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taurus [48]
4 years ago
12

Determine whether the point (2, 0) is a solution to the system of equations. Explain your reasoning in complete sentences. graph

of a line 3 times x plus 2 and the absolute value of x minus 1 plus one. The graphs intersect at the point 0 comma 2.

Mathematics
2 answers:
Ainat [17]4 years ago
8 0

Answer:

No, the point (2,0) is not the solution to the system of equations.

Step-by-step explanation:

Here, the given system of equations is,

y = 3x + 2, ------(1)

y = |x-1|+1, --------(2)

Since, the x-intercept of line (1) is (-0.667,0) and y-intercept is (0,2),

Also, the equation (2) is an absolute function that has the vertex (1,1)

And, its y-intercept is (0,2)

By the above explanation, we can graph the given system,

After graphing this we found that the intersection point of the given equations is (0,2),

Thus, the solution of the given system is (0,2).

DochEvi [55]4 years ago
7 0

Hello Ebjune,


Your answer would be:

The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) This not a solution!


Hope this helps!


Brainliest!?!


Have a great day:)


~Rendorforestmusic

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Charlie is watching hot air balloons. Balloon A has risen at a 60° angle. Balloon B has risen at an 82° angle. If the distance f
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Answer:

(B)1005 feet

Step-by-step explanation:

In the attached diagram

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Using Trigonometry in Triangle ACG

\tan 60^\circ=\dfrac{1400}{CG}\\ CG=\dfrac{1400}{\tan 60^\circ}\\\approx 808$ feet

Using Trigonometry in Triangle BCG'

\tan 82^\circ=\dfrac{1400}{CG'}\\ CG'=\dfrac{1400}{\tan 82^\circ}\\\approx 197$ feet

Therefore, the distance from balloon B from balloon A

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: Nicole and Ian generate two patterns. Nicole uses the rule multiply by 3 then add 2 starting with 1.
zhenek [66]

The ordered pairs of Nicole and Ian's sequence pattern are:(5,1),(17,3),(53,5),(161,10),(485,20).

Given that Nicole uses the  rule multiply by 3 then add 2 starting with it and Ian uses the rule add 1/2 then multiply by 2 starting from 0,

We ar rquired to find the ordered pairs of Nicole's and Ian's rules.

We are told that Nicole's pattern is multiply by 3 then add 2 starting with 1.

Thus Nicole's pattern is :5,17,53,161,485.

Ian's pattern is add 1/2 then multiply by 2 and starting with 0.Thus the  numbers are :1,3,5,10,20.

If we combine the numbers of both the person'rule then we will get the ordered pairs which can be written as under:

The ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

Hence the ordered pairs are (5,1),(17,3),(53,5),(161,10),(485,20).

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