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2 years ago

Use the Fundamental Counting Principle to determine the number of disguises that can be made from three hats, two pairs of

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

7 0

Answer:

Step-by-step explanation:

Multiply the number of items with each other.

3 hats • 2 pairs of glasses • 2 mustaches

= 3 • 2 • 2

= 12

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Show working these two questions

Tresset [83]

Answer:

4(1- 2x)

h = 9 cm

Step-by-step explanation:

4 - 8x

= 4(1- 2x)

$A(\triangle ABC) = \frac{1}{2} \times AB\times h$

$27= \frac{1}{2} \times 6\times h$

$27= 3\times h$

$h =\frac{27}{3}$

$h =9 \: cm$

8 0

2 years ago

What is the slope of a line that contains points (3, 10) and (3, -2)?

marishachu [46]

Slope is y2-y1/x2-x1

Let’s make the point (3,10) our x1 and y1 and let’s make (3,-2) our x2 and y2

-2-10/3-3

-12/0 = undefined

The slope is undefined. If it were to be 0/-12, the answer would be 0. If any number were to be divided by 0, it would be undefined.

Hope I helped!

7 0

3 years ago

Read 2 more answers

The equation of line r is y = -1\2x - 4. If line s runs perpendicular to line r and passes through (4, -3), what would be the eq

Scrat [10]

First off, what's the slope of "r" anyway, $\bf y=\stackrel{slope}{-\cfrac{1}{2}}x-4$ .

low and behold, since "r" is in slope-intercept form, notice, it has a slope of -1/2.

now, any line perpendicular to "r", will have a negative reciprocal slope to it, that is,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{2}\\\\
negative\implies +\cfrac{1}{{{ 2}}}\qquad reciprocal\implies + \cfrac{{{ 2}}}{1}\implies 2$

so we're really looking for a line whose slope is 2, and runs through 4,-3,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~{{ 4}} &,&{{ -3}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=2(x-4)\implies y+3=2x-8
\\\\\\
y=2x-11$

7 0

3 years ago

What is: X/6+4=15 In simplest form?

defon

X/6+4=15
subtract 4 from both sides to get rid of the addition
x/6=11
multiply by 6 from both sides to get rid of the division
x=66(simplest form)

5 0

3 years ago

-) SimpLIFY 8 (-2 2 b -3

insens350 [35]

Answer is B correct

7 0

3 years ago