For the sake of example, let's multiply the two numbers

and

together. Altogether, we have:

Rearranging the expression, we can group the exponents and coefficients together:

Multiplying each out, we notice that since

and

have the same base (10), multiplying them has the effect of adding their exponents, which leaves us with:

The takeaway here is that multiplying two numbers in scientific notation together has the effect of multiplying its coefficients and <em>adding</em> its exponents.
Answer:
<h2>x = 1</h2>
Step-by-step explanation:
Look a t the picture.
The triangles on the picture are similar.
Therefore the sides are in proportion:
<em>cross multiply</em>

<em>divide both sides by 40</em>

Answer:
A right angle measures 90°.
A supplementary angle is twice the measure of a complementary angle.
Step-by-step explanation:
Since the product of the slope is -1, hence the lines are perpendicular
<h3>Parallel and Perpendicular lines</h3>
Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1
Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;
Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3
Similarly for the coordinate points (-1, -7) and (1, -1).
Slope = -1+7/1+1
Slope of line 2 = 6/2
Slope = 3
Take the product of the slopes
Slope = -1/3 * 3
slope = -1
Since the product of the slope is -1, hence the lines are perpendicular
Learn more on parallel and perpendicular lines here: brainly.com/question/25429151
#SPJ1
Evaluate 2(x + 1) - 3 when x = 6.
First, plug in x value.
2(6 + 1) -3 ParenthesisEMDAS
2(7) - 3 PEMultiplyDAS
14 - 3 PEMDASubtract
11 ←