

m₂ = 3/4

Hence, the slope of line P is 3/4.

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kirill115 [55]

The three ratios that are equivalent to the given ratio are options B, C and E.

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(11:111:111)/1 = 11:111:111.

For choice A, we have:

1:111:111/11 = 1/11:111:111 (not equivalent).

For choice B, we have:

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For choice E, we have:

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<u>Complete Question:</u>

Select three ratios that are equivalent to 11:111:111, colon, 1. Choose 3 answers: Choose 3 answers: (Choice A) A 1:111:111, colon, 11 (Choice B) B 22:222:222, colon, 2 (Choice C) C 55:555:555, colon, 5 (Choice D) D 9:999:999, colon, 99 (Choice E) E 110:1110:1110, colon, 10.

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Answer:

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Step-by-step explanation:

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50-12 = 38

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