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crimeas [40]
3 years ago
11

4y/2x evaluate the expression when x=4 and y= -6​

Mathematics
2 answers:
GenaCL600 [577]3 years ago
8 0

AnswerJust plug in x=-3, y=2 and z=-1 and simplify to get 2%28-3%29-%284%282%29-3%29%2B5%28-3%29%28-1%29=-6-%288-3%29%2B15=-6-5%2B15=4. So 2x-%284y-3%29%2B5xz=4 when x=-3, y=2 and z=-1

Step-by-step explanation:

kobusy [5.1K]3 years ago
7 0

Answer:

-3

Step-by-step explanation:

Plug in 4 as x and -6 as y

4y/2x

4(-6) / 2(4)

-24 / 8

= -3

So, the expression is equal to -3

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In ΔNOP, the measure of ∠P=90°, PO = 77, NP = 36, and ON = 85. What ratio represents the cosine of ∠N?
Usimov [2.4K]

Answer:

36:85

Step-by-step explanation:

Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.

According to CAH

Cos∠N = Adjacent/Hypotenuse

Hypotenuse is the longest of the triangle |ON| = 85

Since the opposite side to ∠N is 77, the third side will be the Adjacent side.

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Therefore:

Cos∠N = 36/85

The ratio that represents the cosine of ∠N is 36:85

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CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the inte
rodikova [14]

The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.

To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.

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By definition of absolute value,

|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)

Over this particular integration interval,

• sin(<em>t</em> ) ≥ 0 for 1 ≤ <em>t</em> < <em>π</em>, and

• sin(<em>t</em> ) < 0 for <em>π</em> < <em>t</em> ≤ 5

so you end up splitting the integral at <em>t</em> = <em>π</em> as

\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt

Now compute the distance:

\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5

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\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82

making B the correct answer.

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