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Mathematics

2 answers:

Alenkinab [10]3 years ago

5 0

Answer:

(4x10^1)(2x10^4)

=40^1 × 20^4

=800^5

PtichkaEL [24]3 years ago

5 0

Answer:

8 x 10^5

Step-by-step explanation:

We can start by grouping the powers of ten together and the other numbers together, as you can move numbers around when multiplying:

4 x 2 x 10^1 x 10^4

4 multiplied by 2 is 8, so we can put that in:

8 x 10^1 x 10^4

Next, using the product rule, 10^1 x 10^4 would be ten to the power of the sum of the two exponents, or 10^(4 + 1), which is 10^5.

We will be left with

8 x 10^5

This is in scientific notation, so no further modification is needed.

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Write an equation of the line below.

Lubov Fominskaja [6]

Answer (<u>assuming it can be in slope-intercept form)</u>:

$y = \frac{4}{5} x$

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula $m = \frac{y_2-y_1 }{x_2-x_1}$ and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

$m = \frac{4-0}{5-0} \\m = \frac{4}{5}$

So, the slope is $\frac{4}{5}$ .

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the $y = mx + b$ format. The number in place of $m$ represents the slope, so substitute $\frac{4}{5}$ in its place. The number in place of $b$ represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation: