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AnnZ [28]
3 years ago
13

X-2y=18 2x+y=6 parallel perpendicular or neither

Mathematics
1 answer:
sergey [27]3 years ago
4 0
<h3>Therefore they are perpendicular.</h3>

Step-by-step explanation:

A equation of line is

y =mx +c

Here the slope of the line is m.

Given equations are

x - 2y = 18

⇔-2y = -x +18

\Leftrightarrow y =\frac{1}{2} x -9............(1)

and 2x + y = 6

⇔y = -2x +6 ............(2)

Therefore the slope of equation (1) is(m_1)= \frac{1}{2}

Therefore the slope of equation (2) is(m_2)= -2

If two lines are perpendicular, when we multiply their slope we get -1.

therefore,

m_1. m_2 =\frac{1}{2}. (-2) = -1

Therefore they are perpendicular.

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Infiniti sells 8 different models of cars, with 5 different trim levels and 5 color choices. What is the total amount of options
solniwko [45]

Answer:

200

Step-by-step explanation:

Infiniti sells 8 different models of cars, with 5 different trim levels and 5 color choices.

Now, 8 different models of cars with 5 different trim levels have (8 × 5) = 40 choices.

Similarly, with  8 different models of cars, with 5 different trim levels and 5 color choices, there will be total (40 × 5) = 200 options one could choose. ( Answer )

4 0
3 years ago
Match each quadratic equation with its solution set.
Luba_88 [7]

Answer:

2x²-32 ⇒ x²=16⇒ (-4,4)

4x²-100 ⇒x²=25 ⇒(-5,5)

x²-55=9 ⇒x²=64 ⇒(-8,8)

x²-140=-19 ⇒x²=121 ⇒(-11,11)

2x²-18=0 ⇒x²=9 ⇒(-3,3)

5 0
3 years ago
Read 2 more answers
Eileen collected 78 empty cans to recycle, and Carl collected 62 cans. They packed an equal number of cans into each of seven bo
AVprozaik [17]

Answer:

20 cans

Step-by-step explanation:

Eileen collected 78 empty cans to recycle

Carl collected 62 empty cans to recycle

They pack equal number of cans in 7 boxes

Therefore the number of cans in each boxes can be calculated as follows.

= 62 + 78/7

= 140/7

= 20

Hence there were 20 cans in each boxes

8 0
2 years ago
What’s the Value for k?
xeze [42]

Answer:

Step-by-step explanation:

The sum of the angles on a straight line is 180 degrees. Therefore,

Angle XYZ + angle MYZ = 180

Angle XYZ + 115 = 180

Angle XYZ = 180 - 115 = 65 degrees

The sum of the angles in a triangle is 180 degrees. It means that

Angle XZY + angle YXZ + angle MYZ = 180

Therefore,

4k + 5 + 6k + 10 + 65 = 180

4k + 6k + 5 + 10 + 65 = 180

10k + 80 = 180

10k = 180 - 80 = 100

Dividing the left hand side and the right hand side of the equation by 10, it becomes

10k/10 = 100/10

k = 10

5 0
3 years ago
What is 3.56 times 82 equals
Pavlova-9 [17]
You would multiply 3.56 by 82 and get 291.92
7 0
3 years ago
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