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2 years ago

Simplify the expression. c^-6 d^4/c^-16 d^14

Mathematics

1 answer:

pochemuha2 years ago

6 0

Answer:

$\red{\frac{ {c}^{10}}{{d}^{10} } }$

Step-by-step explanation:

$\huge \: \frac{ {c}^{ - 6} {d}^{4}}{ {c}^{ - 16} {d}^{14} } \\ \\ = \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\ \\ = \huge \: \red{\frac{ {c}^{10}}{{d}^{10} } }$

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Which line has a slope of 1/2 and a negative y-intercept? *

vivado [14]

Answer:

Step-by-step explanation:

4 0

3 years ago

You start driving north for 16 miles, turn right, and drive east for another 30 miles. At the end of driving, what is your strai

Maru [420]

The distance between starting and ending point is 34 miles.

Step-by-step explanation:

Given,

Car moves 16 miles to north then 30 mile to east.

It forms a right angle triangle.

The straight line distance from starting to ending point represents hypotenuse.

To find the distance between starting and ending point.

Formula

By <em>Pythagoras theorem,</em>

h² = b²+l² where h is the hypotenuse, b is base and l is the another side.

Taking, b=16 and l=30 we get,

h² = 16²+30²

or, h = $\sqrt{256+900}$

or, h = $\sqrt{1156}$ = 34

Hence,

The distance between starting and ending point is 34 miles.

5 0

3 years ago

nalin [4]

Answer:

No similarity and no scale factor (I could be wrong)

Step-by-step explanation:

Don't worry, no links :)

You would see if they are similar if they have similar sides. so if there is an equal ratio, to both, they are similar. Sometimes they may not look similar until you rotate them. So for the following, you can see that if E were on the bottom, it would look like the triangle with N and M on the bottom you can ensure this to look at the ratios of each side. To find the scale factor, it depends on which way you are going. are you going from GEF to MNL or MNL to GEF? To me, it doesn't look like there is a scale factor, but I could be wrong.

8 0

3 years ago

Answer #5,6,7,8,9,10

MatroZZZ [7]

$5)\ -2\times\frac{3}{7}=-\frac{2\times3}{7}=-\frac{6}{7}\\\\6)\ -2\frac{2}{3}\times4\frac{1}{10}=-\frac{8}{3}\times\frac{41}{10}=-\frac{4}{3}\times\frac{41}{5}=-\frac{164}{15}=-10\frac{14}{15}\\\\7)\ -2\frac{1}{5}\times(-1\frac{3}{4})=-\frac{11}{5}\times(-\frac{7}{4})=\frac{77}{20}=3\frac{17}{20}\\\\8)\ -1\frac{1}{4}\times9=-\frac{5}{4}\times9=-\frac{45}{4}=-11\frac{1}{4}\\\\9)\ -1\frac{5}{7}\times(-2\frac{1}{2})=-\frac{12}{7}\times(-\frac{5}{2})=\frac{6}{7}\times\frac{5}{1}=\frac{30}{7}=4\frac{2}{7}$

$1)\ -2\frac{3}{8}\times2\frac{1}{2}=-\frac{19}{8}\times\frac{5}{2}=-\frac{95}{16}=-5\frac{15}{16}$

7 0

3 years ago

Read 2 more answers

What is the area of the parallelogeam

nlexa [21]

I believe it is 2 feet because area is base multiplied by height. So, 3 x 2/3 is 2.

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3 years ago