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3 years ago

3x+2y=6 and y=1/3x-11 perpendicular or parallel

1 answer:

6 0

Answer: To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.

For two lines y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate k1 and k2.

To calculate the slope k of any line, you have to change the equation to y=kx+b

For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))

For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)

Now you can get the answer: The two lines neither parallel nor perpendicular.

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What is the sign of -4+-8? Choose 1 answer: Positive Со B Negative Zero

Elodia [21]

Answer:

Negative

Step-by-step explanation:

negative

-4

-8

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-12

negative

6 0

3 years ago

5/2.35 = x/12 what does x=

postnew [5]

Answer:

$x = \frac{60}{2.35}$ or $x = 25.531...$

Step-by-step explanation:

Step 1: Cross Multiply

$\frac{5}{2.35} = \frac{x}{12}$

$5(12) = 2.35(x)$

$60 = 2.35x$

Step 2: Divide both sides by 2.35

$60 / 2.35 = 2.35x / 2.35$

$x = \frac{60}{2.35}$ or $x = 25.531...$

Answer: $x = \frac{60}{2.35}$ or $x = 25.531...$

5 0

3 years ago

3. Lonnie has a gift card worth $600 for a local entertainment store. Movies cost $20 each and newly released video games cost $

Mandarinka [93]

Answer:

8 movies and 6 video games

Step-by-step explanation:

Given

$Gift\ Card = \$600$

$Movies =\ $20$

$Video\ Game = \$50$

$Minimum\ Items = 13$

Required

Determine the items Lonnie can afford

To solve this question, we make use of trial by error method by taking the options one at a time:

Option 1: 6 movies and 4 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 2: 14 movies and 7 video games

$Cost = 14 * \$20 + 7 * \$50$

$Cost = \$280 + \$350$

$Cost = \$630$

This option can not be considered because the cost of purchase is greater than Lonnte's worth of Gift card.

Option 3: 2 movies and 10 video games

This option can not be considered because the number of items is not up to the minimum Lonnte must purchase.

Option 4: 8 movies and 6 video games

$Cost = 8 * \$20 + 6 * \$50$

$Cost = \$160 + \$300$

$Cost = \$460$

Hence, the correct option is 8 movies and 6 video games

4 0

3 years ago

The volume of a cube is 1, 953.125 centimeters cubed. Find the length of the sides. Round to the nearest tenth.

Shtirlitz [24]

1953.13 is the length of the sided

6 0

3 years ago

plzzzzzzz help if u know how to do this! anyone know how to do this? I need help and I'm giving 30 points

Leviafan [203]

Answer: D

Step-by-step explanation: If you turn all of them into decimals (with 2 decimal places) then you cacn order them from least to greatest. With negatives, it is the other way.

3 0

3 years ago