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iren2701 [21]
4 years ago
6

Select the correct answer from each drop-down menu. Consider this system of equations: -3x + 5y = 22 (equation 1) 20y − 11 = 12x

(equation 2) This system of linear equations represents a. coincidental b. Intersecting c. parallel lines. The system of equation 1 and the equation 20y = 12x + 88 represents a. coincidental b. Intersecting c. parallel lines.
Mathematics
2 answers:
dedylja [7]4 years ago
8 0

Answer with Step-by-step explanation:

If two lines on the same plane have different slopes, they are intersecting lines.

If two equations can be transformed to one form and they are equal, they are coinciding lines.

for parallel lines their slope (m) must be equal and their y-intercept (b) must be different.(y=mx+b)

-3x + 5y = 22 (equation 1) or 5y=22+3x

or y=\dfrac{3}{5}x+\dfrac{22}{5}

20y − 11 = 12x (equation 2)

or 20y=12x+11

y=\dfrac{12}{20}x+\dfrac{11}{20}\\\\or\ y=\dfrac{3}{5}x+\dfrac{11}{20}

Hence, we can see clearly the two lines have same slope 3/5 but y intercept is different

So, two lines are parallel

Hence, Correct option is:

c. parallel lines

KiRa [710]4 years ago
4 0

(1st):

-3x + 5y = 22

5y = 3x + 22

y = 3/5 x + 22/5; slope = 3/5

(2nd):

20y − 11 = 12x

20y = 12x + 11

y = 12/20 x + 11/20

y = 3/5 x + 11/20; slope = 3/5

Both lines have same slope so both lines are parallel.

Answer: c. parallel lines.

--------------------

The system of equation 1: -3x + 5y = 22 has slope = 3/5

20y = 12x + 88

20y = 12x + 88

y = 12/20 x + 88/20

y = 3/5 x + 22/5. slope = 3/5

Both have same slope

Answer

c. parallel lines.

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Jill collected a total of 19 gallons of honey.if she distributes all of the honey equally between 9 jars,how much honey will be
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2.1 gaallons of honey

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8 0
3 years ago
Which two equations are true?(2×10−4)+(1.5×10−4)=3.5×10−4(3×10−5)+(2.2×10−5)=6.6×10−10 (6.3×10−1)−(2.1×10−1)=3×10−1(5.4×103)−(2.
tiny-mole [99]

let me edit your question as:

Which two equations are true?

<u>Eq1:</u>

(2×10−4)+(1.5×10−4)=3.5×10−4(3×10−5)+(2.2×10−5)

<u>Eq2:</u>

6.6×10−10(6.3×10−1)−(2.1×10−1)=3×10−1(5.4×103)−(2.7×103)

<u>Eq3:</u>

2.7×103(7.5×106)−(2.5×106)=5×100

Answer:

No one is true

Step-by-step explanation:

let's check each equation, if the values on both sides (left and right side) are equal then the equation is true otherwise false.

Using PEMDAS rule we are simplifying the equations as;

<u>Eq1:</u>

(2*10-4)+(1.5*10-4)=3.5*10-4(3*10-5)+(2.2*10-5)\\(16)+(11)=35-4(25)+(17)\\27=35-100+17\\27=-48\\

<u>Eq2:</u>

<u></u>6.6*10-10(6.3*10-1)-(2.1*10-1)=3*10-1(5.4*103)-(2.7*103)\\66-10(62)-(20)=30-1(556.2)-278.1\\66-620-20=30-556.2-278.1\\-574=-804.1<u></u>

<u>Eq3:</u>

2.7*103(7.5*106)-(2.5*106)=5*100\\221089.5-265=500\\220824.5=500\\

<u>we observed that none of the equation has two same values on both sides thus none of the three equations is true.</u>

<u>Also, no value of Eq1, Eq2 or Eq3 are same thus none of the equation is true</u>

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