Solve this inequality. 8x + 6 x 54
2 answers:
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Answer:
See attachment below
Step-by-step explanation:
For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,
y = - 2 / 3x + 3,
y + 2 / 3x = 3,
2x + 3y = 9 - Option C
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Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.
- 1 = ( - 3 / 2 )( 4 ) + b,
b = 5,
Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,
y = - 3 / 2x + 5,
2y = - 3x + 10,
- 2y = 3x - 10 - Option A
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( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,
Slope = 3 - 1 / 6 - 3 = 2 / 3
Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,
3 = ( 2 / 3 )( 6 ) + b,
b = - 1,
y = 2 / 3x - 1 = Option D
Take a look at the attachment below for further help;
When it comes to dividing decimals, bear in mind that, first off you'd want to do away with the decimal point.
now, "you add as many zeros to the other term, as it has decimals", what the heck does that mean?
for example 2.135 ÷ 5
notice, the 2.135 has three decimals, namely three numbers to the right of the decimal point.
since 2.135 has three decimals, then what we do, we add three zeros to 5, AND do away with the decimal point, thus our division is really
2135 ÷ 5000, which is 0.427
now, if we had 2.135 ÷ 5.79
what we do is, since 2.135 has three decimals, we add three zeros to 5.79, and since 5.79 has two decimals, we add two zeros to 2.135, then our division is really
213500 ÷ 579000 <-- notice, no dot on both
which is about 0.3687392
anyhow, that said, check the picture below
now, "you add as many zeros to the other term, as it has decimals", what the heck does that mean?
for example 2.135 ÷ 5
notice, the 2.135 has three decimals, namely three numbers to the right of the decimal point.
since 2.135 has three decimals, then what we do, we add three zeros to 5, AND do away with the decimal point, thus our division is really
2135 ÷ 5000, which is 0.427
now, if we had 2.135 ÷ 5.79
what we do is, since 2.135 has three decimals, we add three zeros to 5.79, and since 5.79 has two decimals, we add two zeros to 2.135, then our division is really
213500 ÷ 579000 <-- notice, no dot on both
which is about 0.3687392
anyhow, that said, check the picture below
Answer:
19.209 miles from each other.
Step-by-step explanation:
Using this we get: