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daser333 [38]
4 years ago
11

Write <,>,= 6,200ft_1mi 900ft

Mathematics
1 answer:
Ksivusya [100]4 years ago
5 0

Step-by-step explanation:

6,200ft is greater than 1mi 900ft if i wrong sorry

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Please help with multiplying binomials! Show your work!<br> (3n+2)(n+3)
snow_tiger [21]
To multiply binomials, use the FOIL method. You start by multiplying the first terms in each binomial, 3n * n. The F stands for first. 

Then you multiply the outside terms, 3n * 3. The O stands for outsides.

Then you multiply the inside terms, 2 * n. The I stands for insides

Then you multiply the last terms, 2 * 3. The L stands for last

Now solve for each, place them in the same equation, and combine like terms.

3n * n = 3n²
3n * 3 = 9n
2 * n = 2n
2 * 3 = 6

Your equation becomes 3n² + 9n + 2n + 6. 

The 9n and 2n can combine together because they are like terms. Your answer becomes:

3n² + 11n + 6
7 0
4 years ago
Determine the equation of the line that is parallel to the given line, through the given point.
Verdich [7]

Answer:

y=-\frac{3}{2}x+1

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

3x+2y = 10

First, we must organize this given equation in slope-intercept form. This will help us identify its slope.

3x+2y = 10

Subtract 3x from both sides

2y = -3x+10

Divide both sides by 2

y = -\frac{3}{2} x+5

Now, we can identify clearly that -\frac{3}{2} is in the place of <em>m</em> in y=mx+b, making it the slope. Because parallel lines have the same slope, this makes the slope of the line we're currently solving for -\frac{3}{2} as well. Plug this number into y=mx+b:

y=-\frac{3}{2}x+b

<u>2) Determine the y-intercept (b)</u>

y=-\frac{3}{2}x+b

Plug in the given point (8,-11) and solve for b

-11=-\frac{3}{2}(8)+b\\-11=-\frac{24}{2}+b\\-11=-12+b

Add 12 to both sides

1=b

Therefore, the y-intercept of the line is 1. Plug this back into y=-\frac{3}{2}x+b:

y=-\frac{3}{2}x+1

I hope this helps!

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