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Licemer1 [7]
3 years ago
6

Name two lines in the diagram.

Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer:

Options (3) and (6)

Step-by-step explanation:

"A straight line is a set of all points between two points and extending beyond these points."

Therefore, from the given diagram,

Arrows connecting set of two points B and C and D and E will be straight lines.

Geometrically we denote them with an arrow over the line.

\overleftrightarrow {BC} and \overleftrightarrow {DE}

Therefore, Options (3) and (6) will be the answer.

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How many and what type of solutions does the equation have?
Natali [406]
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0

As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81

Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2

So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2

A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.

3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.

So 2k^2 = 9 + 3k have two rational solutions (Option B).

Hope this Helps! :)
7 0
3 years ago
Read 2 more answers
I’m stuck on these questions
jolli1 [7]

Answer:

In my opinion both of the lines are tangent.

Step-by-step explanation:

Because a tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.

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3 years ago
What's the area please
mezya [45]

Answer:

its area is square (11+17+4)

I guess this may help you

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3 years ago
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Wilma can mow a lawn in 90 minutes. Bullwinkle can mow the same lawn in 60 minutes. How long does it take for both Wilma and Bul
boyakko [2]

Answer:

90+60 =150 minutes/2 = 75 minutes pls mark brainliest



4 0
4 years ago
QUICK:WILL GET 20 POINTS &amp; BRAINLIEST- Compare and Contrast the incenter and the circumcenter of triangles in detail?
kvasek [131]

Answer:

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.

Step-by-step explanation:

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3 years ago
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