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3 years ago

Write the number 4.2 x 10^2 in standard form.

Mathematics

1 answer:

Sav [38]3 years ago

6 0

Answer:

420 (lol)

Step-by-step explanation:

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Solve for x. -1/3(4x+2)=1/3(x+11)

sineoko [7]

Answer:

X= -13/5

Step-by-step explanation:

i hope this helps :)

6 0

2 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

What is the mean absolute deviation for 7, 5, 1, 6, 2, and 3?

Gwar [14]

7, 5, 1, 6, 2 Mean Absolute Deviation = 2.16

3, 6, 3, 2, 1 Mean Absolute Deviation = 1.2

3 0

3 years ago

Which sets of side lengths represent Pythagorean triples? Check all that apply.

marshall27 [118]

Answer:

08, 15, 17

Step-by-step explanation:

Use the Pythagorean theorem.

Where the sum of both legs squared is equal to the hypotenuse squared.

8² + 15² = 17²

64 + 225 = 17²

289 = 17²

289 = 289

The side lengths that represent Pythagorean triplets are 08, 15, 17.

8 0

3 years ago

What’s the answer for this question that’s in the picture below

Annette [7]

The answer is 140.

For every 4 toys the price increases by 20. If you divide, we find that every toy is worth 5. For example, if the amount of toys increases by 10, then the cost increases by 50. Since 20 is the closest given example being only 10 toys away, you can just add 50 onto the cost of the toys to get 140.

8 0

2 years ago