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3 years ago

X^2=1 has two solutions. If the equation is changed to 4x^2=1 which operation find the solutions of the new equation?

Mathematics

1 answer:

snow_lady [41]3 years ago

3 0

Answer:

X = -1/2 or 1/2

Step-by-step explanation:

When the square root of a number is found, this usually results in 2 solutions which may be equal in size but opposite in signs.

As such,

X^2=1 to find x find the root of both sides

X = √1

X = -1 or 1

Going by this

4x^2=1

Divide both sides by 4

X^2=1 /4

taking the square root of both sides

X = √1/4

The root of 1 is -1 or 1 while that of 4 is -2 or 2 hence,

X = -1/2 or 1/2

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harkovskaia [24]

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3 years ago

55) A dilation of scale factor of 4 will produce a congruent figure<br>True or False

vivado [14]

Answer:

False

Step-by-step explanation:

When a figure is dilated by a scale factor of 4, the new figure produced will be 4 times the size of the original figure. This means that, the size would change while the shape remains the same as the original figure.

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Therefore, the figure produced when a dilation of scale factor of 4 is done is not a congruent figure. Rather, it is a similar figure.

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3 years ago

How would I graph this inequality?<br> <img src="https://tex.z-dn.net/?f=7x%2B3y%5C%20%20%5Ctextless%20%5C%206-5x" id="TexFormul

Anon25 [30]

Answer:

the graph in the attached figure

Step-by-step explanation:

we have

$7x+3y$

isolate the variable y

Subtract 7x both sides

$3y$

Divide by 3 both sides

$y$

The solution of the inequality is the shaded area below the dashed line

The equation of the shaded line is $y=-4x+2$

The slope of the dashed line is negative $m=-4$

The y-intercept of the dashed line is the point $(0,2)$

The x-intercept of the dashed line is the point $(0.5,0)$

To graph the inequality plot the intercepts and shade the area below the dashed line

using a graphing tool

the graph in the attached figure

3 0

3 years ago

In 2000, U.S. Airways burned about 115 litres of fuel per passenger. In 2014 that dropped

ankoles [38]

Answer:

22% reduction

Step-by-step explanation:

Find the percent decrease by dividing the difference in amounts by the original amount.

Find the difference:

115 - 90 = 25

Divide this by the original amount:

25/115

= 0.217

So, the percent decrease is 21.7%. Round this to the nearest whole percentage:

= 22

The percent reduction in fuel used was approx. 22%

6 0

3 years ago

How to equivalent 64 1/2

bagirrra123 [75]

Answer:

129/2

Step-by-step explanation:

1 129

64 --- = -------

2 2

To find the improper fraction, you multiply the denominator by the whole number and then add the numerator. In the end, you put that answer over the starting denominator.

64 X 2 = 128 128 + 1 = 129 129 / 2 is the answer

7 0

3 years ago