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2 years ago

Which expression is equal to 5 6 (6 is an exponent)

Mathematics

1 answer:

meriva2 years ago

5 0

Answer:

6x5 is the answer

Step-by-step explanation: 6 is the t so it should be 5x6 so its equal but switched around

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The points (1, 7) and (0, 2) fall on a particular line. What is its equation in slope-intercept form?

NARA [144]

Slope-intercept form is y = mx + b

So we can manage to do this:

(y - yo) = m.(x - xo)

Where (x, y) and (xo, yo) are points of this line, this way we can discover the slope.

(7 - 2) = m.(1 - 0)

5 = m

m = 5

So,

y = 5x + b

Now we still have to use (y - yo) = m.(x - xo), but this time we will put only 1 point and the slope.

(y - yo) = m.(x - xo)

(y - 2) = 5.(x - 0)

y - 2 = 5x

y = 5x + 2

So, this is the line in slope-intercept form.

4 0

2 years ago

Find the value of the underlined 9 10,698

Dvinal [7]

90-------tenths place

5 0

2 years ago

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

2 years ago

I need help with this to

jek_recluse [69]

Answer: I believe the answer would be about 1

hope this helps

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3 years ago

Jalan is going to the moon. To get there, he has to travel at a 70 degree angle of elevation. If the moon is straight above the

DerKrebs [107]

Answer: 212,836

Step-by-step explanation:

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2 years ago