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Sunny_sXe [5.5K]
3 years ago
8

2x + 3y = 3 y = 8 – 3x

Mathematics
1 answer:
pentagon [3]3 years ago
8 0
2x + 3y = 3 y = 8 – 3x                     
we have 2 equations

first equations: <span>2x + 3y = 3 y
</span>the second equation: 3y = 8 – 3x => <span>8-3x=3y
</span><span>------------------------------------------------------------
2x+3y=3y</span>2x=3y-3y
2x=0
x=0

8-3x=3y
8-0=3y
8=3y
y=8/3

S={x=0 ; y=8/3 } 

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determine whether the lines intersect and if so find the point of intersection and the cosine of the angle of intersection x=4t+
Fittoniya [83]

Answer:

As the lines are not intersecting nor parallel, they must be skew.

Step-by-step explanation:

Question is incomplete, we consider the nearest match available online.

Parametric equations of two lines are:

L₁ : x=4t+2 , y = 3 , z =-t+1

L₂: x=2s+2 , y= 2s+5 , z = s+1

If lines are parallel then parametric coordinates must be equal scalar multiple of each other which s not true here.

4t+2=2s+2 ---(1)\\ \\3=2s+5---(2) \\\\-t+1=s+1---(3)

If lines are intersecting then parametric coordinates must be equal for some value of t and s.

From (3)\\-t=s\\From (2)\\\\s=\frac{3-5}{2}\\\\s=-1\\\implies t=1\\\\To\,\,check\,\, the \,\,values \,\,of \,\,s\,\, and \,\,t \,\,for\,\,intersection\,\,put \,\,them\,\, in\,\, (1)\\\\4(1)+2= 2(-1)+2\\ 6\ne0

Hence the lines are not intersecting nor parallel, they must be skew.

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7 is the answer for both
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What is the final amount if 468 is increased by 8% followed by a further 9% increase? Give your answer rounded to 2 DP.
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550.93

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468*1.08*1.09= 550.93

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Step-by-step explanation:

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3 years ago
Flexural strength is a measure of a material's ability to resist failure in bending. The accompanying data are on flexural stren
marysya [2.9K]

Answer:

Stem   Leaf

5       |  7

6       | 3 3 5 8 8

7       | 0 0 2 3 4 6 7 7 8 8 9

8       | 1 2 7

9       | 0 7 7

10     | 9

11      | 4 6 8

Notation: 5|7 means 5.7 and 11|4. means 11.4

Step-by-step explanation:

For this case we have the following data:

5.7 7.2 7.3 6.3 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.0  8.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.4 11.8 10.9

The first step on this case is order the dataset on increasing way:

5.7  6.3  6.3  6.5  6.8  6.8  7.0  7.0  7.2  7.3  7.4  7.6  7.7  7.7  7.8  7.8  7.9  8.1  8.2  8.7  9.0  9.7  9.7 10.9 11.4 11.6 11.8

Then we can construct the stem leaf plot like this:

Stem   Leaf

5       |  7

6       | 3 3 5 8 8

7       | 0 0 2 3 4 6 7 7 8 8 9

8       | 1 2 7

9       | 0 7 7

10     | 9

11      | 4 6 8

Notation: 5|7 means 5.7 and 11|4. means 11.4

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3 years ago
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