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3 years ago

Write the equation in point slope form

Mathematics

2 answers:

solong [7]3 years ago

5 0

The equation in point slope form is
y-4 = (1/2)(x -2).

The equation for point slope form is
y - y1 = m(x - x1)

The point on the graph is given as (2,4) so you can substitute that into the equation as

y - 4 = m(x - 2)

M represents the slope.

By looking at the graph, you can see that the y-intercept is (0,3). The slope is change in y / change in x or the rise/run. From (0,3) to (2,4).

Change in y = 4 - 3 = 1
Change in x = 2 - 0 = 2

Therefore the slope = 1/2 = m.

Substitute m in for the slope and the final equation in point slope form would be y-4 = (1/2)(x -2).

Mars2501 [29]3 years ago

3 0

Answer: X=4/2x+3

Step-by-step explanation:

I just know

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

3 years ago

5:35-5:52 I need how much minutes from 5:35 from 5:52 please answer

Greeley [361]

Since these both are on the same hour we'll ignore the 5. We end up having :35 and :52. We'll subtract 35 from 52 which gives us 17. The answer to this is 17 minutes.

8 0

3 years ago

Read 2 more answers

If you cycled for 3 hours and travelled 54 km calculate your average speed

goldenfox [79]

Answer:

162 km per hour

Step-by-step explanation:

Hi!

Speed=Distance x Time

So... 3 x 54 = 162

Hope this helps :)