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svetoff [14.1K]
3 years ago
15

4. Simplify the following using the quotient rule of exponents:

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

31=1/1

33=1/1

30=3/10

3-=-3

Step-by-step explanation:

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Six times the sum of a number and seven is 30. Find the number.
Sedaia [141]

Answer:

x = -2

Step-by-step explanation:

6(x+7)=30

6x+42=30

6x=-12

x=-2

3 0
3 years ago
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the Pythagorean Theorem formula to find the missing side length. You must round your answer to the nearest tenth place (e.g. 10.
Rashid [163]

Answer:

I'm assuming we're solving for the hypotenuse, which is 21.5

Step-by-step explanation:

If a^2+b^2=c^2

Then 19^2+10^2 =461

This is c^2 so we must find the square root of 461

the square root of 461 is 21.47, or 21.5 rounded to the nearest tenth

5 0
2 years ago
Line a is parallel to line b, m 6=85 and m 3=2x. Find m 1.
FromTheMoon [43]
The sum of the angles <6 and <3 must be 180. Since <3 and <1 are opposed to the top, their measure are equal. We need then to calculate the measure of angle >3 = 180 - <6 = 180-85=95

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8 0
3 years ago
Draw 8 lines that are between 1 inch and 3 inches long. Measure each line to the nearest fourth inch, and make a line plot.
IRISSAK [1]

The length of the line is the difference between the endpoints of the line

The length of each line to the nearest fourth inch is 0.25 inch

<h3>How to measure the length of each line</h3>

The length of the horizontal line is given as:

Length = 2 inches

This is calculated as:

Length = 3 inches - 1 inch

Length = 2 inches

8 lines are to be drawn between the 1 inch and 3 inches point.

So, the length (l) of each line is:

l = \frac{2\ inches}{8}

Simplify the fraction

l = \frac{1\ inches}{4}

Divide

l = 0.25\ inch

Hence, the length of each line to the nearest fourth inch is 0.25 inch

Read more about line measurements at:

brainly.com/question/14366932

6 0
2 years ago
Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9
Katena32 [7]

Given :-

  • y varies directly as x, and y=14 when x=4.

To Find :-

  • the value of y when x=9 .

Solution :-

<u>A</u><u>c</u><u>c</u><u>o</u><u>r</u><u>d</u><u>i</u><u>n</u><u>g</u><u> </u><u>t</u><u>o</u><u> </u><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>,</u>

  • y = kx ( k is constant )

<u>When</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>4</u><u> </u><u>a</u><u>n</u><u>d</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>4</u><u> </u><u>,</u>

  • 14 = k(4)
  • k = 14/4
  • k = 7/2

<u>W</u><u>h</u><u>e</u><u>n</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>9</u><u> </u><u>,</u>

  • y = 7/2*9
  • y = 63/2
  • y = 31.5
8 0
2 years ago
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