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Mrac [35]
2 years ago
7

Find a Cartesian equation for the curve.

Mathematics
1 answer:
Galina-37 [17]2 years ago
6 0

r = 3sec( \alpha ) \\ r =  \frac{3}{cos( \alpha )}

x = rcos( \alpha ) \:  \:  \:  \:  \:  \:  \: cos( \alpha ) =  \frac{x}{r}

r =  \frac{3}{ \frac{x}{r} }  \\ r =  \frac{3r}{x}  \:  \:  \:  \:  \:  \: x = 3 \\ line

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8000000000000000 minus 280000000000000 In standard form
zavuch27 [327]

Answer:

7.72 * 10^15

Step-by-step explanation:

8*10^15 - 2.8*10^14 = 7.72 * 10^15

5 0
3 years ago
Lin solved the equation 8 (x - 3) +7= 2x (4 - 17) incorrectly.
svet-max [94.6K]

Answer:

Her final answer should have been x = 1/2.

Step-by-step explanation:

Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.

Correct solution:

8(x-3)+7=2x(4-17)

8x-24+7=8x-34x

-17=-34x

The negatives on both sides cancel each other out

x = 1/2

5 0
3 years ago
Read 2 more answers
At the local gas station gasoline costs $2.75 for per gallon and diesel costs $3.02 per gallon. Gabriel needs to purchase 15.2 g
Ainat [17]

Answer:

The total amount paid by Gabriel at the local gas station is $70.49.

Step-by-step explanation:

Cost of gasoline per gallon = $2.75

Cost of diesel per gallon = $3.02

Amount of gasoline Gabriel needs = 15.2 gallons

Amount of diesel Gabriel needs = 9.5 gallons

Compute the total amount paid by Gabriel at the local gas station as follows:

Total Cost = Cost of gasoline × Amount of gasoline

                           + Cost of diesel × Amount of diesel

                =(2.75\times 15.2)+(3.02\times 9.5)\\\\=41.8+28.69\\\\=70.49

Thus, the total amount paid by Gabriel at the local gas station is $70.49.

7 0
3 years ago
I NEED HELP PLEASE HELP ME
CaHeK987 [17]

Answer:

6 donuts

Step-by-step explanation:

first divide the cost of the donuts by the amount of donuts per box

6 donuts:

2.10 ÷ 6 = .35 per donut

12 donuts

5.40 ÷ 12 = .45 per donut

18 donuts

7.20 ÷ 18 = .40 per donut

24 donuts

12 ÷ 24 = .50 per donut

3 0
3 years ago
Match the equations with their solutions over the interval [0, 2π].
nignag [31]

I solved this using a scientific calculator and in radians mode since the given x's is between 0 to 2π. After substitution, the correct pairs are:

cos(x)tan(x) – ½ = 0 → π/6 and 5π/6

cos(π/6)tan(π/6) – ½ = 0

cos(5π/6)tan(5π/6) – ½ = 0

 

sec(x)cot(x) + 2 = 0 → 7π/6 and 11π/6

sec(7π/6)cot(7π/6) + 2 = 0

sec(11π/6)cot(11π/6) + 2 = 0

 

sin(x)cot(x) + 1/sqrt2 = 0 → 3π/4 and 5π/4

sin(3π/4)cot(3π/4) + 1/sqrt2 = 0

sin(5π/4)cot(5π/4) + 1/sqrt2 = 0

 

csc(x)tan(x) – 2 = 0 → π/3 and 5π/3

csc(π/3)tan(π/3) – 2 = 0

csc(5π/3)tan(5π/3) – 2 = 0

5 0
3 years ago
Read 2 more answers
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