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diamong [38]
3 years ago
14

Are the two functions parallel, perpendicular, the same equation, or none of these choices? -x-3y= -18 9x-3y= -27

Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0
They are perpendicular. If you normalize both functions into y=ax + b form, you get:

-x-3y=-18 => -3y = -18+x => y= 6 - 1/3 x
9x-3y=-27 -> -3y = -27-9x => y= 9 + 3 x

Just comparing the slopes, you see they are -1/3 and 3, which are each other's negative reciprokes. Negative reciprocal slopes are perpendicular.
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Q3. a cyclist bikes x distance at 10 miles per hour and returns over the same path at 8 miles per hour. what is the cyclist's av
Sladkaya [172]
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.
4 0
4 years ago
What is the discount price os a skateboard that cost $155.80 on sale for 20% off
pshichka [43]
Here's an example of %
20% = 0.2
2% = 0.02

when multiplying with decimals in place you always add up the two periods, 155.8 × 0.2 = 31.16
since the dot is one over for both you add 1 + 1 which equals 2, then when you get 31.16 you move over 2 decimal points, making it 31.16
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6 0
3 years ago
A craft club makes 95 identical paperweights. They got $230.85 from those paperweights. If the profit the club makes is two time
ahrayia [7]

Answer:

the cost of making each paperweight = $0.81

Step-by-step explanation:

First let us calculate the selling price for each paperweight as follows:

total amount gotten = $230.85

number of paperweights = 95

∴ 95 paperweights = $230.85

∴ 1 paperweight = 230.85 ÷ 95 = $2.43

selling price of 1 paperweight = $2.43

Next, let the cost of making 1 paperweight be 'x'

selling price of paperweight = cost of making + profit gotten

The cost of making the paper weight (x) plus the profit made on the paper weight (2x) equals the selling price of each paper weight.

x + 2x = 2.43 (the profit the club makes is two times as much as the cost to make each paperweight)

∴ 3x = 2.43

x = 2.43 ÷ 3 = 0.81

Therefore, the cost of making each paperweight = $0.81

7 0
3 years ago
Please please help help me with my work schedule please please thank you so much no links or files and please be correct
aalyn [17]

Answer:

1) B

2) C

3) True

Hope this helps!

Pls mark brainliest!

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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