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levacccp [35]
3 years ago
6

Enter numbers to write 13,000 in scientific notation. 13,000=1.3 × =1.3×10

Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

104 = 10,000 x 1.3 = 13,000

Step-by-step explanation:

step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 13,000

New Number: 1.3000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 3 0 0 0

Decimal Count:   1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.3 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

1.3 x 104

Step 4

Check your work:

104 = 10,000 x 1.3 = 13,000

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Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

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

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

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10 months ago
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The correct answer is 
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In fact, this is a trinomial of the form ax^2-bx+c, whose solutions are given by
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Using this formula for the trinomial of the problem, we find:
x1,2=  \frac{6 \pm \sqrt{6^2-4\cdot 1\cdot 9}}{2} =3
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</span>
8 0
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The product of x and the sum of 6 and 8 times the square of x
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Let's separate this problem into several parts:

1. The product of x

AND

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So translating this word problem into numbers, we have:

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so that is:

x * 14 * x²

which is:

14x^(2+1) = 14x³

8 0
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Read 2 more answers
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