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3 years ago

How old is the expanded notation method work

1 answer:

3 0

Well,
For example

2.34 * 10^6 will be....
2,340,000
It is because if you have the positive powers, you move your decimal to the right. In this case the power is 6 so you move your decimal to the right 6 times.
Here's another example

1.23 X 10^-2
The answer will be 0.0123 because you move your decimal two the left two times. The power is negative 2 so you move it to the left.

Final tips: If you have positive power, move it to the right and if you have negative power, move it to the left.

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What is the equation of the line passing through the points (-3,7) and (3,3)

Sav [38]

$\text{Given that,}\\\\(x_1,y_1) = (-3,7)~~ \text{and}~~(x_2,y_2) =(3,3)\\\\\\\text{Slope, }~~ m =\dfrac{y_2-y_1}{x_2 - x_1}= \dfrac{3-7}{3-(-3)} = -\dfrac{4}{3+3} = -\dfrac 46 = -\dfrac 23\\\\\\\text{Equation with given points ,}\\\\y- y_1 = m(x-x_1)\\\\\implies y -7 = -\dfrac 23 (x +3)\\\\\implies y -7= -\dfrac 23 x - 2\\\\\implies y = -\dfrac 23 x -2 +7 \\\\\implies y = -\dfrac 23 x +5\\\\\implies 3y = -2x +15 \\\\\implies 2x +3y = 15$

6 0

2 years ago

Read 2 more answers

Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is g

Fittoniya [83]

I attached a diagram that will aid the understanding of the question.

Firstly, I would love to review what a scale factor is before going into the question.

If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.

Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:

1. From P to Q, the scale factor greater than one because Q is bigger than P.

2. From P to R, the scale factor is greater than one for the same reason.

3. From Q to S, the scale factor is less than one because S is smaller than Q.

4. From Q to R, the scale factor is greater than one because R is bigger than Q.

5. From S to P, the scale factor is equal to one because they are equal.

6. From R to P, the scale factor is less than one because p is smaller than R.

7. From P to S, the scale factor is equal to one because they are equal.

7 0

3 years ago

Find the derivative of 9x³ + 4x² + x + 3 at x = 3.

Ilia_Sergeevich [38]

Solution:

268

=============================

$\sf \bold{ \rightarrow } \ y = 9x^3 + 4x^2 + x + 3$

$\sf \bold{ \rightarrow } \ \dfrac{dy}{dx} = \dfrac{d}{dx} ( \ 9x^3 + 4x^2 + x + 3 \ )$

$| | \ \mathrm{ If \ y = x^n , \ then \ \frac{dy}{dx} = nx^{n-1}} \ | |$

$\sf derivative \ of \ constant \ is \ always \ 0 \ || \ \sf\dfrac{d}{dx}\left(a\right)=0 \ ||$

solving step wise

$\sf \bold{ \rightarrow } \ \dfrac{d}{dx} ( 9x^3) + \dfrac{d}{dx}(4x^2) + \dfrac{d}{dx}(x )+ \dfrac{d}{dx}(3 )$

$\sf \bold{ \rightarrow } \ \sf ( 3(9x^{3-1}) +2(4x^{2-1}) + (1)(x^{1-1} )+ 0$

$\sf \rightarrow 27x^2+8x+1+0$

$\sf \rightarrow 27x^2+8x+1$

when x = 3

$\sf \hookrightarrow 27(3)^2+8(3)+1$

$\sf \hookrightarrow 243+24+1$

$\sf \hookrightarrow 268$

8 0

2 years ago

Read 2 more answers

Find the median and mode of the data 75,80,90,100,102,110

marin [14]

Answer:

median: 95

mode: N/A (it's the number that occurs most often. ex: 1, 2, 2, 3 2 would me the mode)

4 0

3 years ago

Read 2 more answers

PLS HELP ITS MATH PLS

erastovalidia [21]

$\: \: \: \: \: \: \: y = \frac{ - 7x}{8} + 4 \\ \: \: \: \: \: \: multiply \: all \: by \: 8 \\ \: \: \: \: \: \: \: \: 8y = - 7x + 32 \\ \: \: \: \: \: \: \: \: \: 7x + 8y = 32$

6 0

2 years ago