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Artemon [7]
1 year ago
6

2x+2x2+x+3x+3x2+x add

Mathematics
1 answer:
skelet666 [1.2K]1 year ago
6 0

Adding it all up in this expression:

2x+2x²+x+3x+3x²+x <em>Add like terms</em>

<em />

5x² +7x

Since this is not an equation, no further step can be done.

<em />

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Find a polar equation for the conic with its focus at the pole and the given vertex or vertices:
Schach [20]

Answer:

A) r = 2/(1 - sinθ)

B) r = 16/(5 + 3 cosθ)

C) r = 2/(1 + 2 cosθ)

Step-by-step explanation:

A) We are given the parabola vertex as:

(r, θ) = (1, -π/2)

The vertex coordinates indicates that it's below the pole and thus the equation of the conic section is represented by;

r = ed/(1 - e sinθ)

Since the equation is a parabola, then the eccentricity is 1.

Thus,plugging in the relevant values;

1 = (1 × d)/(1 - (1 × sin-π/2))

1 = d/(1 - (-1))

1 = d/(1 + 1)

1 + 1 = d

d = 2

Therefore the general equation would be gotten by putting 2 for d and 1 for E.

Thus;

r = (1 × 2)/(1 - (1 × sinθ))

r = 2/(1 - sinθ)

B) vertices of Ellipse are given as;

(2,0) and (8, π)

The equation will be represented by;

r = ep/(1 + e cosθ)

Where e which is the eccentricity is given by: e = c/a

c = (8 - 2)/2

c = 6/2

c = 3

And, a = (8 + 2)/2

a = 10/2

a = 5

Thus,e = 3/5

Thus;

r = (3/5)p/(1 + (3/5) cosθ))

Multiply both numerator and denominator by 5;

r = 3p/(5 + 3 cosθ))

Now, using the vertex (2,0) and plugging it, we have;

2 = 3p/(5 + 3 cos0))

2 = 3p/(5 + 3(1))

2 = 3p/8

p = 16/3

Thus,the equation is;

r = 3(16/3)/(5 + 3 cosθ))

r = 16/(5 + 3 cosθ)

C) Since the directrix is x = p, then the function in the denominator would be cosine. This is because x = 4 which is greater than 0.

It means that there will be an addition sign in the denominator. We use the standard form of;

r = ep/(1 + e cosθ)

So, e = 2 and p = 1

Then;

r = (2 × 1)/(1 + 2 cosθ)

r = 2/(1 + 2 cosθ)

3 0
3 years ago
Please help I’m very confused I will mark brainliest
olya-2409 [2.1K]

Answer:

A. j > 11

B. x ≥ 8

Step-by-step explanation:

For A if 7j is greater than 77, then j has to be more than 11. 7 x 11= 77.

For B x has to be greater or equal to 17, and 8+9 is equal to 17.

5 0
3 years ago
Please help me with logarithms!
Dmitry [639]

Answer:

x=2ln(2)/(2ln(2)-ln(3))

Step-by-step explanation:

ln(4^x-1)=ln(3^x)

(x-1)ln(4)=ln(3^x)

(x-1)ln(4)=xln(3)

ln(4)x-ln(4)=xln(3)

ln(4)x=ln(3)x+2ln(2)

2ln(2)x-ln(3)x=2ln(2)

(2ln(2)-ln(3))x=2ln(2)

Therefore, x=2ln(2)/(2ln(2)-ln(3))

3 0
3 years ago
Read 2 more answers
PLEASE HELP !!!!!!!!!!
umka21 [38]

Answer:

3 quarters

7 dimes and a nickel

7 dimes and 5 pennies

15 nickles

75 pennies

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etc.

Step-by-step explanation:


4 0
3 years ago
What is the answer?<br> (2 3/8 - 1/4)x1/8=?
Andrews [41]
2 3/8 - 1/4 = 2 1/8 x 1/8 = 17/64.

To do this, you first need to do the problem in the (). You have to turn 1/4 with a denominator of eight, so the fraction becomes 2/8. 2 3/8 - 2/8 = 2 1/8. Now we have to turn 2 1/8 into an improper fraction by doing whole number x denominator + numerator. 17/8 x 1/8 = 17/64.

7 0
3 years ago
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