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AlladinOne [14]
2 years ago
8

Consider these four statements about a line that passes through two points on a plane.

Mathematics
1 answer:
White raven [17]2 years ago
4 0

Answer:

4

Step-by-step explanation:

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Find the polar equation for the cartesian curve x^2-y^2 = sqrt(x^2+y^2)
cestrela7 [59]

ANSWER:

r = \frac{1}{cos2(theta)}

Explaination:

Convert the given curve into the the polar form.

x = rcosθ

y = rsinθ

in f(x,y) = (x²-y²) - √(x²+y²) = 0

put the values of x & y in given curve equation.

We get at,

g(r,θ) = (r²cos²θ - r²sin²θ) - √(r²cos²θ + r²sin²θ) = 0

g(r,θ) = r²(cos²θ - sin²θ) - √r² = 0

We know that,

cos²θ - sin²θ = cos2θ

g(r,θ) = r²(cos2θ) - r = 0

Solve for r

Finally we get:

r = \frac{1}{cos2(theta)}

8 0
3 years ago
Which is true about rigid transformations and circles?
mart [117]
D) i am pretty sure about that
7 0
2 years ago
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Can someone help me pls
Andrej [43]

Answer:

x=78

Step-by-step explanation:

q is 90 degrees since it is a right angle,

p=12

90 plus 12 =102

x=180-102

x=78

3 0
2 years ago
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Which statement about the equation y = 4x + 6 is true?
Ede4ka [16]

Answer:

x= \frac{y}{4} - \frac{3}{2}

Step-by-step explanation:

7 0
3 years ago
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Which congruence theorems can be used to prove △EFG ≅ △JHG? Check all that apply.
sasho [114]

Answer:

ASA  and AAS

Step-by-step explanation:

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ.  This makes EJ a transversal.  This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent.  We also know that ∠EGF and ∠HGJ are vertical angles and are congruent.  This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent.  Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

4 0
3 years ago
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