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egoroff_w [7]
3 years ago
11

Classify the system of equations 3x+y-1=0 1/3x+y-6=0 A. intersecting B. parallel C.coincident

Mathematics
2 answers:
barxatty [35]3 years ago
7 0

Answer: Intercepting.


Step-by-step explanation:

 1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.

2. As you can see the lines intersect each other, this means that the system of equation has one solution and the lines are intersecting.

 3. Therefore, the answer is the option A: Intersecting.



faust18 [17]3 years ago
6 0

Answer:

The correct option is A.

Step-by-step explanation:

The given equations are

3x+y-1=0

\frac{1}{3}x+y-6=0

If a line is defined as

ax+by+c=0

then the slope of line is

m=-\frac{a}{b}

The slope of first line is

m_1=-\frac{3}{1}=-3

The slope of second line is

m_1=-\frac{\frac{1}{3}}{1}=-\frac{1}{3}

The slopes of lines are not same, therefore the lines are neither parallel nor coincident. The lines are intersecting each other. Option A is correct.

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4 years ago
A rectangle has a length that is 3 more than the width. If the area of the rectangle is 28 units squared, what are the dimension
Alona [7]

you can think this

WL = 28

L=3w + 8

W( 3W +8) = 28

3 W^2 + 8W + = 28

3W^2 + 8W -28 = 0 (1)

3 W^2 - 6 W + !4 W -28 =0-

3 W ( W - 2 ) + 14 ( W -2) =0

(3W+ 14) ( w-2) = 0

w = 2 L = 3(2) + 8 = 14 , then LW =28

ignore the negative answer of w = -14/3

If we write all factors of 28 { 2, 4 , 7, 14)

We see that 28 = 2 * 14 , 14 = 2* 3 + 8

Therefore we can have a rectangle with area of 28 units, with 2, 14 be its dimension , and have the

property of L = 2*3 +8 (

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Nicole B. answered • 01/18/14

TUTOR 4.9 (82)

Change Challenges into SUCCESS! All Ages and Stages + TEST PREP

SEE TUTORS LIKE THIS

Hi Victoria,

Area=Length x width= 28 sq in

L=8+3w

So substitute that back into the equation:

Area = L x W

28 sq in = (8+3w) x w

28 sq in = 8w +3w2

28 sq in = w (8 + 3w)

Possible factors of 28 are 2 and 14 or 4 and 7, and 1 and 28. Substituting the possibilities in the equation, we find that the correct set of factors are 2 and (8 + 3*2) or 14.

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Arthur D. answered • 01/18/14

TUTOR 4.9 (67)

Mathematics Tutor With a Master's Degree In Mathematics

ABOUT THIS TUTOR ›

w=width

l=3w+8

A=l*w

28=(3w+8)(w)

28=3w^2+8w

3w^2+8w-28=0

(3w+14)(w-2)=0

3w+14=0

3w=-14

w=-14/3, disregard this answer because it is negative

w-2=0

w=2

l=3*2+8

l=14

check: 28=14*2=28

l=14 inches

w=2 inches

14 is 8 more than 3 times 2 !

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Tom D. answered • 01/18/14

TUTOR New to Wyzant

Very patient Math Expert who likes to teach

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1) A=LW = 28 in

2) L = 3W + 8

Substitute L = 28/W into the 2nd equation

28/W = 3W + 8

28 = 3W^2 + 8W

3W^2 + 8W - 28 = 0

(3W+ 14)(W - 2) = 0

Note that the answer must be positive therefore the second 'zero' is the answer

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Find the slope of the line that passing through the points (-3,-8) and (5,6)
Rasek [7]

Answer:

slope=7

Step-by-step explanation:

m=y^2-y^1 / x^2-x^1

m=6--8/5-3=14/2=7

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