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4 years ago

14

Helppppppp!!! One bus is 5 miles east and 2 miles north of the bus terminal. Another bus is 3 miles west and 6 miles south of th

e terminal how far apart are the buses?

1 answer:

morpeh [17]4 years ago

4 0

Answer:

16 miles apart

Step-by-step explanation:

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Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?

IRINA_888 [86]

Answer:

The answer is " $x^{\frac{5}{3}}y^{\frac{1}{3}}$ "

Step-by-step explanation:

Given value:

$\to \bold{ \sqrt[3]{x^5y} }$

$\to \sqrt[3]{x^5y} =(x^5y)^{\frac{1}{3}}$

formula:

$\bold{(a.b)^n=a^nb^n}$

$\to (x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}}y^{\frac{1}{3}}$

The final value is: $\boxed{\boxed{ x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}}}$

7 0

3 years ago

Read 2 more answers

If h(x)=(fog)(x) and h(x)=3 sqrt x+3, find g(x) if f(x) =3 sqrt x+2

Sonja [21]

Answer:

$g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

Step-by-step explanation:

Given functions: h(x) = (fog)(x) , h(x) = 3√x + 3 and f(x) = 3√x + 2

To find: function g(x)

Consider,

(fog)(x) = h(x)

f( g(x) ) = h(x)

$3\sqrt{g(x)}+2=3\sqrt{x}+3$

$3\sqrt{g(x)}=3\sqrt{x}+1$

$\sqrt{g(x)}=\frac{3\sqrt{x}+1}{3}$

$\sqrt{g(x)}=\sqrt{x}+\frac{1}{3}$

$g(x)=(\sqrt{x}+\frac{1}{3})^2$

$g(x)=(\sqrt{x})^2+(\frac{1}{3})^2+2\times\frac{1}{3}\times\sqrt{x}$

$g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

Therefore, $g(x)=x+\frac{1}{9}+\frac{2\sqrt{x}}{3}$

5 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the point (-4,6)(−4,6) and has a slope of -\frac{5}{4}−

AysviL [449]

Answer:

5x + 4y - 4 = 0 is the given line equation.

Step-by-step explanation:

The slope m of the line is given as $-\frac{5}{4}$

The point of the equation is (x0, y0) = (-4, 6)

Now, by POINT SLOPE formula of a line:

Equation of a line is : ( y -y0) = m (x - x0)

Hence, the equation is $(y - 6) = -\frac{5}{4} (x -(-4))$

On further simplifying $4(y - 6) = -5 (x + 4)\\or, 4y - 24 = -5x- 20$ ,

⇒ 5x + 4y - 24 + 20 = 0

or, 5x + 4y - 4 = 0 is the given line equation.

4 0

3 years ago

O,60 is the same rotation as O,<br><br> -300<br> 120<br> 300

Luba_88 [7]

Answer:

-300

Step-by-step explanation:

A counter-clockwise rotation is positive.

A clockwise rotation is negative.

Start at the top and go counter-clockwise 60 degrees.

Start at the top and go clockwise 300 degrees.

You end up at the same point.

It is -300 because a clockwise rotation is negative.

Here is a link with my work:

https://docs.google.com/document/d/1qWHf3acY0HKyWf8hU-_CKpbPZO214G__EGPvn53vM2I/edit?usp=sharing

<em>Hope this helps! :)</em>

4 0

3 years ago

Read 2 more answers

in order to earn an A in class, your test scores must average at least 92%. On the first 6 tests, you have an average of 91%. Wh

mel-nik [20]

98% or higher.
Find the mean. 91 x 6 = 546
546 + 98 = 644
644/7 = 92

4 0

3 years ago