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3 years ago

Simplify the expression9x⁰y⁸____z⁸

Mathematics

2 answers:

NARA [144]3 years ago

5 0

simplified the answer is:

9y^8/z^8

Olenka [21]3 years ago

3 0

Anything raised to exponent 0 equals 1

$x^{0}=1$

So we get

$\frac{9 (1) y^8}{z^8} = \frac{9y^8}{z^8}$

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Answer:I want to go to school

Step-by-step explanation:because it is way eaiser

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3 years ago

Write the equation in slope-intercept form and find the equation of a line through the given point (a) parallel and (b) perpendi

skelet666 [1.2K]

keeping in mind that parallel lines have the same exact slope, hmmm what's the slope of 4x - 2y = 3 anyway? well, let's put it in slope-intercept form firstly.

$\bf 4x-2y=3\implies 4x-3=2y\implies \cfrac{4x-3}{2}=y
\\\\\\
\cfrac{4x}{2}-\cfrac{3}{2}=y\implies \stackrel{slope}{2}x-\cfrac{3}{2}=y$

so we're looking for a line whose slope is 2 and passes through 2,1.

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}
slope = m\implies 2
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=2(x-2)
\\\\\\
y-1=2x-4\implies \blacktriangleright y=2x-3 \blacktriangleleft$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{\stackrel{slope}{2\implies \cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})~\hspace{10em}
slope = m\implies -\cfrac{1}{2}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-1=-\cfrac{1}{2}(x-2)
\\\\\\
y-1=-\cfrac{1}{2}x+1\implies \blacktriangleright y=-\cfrac{1}{2}x+2 \blacktriangleleft$

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3 years ago

A copy machine makes 36 copies per min him many copies does it make in 3 mins and 45 seconds

ladessa [460]

129.6 ok here you go and dice because i have to make it long here you also go

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3 years ago

How do you convert 41/8 and 12/1 to common denominators?

Anna [14]

Multiply 8 the numerator and denominator to the second one.
12/1
8(12/1)
96/8
Now they have the same denominators.

6 0

4 years ago

Mother gives birth to a 8 pound baby. Every 4 months, the baby gains 3 pounds.

Slav-nsk [51]

Hello!

The equation, y = mx + b is slope-intercept form. In this equation, m is the slope, and b is the y-intercept.

If the baby was exactly 8 pounds when it was born, then the y-intercept is (0, 8) because at zero months, the baby was eight pounds. To find the rate of change, we can use the the y-intercept (0, 8), and the weight of the baby at four months, which is (4, 8 + 3) → (4, 11).

Since we have two points, we can use the slope formula $(\frac{y_{2}-y_{1}}{x_{2}-x_{1}})$ to find the rate of change.

$\frac{8 -11}{0-4} = \frac{-3}{-4} = \frac{3}{4}$ .

The rate of change is 3/4.

Therefore, the equation that describes the baby's weight is y = 3/4x + 8.

8 0

3 years ago