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Paha777 [63]
3 years ago
5

Determine e, k, and identify the type of conic for r= 12/ 7- cos theta

Mathematics
1 answer:
nlexa [21]3 years ago
7 0

Answer:

The answer is (d) ⇒ e = 1/7 , k = 12 , conic ellipse

Step-by-step explanation:

∵ r = ek/(1 ± ecosФ)

∵ r = 12/(7 - cosФ) ⇒ ÷ 7 up and down

∴ r = 12/7 ÷ 1 - 1/7 (cosФ)

∴ e = 1/7

∵ 12/7 = ke ⇒ 12/7 = k(1/7)

∴ k = 12

∵ 0 < e < 1

∴ The conic is ellipse

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Each problem is worth 10 points each. (For each problem show your work and give a brief explanation of how you solved your probl
maxonik [38]
It’s a big problem it’s deserve 20 points you can’t play people make it fair
5 0
3 years ago
A herd of dinosaurs made paintings in the sand with their claws. Each baby dinosaur made 1515 paintings and each adult dinosaur
mart [117]

Answer:

4 adult dinosaurs and 12 baby dinosaurs.

Step-by-step explanation:

Let the number of adult dinosaurs be x.

Number of baby dinosaurs = 3x

Number of paintings made by each baby dinosaur = 15

Number of paintings made by each adult dinosaur = 7

Total number of paintings made by 3x baby dinosaurs = Number of baby dinosaurs * Number of paintings made by each baby dinosaur

= 3x * 15

= 45x

Total number of paintings made by x adult dinosaurs = Number of adult dinosaurs * Number of paintings made by each adult dinosaur

= x * 7

= 7x

Total number of paintings made by both baby and adult dinosaurs = 45x + 7x

= 52 x

Again the problem says that the total number of paintings made  = 208

So, 52x = 208

Dividing both sides by 52

\frac{52x}{52}  = \frac{208}{52}

Cancelling out the 52's from the top and bottom on the left

x = 4

So, number of adult dinosaurs = 4

Number of baby dinosaurs = 3x = 3*4 = 12

8 0
3 years ago
1. 232 is 8 times the sum of Mark's and his sister's ages. His sister is 21. Find Mark's age.
AURORKA [14]

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

3 0
3 years ago
Solve for the variable. 3/4x = -24​
sleet_krkn [62]

Hello!

Answer:

\huge\boxed{x = -32}

3/4x = -24

To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)

3/4x · 4/3 = -24 · 4/3

x = (-24 · 4) / 3

x = -32.

8 0
3 years ago
Read 2 more answers
F(-1) if f(x) = -3x – 5
Varvara68 [4.7K]

Answer:

-2 would be the answer

8 0
3 years ago
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