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erik [133]
3 years ago
13

What value of b will cause the system to have an infinite

Mathematics
1 answer:
kvasek [131]3 years ago
8 0

Hi there!

The way that an infinite number of solutions is achieved is when the two equations, when solved together, get an answer which is just a number equal to the same number. To do this, first substitute 6x-b in for y in the second equation.

-3x+\frac{1}{2}(6x-b)=-3

-3x+3x-\frac{1}{2}b=-3

-\frac{1}{2}b=-3

Now, we see that b needs to be equal to -3 when multiplied by -1/2. When both sides are divided by -1/2, b becomes equal to 6. Thus, b must be 6.

Check work:

6x-6=y

-3x+\frac{1}{2}(6x-6)=-3

-3x+3x-3=-3

-3=-3

Thus, as they are equal to each other, the answer is correct. b = 6.

Hope this helps!

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Answer:

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Step-by-step explanation:

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m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 4, 2 ) and (x₂, y₂ ) = (3, - 4) ← 2 points on the line

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To find c substitute either of the 2 points into the partial equation

Using (- 4, 2 ), then

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5 0
3 years ago
Acapulco, Mexico and Hyderabad, India both lie at 17° north latitude, and lie very nearly halfway around the world from each oth
Nataly_w [17]
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We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
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If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
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Step-by-step explanation:

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