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love history [14]
3 years ago
7

Complete the third step to solve the equation.

Mathematics
2 answers:
Fantom [35]3 years ago
6 0
X equal one over eight
AlekseyPX3 years ago
5 0

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

You might be interested in
write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the poin
Burka [1]

Answer:

y=\frac{2}{3}x-\frac{16}{3}

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-2,5) and (-4,8)

substitute the values in the formula

m=\frac{8-5}{-4+2}

m=\frac{3}{-2}

m=-\frac{3}{2}

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

m_1*m_2=-1

m_1=-\frac{3}{2} ----> slope of the given line

therefore

m_2=\frac{2}{3} ---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{2}{3}

point\ (-1,-6)

substitute

y+6=\frac{2}{3}(x+1)

step 3

Convert to slope intercept form

y=mx+b

isolate the variable y

y+6=\frac{2}{3}x+\frac{2}{3}

y=\frac{2}{3}x+\frac{2}{3}-6

y=\frac{2}{3}x-\frac{16}{3}

4 0
4 years ago
Tam take 2 hours to cycle 20km.Find his average speed in m/s
pentagon [3]
I think this is how you're supposed to do it

20,000/120 = 166.66666666666667 m/s
5 0
3 years ago
A parking lot in the shape of a trapezoid has an area of 12052.1 square meters. The length of one base is 82.4 meters, and the l
vagabundo [1.1K]
82.4+108.6=191 and 12052.1 divided by 191=63.1


So the answer is 63.1
8 0
3 years ago
A bag contains 28 counters all of different colours. Colin chooses one counter and gives it to
yawa3891 [41]

Answer:

756 ways

Step-by-step explanation:

Given

Counters = 28

Selection = 2

Required

Determine the number of ways

The first counter can be selected in 28 ways

The second can be selected in (28 - 1) ways

The number of selection is:

Selection = 28 * (28 -1)

Selection = 28 * 27

Selection = 756

<em>Hence, number of possible selection is 756</em>

6 0
3 years ago
Find the 100th term to 1,3,9,27​
shusha [124]

Answer:

The n-th term of this sequence appears to be

3

n

−

1

,

n

≥

1

.

Step-by-step explanation:

These are powers of

3

ordered from

3

0

=

1

to

3

a

(for an integer

a

≥

1

). However, the first convenient value for

n

is

1

, not

0

(imagine saying the 0th term of a sequence). Because of that, since the first term is actually

3

0

, we need to start from the first term (

n

=

1

) being

3

1

−

1

. The next is

3

2

−

1

,

3

3

−

1

...

3

n

−

1

.

6 0
3 years ago
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