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Nat2105 [25]
3 years ago
13

Solve the system by substitution. y=6x y=3x+21 ( , )

Mathematics
1 answer:
Dimas [21]3 years ago
6 0

Answer:

(7,42)

Step-by-step explanation:

Imput the 6x for the Y:

6x=3x+21

move the variable to the left

6x-3x=21

collect like terms:

3x=21

divide both sides by 3x and youll get this for X

x=7

Imput x=7 into the equation

Y=6x7

solve:

y=42

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four distinct circles are drawn in a plane. what is the maximum number of points where at least two of the circles intersect?
kolezko [41]

90 points where at least two of the circles intersect.

<h3>Define circle.</h3>

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the centre.

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Four distinct circles are drawn in a plane.

Start with two circles; they can only come together in two places. The third circle contacts each of the previous two circles in two spots each, bringing the total number of intersections up to four with the addition of a third circle. The total number of intersections will rise by another 6 when a fourth circle intersects the first three. And the list goes on.

As a result, we get a recognizable, regular pattern: for each additional circle, there are two more intersections overall than in the circle before it.

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3 0
1 year ago
Stephanie walks 2/5 miles in 1/4 our what is Stephanie speed in miles per hour
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Read 2 more answers
Please help me out really need it
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Answer:

{ \tt{hypotenuse = { \boxed{5}}}} \\ { \tt{opposite = { \boxed{3}}}} \\ { \tt{adjacent = { \boxed{4}}}} \\  \\ { \tt{ \sin \angle R =  \frac{{ \boxed{3}}}{{ \boxed{5}}} }} \\  \\ { \tt{ \cos \angle R =  \frac{{ \boxed{4}}}{{ \boxed{5}}}  }} \\  \\ { \tt{ \tan \angle R =  \frac{ \boxed{3}}{{ \boxed{4}}} }}

6 0
2 years ago
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