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4 years ago

Please help with these two math problems 1. 7^x ÷ 7^y = 2. z^10x^y ÷ z^5 =

Mathematics

1 answer:

IceJOKER [234]4 years ago

8 0

Answer:

1. 7^(x-y)

2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)

$\dfrac{7^x}{7^y}=\boxed{7^{x-y}}$

$\dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}$

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diamong [38]

Answer:

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Step-by-step explanation:

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2 years ago

Find the equation of a line passing through the point(-3,0) and (2,-3)

Svetradugi [14.3K]

Answer (assuming the question allows it to be written in slope-intercept form):

$y = -\frac{3}{5} x-\frac{9}{5}$

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ , substitute the given points' x and y values, and simplify:

$m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}$

Thus, the slope is $-\frac{3}{5}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute real values for $m$ , $x_1$ , and $y_1$ .

Since $m$ represents the slope, substitute $-\frac{3}{5}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

$y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}$

5 0

3 years ago

Read 2 more answers

Using the GCF (Greatest Common Factor) , what is the factored form of 24v - 84

sleet_krkn [62]

Answer:12 (2v-7)

Step-by-step explanation: You have to find The GCF which is 12.THen you do 24v divide 12 which is 2v and do 84 divide 12 which is 7.Now put GCF which is 12 ,then write (,next write 2v - 7 .

Hope it helps :)

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3 years ago

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3 years ago

Which of the following describes the graph of 2x + 4 < 16?

Troyanec [42]

Answer:

Step-by-step explanation: