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GREYUIT [131]
3 years ago
8

The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is

Mathematics
1 answer:
hammer [34]3 years ago
7 0

Answer:

That should be <em>2x</em><em> </em><em>+</em><em> </em><em>5y</em><em> </em><em>=</em><em> </em><em>20</em><em>.</em><em> </em>

Step-by-step explanation:

First, you have to correct this: y + 7 = -⅖(x - 10). Now, first convert to Slope-Intercept Form by moving -7 to the other side of the equivalence symbol to get <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em>⅖x</em><em> </em><em>+</em><em> </em><em>4,</em><em> </em>then finally convert to Standard Form by moving <em>⅖x</em> to the other side of the equivalence symbol to end up with<em> </em><em>⅖x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>4.</em><em>.</em><em> </em>Now, there is an extended step when it comes to fractional coefficients, and that is multiplying the whole equation by the denominator to get rid of the denominator being there in the first place, REALLY ending with <em>2x</em><em> </em><em>+</em><em> </em><em>5y</em><em> </em><em>=</em><em> </em><em>20</em><em>.</em>

BUT, if your assignment says otherwise, then the first looks correct. I hope this helps.

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Two adjacent sides of a parallelogram are 6mm and 10mm respectively, and they form an angle measuring 60. Find the area of the p
Snowcat [4.5K]

Answer:

51.96 mm² approximately

Step-by-step explanation:

the first thing you should know is that the area of a rectangle is base*height sin of (

the included angle i.e

Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°

<em>Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:</em>

Aparallelogram= bh sin of sin of the included angle

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately

4 0
3 years ago
Find the unit rate 6 and 2/5 revolutions in 2 and 2/3 in seconds
Makovka662 [10]

<u>Step 1</u>

Convert mixed fractions into fractions

6 2/5 = (6*5)+2) / 5 = 32/5

2 2/3 = (2*3)+2) / 3 = 8/3

<u>Step 2</u>

32/5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction

<u>Step 2 (A)</u>

Get the reciprocal of the 2nd fraction:

From 8/3 to 3/8

<u>Step 2 (B)</u>

Multiply 1st fraction to the reciprocal of the 2nd fraction

32/5 * 3/8 = (32*3) / (5*8) = 96/40

<u>Step 2 (C)</u>

Simplify the fraction

96/40 divide by 4 will become 24/10

24/10 divide 2 will become 12/5. The simplest fraction of 96/40

The unit rate is 12/5 = 2 2/5 revolutions per second

3 0
3 years ago
Hey can someone please help explain and answer this 1 question. There's a picture. Thank you!
zmey [24]
//You can substitute some values in to find out, for example (1, -5) and (5, -5) are good.
Using this method, you can deduce that it would be A
3 0
3 years ago
4i+4-2i+10<br> whats the answer to this equation 0_0
N76 [4]

Answer:

2i + 14

Step-by-step explanation:

4i + 4 - 2i + 10

combine like terms

2i + 14

3 0
3 years ago
Read 2 more answers
The measures of ∠x and ∠y are equal. Which is the value of m?
morpeh [17]
There is no way to tell because there is no value for x and y. However just looking at the picture, I’m guessing m is around 45 degrees.
4 0
3 years ago
Read 2 more answers
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