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just olya [345]
3 years ago
13

Which of the following is the correct classification of the system of equations below?Which of the following is the correct clas

sification of the system of equations below?
A. parallel



B. coincident



C. intersecting

Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0

Answer: Hence, Option 'c' is correct.

Step-by-step explanation:

Since we have given that

-x+2y=10\\\\6y=-12x+1\\\\\implies 12x+6y=1

First we find the ratio of coefficients per variable and constant:

\dfrac{a_1}{a_2}=\dfrac{-1}{12}

and

\dfrac{b_1}{b_2}=\dfrac{2}{6}=\dfrac{1}{3}

and

\dfrac{c_1}{c_2}=\dfrac{10}{1}

Since we can see that all three are not equal to each other i.e.

\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}

so,it is considered as intersecting lines.

Hence, Option 'c' is correct.

Xelga [282]3 years ago
5 0
-x + 2y = 10
6y = -12x + 1

6y = -12x + 1
 6           6
  y = -2x + ¹/₆

                 -x + 2y = 10
    -x + 2(-2x + ¹/₆) = 10
-x + 2(-2x) + 2(¹/₆) = 10
           -x - 4x + ¹/₃ = 10
                -5x + ¹/₃ = 10
                       - ¹/₃   - ¹/₃
                       -5x = 9²/₃
                        -5     -5
                          x = -1¹⁴/₁₅

y = -2x + ¹/₆
y = -2(-1¹⁴/₁₅) + ¹/₆
y = 3¹³/₁₅ + ¹/₆
y = 4¹/₃₀
(x, y) = (-1¹⁴/₁₅, 4¹/₃₀)

It is intersecting, making the answer equal to C.

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The Suarez family paid $16.50 for 3 movie tickets. How much would they have paid for 12 tickets?
Dominik [7]

Answer:

It will cost 66 dollars for 12 tickets

Step-by-step explanation:

We can write a ratio to solve.

16.50       x

-------- = ----------

3            12

Using cross products

12 * 16.50 = 3x

198 = 3x

66 = x

It will cost 66 dollars for 12 tickets

3 0
2 years ago
Pls answer first one to get it right and show work will get brainliest thanks :3
Setler79 [48]

Answer:

x=−12/5

Step-by-step explanation:

2(1.5x−2)=−0.5(−4x−32)

Step 1: Simplify both sides of the equation.

−2(1.5x−2)=−0.5(−4x−32)

(−2)(1.5x)+(−2)(−2)=(−0.5)(−4x)+(−0.5)(−32)(Distribute)

−3x+4=2x+16

Step 2: Subtract 2x from both sides.

−3x+4−2x=2x+16−2x

−5x+4=16

Step 3: Subtract 4 from both sides.

−5x+4−4=16−4

−5x=12

Step 4: Divide both sides by -5.

−5x−5

=12/−5

x=−12/5

7 0
2 years ago
Please helloollllllppppp
ipn [44]
Total blocks = 35+47+22+21 = 125

Sum of red blocks and green blocks = 47+35 = 82

So the probability = 82/125 = 0.656
3 0
3 years ago
Read 2 more answers
Can you plz help me I don’t get it
levacccp [35]

35 feet.

\frac{mailbox height}{mailbox shadow}  

=

\frac{pinetree height}{pinetree shadow}

\frac{3}{4.8} = \frac{h}{56}

1.8<em>h</em> = 3 x 56

4.8<em>h</em> = 168

<em />

<em>h</em> = 35 feet.

5 0
2 years ago
Read 2 more answers
Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?
worty [1.4K]

Answer:

4

Step-by-step explanation:

(x+y+z)(xy+xz+yz)=18 Equation 1

x^2(y+z)+y^2(x+z)+z^2(x+y)=6 Equation 2

What is the value of xyz where each variable represents a real number?

Let's expand equation 1:

(x+y+z)(xy+xz+yz)=18

x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18

Simplify each term if can:

x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have x^2 and if I factored x^2 from first two terms I would have x^2(y+z) which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18

Factor the variable squared terms out of each binomial pairing:

x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

6+xyz+xyz+xyz=18

Combine like terms:

6+3xyz=18

Subtract 6 on both sides:

3xyz=12

Divide both sides by 3:

xyz=4

4 0
3 years ago
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