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KATRIN_1 [288]
3 years ago
12

Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT.

If the system is dependent, enter DEPENDENT.) x + y = 6 x − y = 2

Mathematics
1 answer:
seraphim [82]3 years ago
6 0

Answer:

(4,2). DEPENDENT

Step-by-step explanation:

As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

y = 6 - x (red line) and y = x - 2 (blue line)

By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.

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Step-by-step explanation:

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ANSWER ASAP PLS 20 POINTS! Which graph represents the piecewise defined function? y= {3 if x<-2 0 if x=1 -1 if x>1
Otrada [13]

Answer:

It is the third option. (the one which has a black point at X=1, Y=1)

Step-by-step explanation:

For simplicity what you should do is, you should satisfy the second condition that is, y=0 if x=1.

Here only the third option is satisfying this condition.

Whenever there is is a white circle or a white point it means that the point does not satisfy the condition and the the function is not defined at that point. And the black point means that the circle is defined at that point and satisfies the condition.

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3 years ago
State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
valentinak56 [21]

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Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

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3 years ago
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