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3 years ago

How do we get an equation in slope-intercept form?

Mathematics

1 answer:

Viefleur [7K]3 years ago

7 0

Answer:

y = mx + b

Step-by-step explanation:

1. m is the slope (lesson on slope ) mnemonic : 'm' means 'move'

2. b is the y -intercept ( lesson on the y-intercept ) mnemonic : 'b' means where the line begins.

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On average, Mercury is about 57 , 000 , 000 km from the sun, whereas Neptune is about 4.5 x 10^9 from the sun. What is the diffe

Svetlanka [38]

On average, Mercury is about 57,000 ,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Mercury's and Neptune's distance from the sun?

<h3><em><u>Answer:</u></em></h3>

Difference between Mercury's and Neptune's distance from the sun is $4.443 \times 10^9 \text{ km }$

<h3><em><u>Solution:</u></em></h3>

Given that,

Distance of mercury from sun = 57, 000, 000 km

Distance of Neptune from sun = $4.5 \times 10^9 \text{ km }$

To find: Difference between Mercury's and Neptune's distance from the sun

<em><u>Let us convert distance of mercury from sun to scientific notation</u></em>

Scientific notation is used to represent a decimal number between 1 and 10 multiplied by ten, so you can write large numbers using less digits

<em><u>Steps to remember:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b

$57, 000, 000 = 5.7 \times 10^7$

Therefore,

Distance of mercury from sun = $5.7 \times 10^7 \text{ km }$

<em><u>Calculating difference between Mercury's and Neptune's distance from the sun:</u></em>

difference = Distance of Neptune from sun - Distance of mercury from sun

$\text{ difference } = (4.5 \times 10^9) - (5.7 \times 10^7)$

Let us make both powers same

$\text{ difference } = (4.5 \times 10^9) - (0.057 \times 10^9)$

Taking 10 power 9 common we get,

$\text{ difference } = 10^9(4.5-0.057)\\\\\text{ difference } = 10^9 \times (4.443)\\\\\text{ difference } = 4.443 \times 10^9$

Thus difference between Mercury's and Neptune's distance from the sun is $4.443 \times 10^9 \text{ km }$

3 0

4 years ago

The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 65 m2 . find the dimensions of the

kirill115 [55]

10(length) by 6.5(width). 6.5×2=13, 13-3=10

4 0

4 years ago

Find the slope of the line passing through the points (-3, -8) and (4,6).

Dovator [93]

Answer:

<h2>slope = 2</h2>

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have

$(-3;\ -8)\to x_1=-3;\ y_1=-8\\(4;\ 6)\to x_2=4;\ y_2=6$

Substitute:

$m=\dfrac{6-(-8)}{4-(-3)}=\dfrac{6+8}{4+3}=\dfrac{14}{7}=2$

5 0

3 years ago

Read 2 more answers

As a prize for winning a contest, the contestant is blindfolded and allowed to draw 3 dollar bills one at a time out of an urn.

SVEN [57.7K]

Answer:

The probability that none of the $100 bills are selected is 79.6%.

Step-by-step explanation:

The urn contains forty $1 bills and ten $100 bills. This gives a total of 50 bills in the urn.

To draw 3 dollar bills one at a time out of an urn, the probability of not selecting a $100 bill, decreases with each selection.

And the probability of not selecting a $100 bill is the probability of selecting a $1 bill in the first selection = 80% (40/50 x 100).

The probability of selecting a $1 bill the second time = 79.6% (39/49).

The probability of selecting a $1 bill the third time = 79.2% (38/48).

The sum of the probabilities divided by 3 = 79.6% (238.8/3)

b) Probability arises when there is a chance that an event may occur from a set of events that could have occurred. It is based on an estimate that one event happens when all the events in the set are given no less equal chance.

7 0

3 years ago

Estimate by rounding the divisor to the nearest tens place and the dividend to the nearest

tigry1 [53]

Answer:

lil mosey

Step-by-step explanation:

6 0

3 years ago