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3 years ago

How do the expressions 72 divided by 9 and -72 divided by (-9) compare when they are evaluated?

Mathematics

2 answers:

qaws [65]3 years ago

7 0

Answer:

Step-by-step explanation:

larisa86 [58]3 years ago

3 0

Answer:

Step-by-step explanation:

I took the test

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For what valuels of x is the equation |4x + 2| = x + 8 TRUE?

dmitriy555 [2]

Answer:

$x=-2\quad \mathrm{or}\quad \:x=2$

Step-by-step explanation:

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3 years ago

In the diagram below, which line has a positive slope? AB AD AC DB

zhenek [66]

Answer: AC

Step-by-step explanation: Hope this helps

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3 years ago

Find the missing side lengths. Leave your answers as radicals in simplest form.

steposvetlana [31]

The length of missing sides x = 5 units and y = 5 units.

<h3>What is Trigonometric ratios?</h3><h3>The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).</h3>

In ΔABC,

AB (Base) = y , BC(Hypotenuse) = $5\sqrt{2}$ , CA (perpendicular) = x

and ∠ABC = $45^0$

Now,

tan $45^0$ = perp. / base

1 = x /y

x= y .................(i)

again,

sin $45^0$ = perp. / Hypo.

$\frac{1}{\sqrt{2} } = \frac{x}{5\sqrt{2} }$

x = 5

put in equation (i), we get

y = 5

Thus, the length of missing side of the given triangle is x = 5 units and y = 5 units.

Learn more about trigonometric ratios from :

brainly.com/question/1201366

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2 years ago

A system has one each of two different types of components in joint operation. Let X and Y denote the random lengths of the live

RSB [31]

Answer:

The value of E(Y/X) is 2.

Step-by-step explanation:

As the complete question is not given, thus the complete question is found online and is attached herewith.

So the joint density function is given as

$f(x,y)=\left \{ {{\dfrac{x}{8}e^{-\dfrac{x+y}{2}} \,\,\,\,0 \leq x,0\leq y \atop {0}} \right.$

So the marginal function for X is given as

$f_x=\int\limits^{\infty}_0 {f(x,y)} \, dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x+y}{2} }dy\\f_x=\int\limits^{\infty}_0 \dfrac{x}{8}e^{-\frac{x}{2}}e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{8}e^{-\frac{x}{2}}\int\limits^{\infty}_0e^{-\frac{y}{2} }dy\\f_x= \dfrac{x}{4}e^{-\frac{x}{2}}$

Now

$f(Y/X)=\dfrac{f(X,Y)}{f(X)}\\f(Y/X)=\dfrac{\dfrac{x}{8}e^{-\frac{x+y}{2} }}{\dfrac{x}{4}e^{-\frac{x}{2}}}\\f(Y/X)=\dfrac{1}{2}e^{-\frac{y}{2} }$

Now the value of E(Y/X) is given as

$E(Y/X)=\int\limits^{\infty}_0 {yf_{Y/X}} \, dy \\E(Y/X)=\int\limits^{\infty}_0 {y\dfrac{1}{2}e^{-\frac{y}{2} } }\, dy\\E(Y/X)=\dfrac{1}{2}\dfrac{\sqrt{2}}{(\dfrac{1}{2})^2}=2$