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3 years ago

Does −4x−7+10x=−7+6x have one solution, infinite solutions, or no solution

Mathematics

2 answers:

olasank [31]3 years ago

8 0

−4x −7 + 10x = −7+6x
6x - 7 = 6x - 7
0 = 0

answer
infinite solutions

VikaD [51]3 years ago

6 0

Answer:

The provided equation has infinite solutions.

Step-by-step explanation:

Consider the provided equation.

$-4x-7+10x=-7+6x$

The above equation can be written as:

$-4x+10x-7=-7+6x$

Add the like terms.

$6x-7=-7+6x$

This can be written as:

$6x-7=6x-7$

Here, we can see that left side is same as the right side.

For any value x the left and right side will be same.

Check:

Substitute x=1

$6(1)-7=6(1)-7$

$6-7=6-7$

$-1=-1$

Substitute x=2

$6(2)-7=6(2)-7$

$12-7=12-7$

$5=5$

Hence, the provided equation has infinite solutions.

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2 years ago

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2 years ago

In order to answer the question correctly, please use the following image below:

Maru [420]

Answer:

see below

Step-by-step explanation:

The angle where chords cross is the average of the intercepted arcs. Here, that is ...

(37° +46°)/2 = (83°)/2 = 41.5°

Angle SUT is 41.5°.

_____

Comment on the error

The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.