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4 years ago

Explain why there must be two lines on any given plane.

Mathematics

1 answer:

777dan777 [17]4 years ago

8 0

Answer:

there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.

Step-by-step explanation:

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Six hundred twenty six children attend elm street school which is another to write this number

4vir4ik [10]

In standard form, this would be 626

6 0

3 years ago

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Solve for x and Y using the angles shown, please helppp

inna [77]

Answer:

Step-by-step explanation:

We have the vertical angles and supplementary angles.

Vertical angles are congruent. Therefore we have the equation:

$(1)\qquad14x+4=4y-8$

Supplementary angles add up to 180°. Therefore we have the equation:

$(2)\qquad(16x-4)+(14x+4)=180$

Solve (2):

$(16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6$

Put the value of x to (1) and sole:

$4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24$

7 0

3 years ago

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A certain circle can be represented by the following equation x^2+y^2+18x+14y+105=0 What is the center and radius of the circle?

Dimas [21]

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

3 0

4 years ago

19. Tony shades ten frames to<br> show a number. Is Tony's<br> number even or odd?.

yaroslaw [1]

Answer:

even

Step-by-step explanation:

5 0

4 years ago

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The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

attashe74 [19]

Yes, this is a typical pythagorean triad.

Since the theorem is: $c^{2} = a^{2} + b^{2}$
And by inspection, $5^{2}$ would be the hypotenuse,
$5^{2} = 3^{2} + 4^{2}$
25 = 9 + 16
RHS = 9 + 16 = 25 = LHS
Therefore, we have proved that the values fit into pythagoras' theorem, which means that the triangle is a right triangle (that is the central idea of this theorem).

3 0

3 years ago