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3 years ago

Please help me identify the terms and like terms

Mathematics

2 answers:

sergey [27]3 years ago

4 0

Step-by-step explanation:

can you send a new picture I can't see the whole problem

topjm [15]3 years ago

4 0

The terms are (4.2x), (-3.9), (-5.1x), (6)

like terms are terms that represent the same variable.

-3.9 & 6 both do not represent any varibles, they are just numbers, so they are like terms

4.2x & -5.1x both represent (x) so they are like terms.

to collect like terms, you create a smaller equation, just for them.
so you equations are;
-3.9+6
&
4.2x-5.1x

note: you know to add the 6 as all positive numbers have a + infront, it is just not written.

-3.9+6=2.1
4.2x-5.1x=-1.1x

therefore your equation after collecting like terms is 2.1-1.1x.

Hope this helps :)

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3 years ago

A company produces birthday cards and get well cards at a ratio of 6 to 5 how many birthday cards can ve expected if 60 get well

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The number of birthday cards made is 72.

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Total card = (sum of ratios x number of get well cards) / ratio of get well cards

(11 x 60) / 5 = 132

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6/11 x 132 = 72 cards

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2 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

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3 years ago

Nathaniel is making muffins. Each batch uses 2 cups of flour. He plans to use less than 40 cups of flour for muffins so that he

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The number of batches Nathaniel can make is 16.5 batches.

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2 years ago

The scale factor from S to M is 3/2 What is the scale factor from M to S

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we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

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Suppose we have a figure S. If we apply a stretch of scale factor K to our figure S, we can say that all the dimensions of figure S are multiplied by K.

So, if S represents the length of a bar, then after the stretch we will get a bar of length M, such that:

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If that scale factor is 3/2, then we have the case of the problem:

M = (3/2)*S

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(2/3)*M = S

Now we have an equation (similar to the first one) that says that the scale factor from M to S is 2/3.

Then we conclude that if the scale factor from S to M is 3/2, then the scale factor from M to S is 2/4.

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1 year ago