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Basile [38]
3 years ago
14

Explain why it is necessary to check the solutions to a radical equation.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer:

When a power is taken on both sides of an equation, the resulting solutions might not check in the original radical equation. These are called extraneous solutions. You must check solutions by substituting in the values into the original equation and verifying that it produces a true statement.

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Which is the closest to the circumference of a circle with a diameter of 17 inches?
irina1246 [14]
Circumference = 2 \pi r
diameter = 2 r

17 = 2r →  8.5 = r

C = 2 \pi (8.5)
C = 17 \pi
C ≈ 53.4
6 0
3 years ago
Question is on the picture:)
Marat540 [252]

Answer:

Z = 90 degrees

Step-by-step explanation:

Reason is a diameter subtends angle of 90 degrees on the circumference

8 0
2 years ago
Which table represents a linear function?
Ainat [17]
The last one is rightHope this helps!

6 0
3 years ago
X/3-15=-2 solve for x
Otrada [13]

Answer:

x = 45

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/3-(15)=0

Step  1  : <u>Simplify</u>

\frac{x}{3}      

Equation at the end of step  1  :

\frac{x}{3} -  15  = 0    

Step  2  :

<u>Rewriting the whole as an Equivalent Fraction :</u>

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :            

15=\frac{15}{1} =\frac{15*3}{3}

<u>Equivalent fraction :</u> The fraction thus generated looks different but has the same value as the whole

<u>Common denominator : </u>The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

\frac{x-(15*3)}{3} =\frac{x-45}{3}

Equation at the end of step  2  :

\frac{x-45}{3} =0

Step  3  :

When a fraction equals zero :

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

\frac{x-45}{3}*3=0*3

Now, on the left hand side, the  3  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-45  = 0

Solving a Single Variable Equation :

<u>Solve  :</u>    x-45 = 0

Add  45  to both sides of the equation :

x = 45

One solution was found :

x = 45

3 0
3 years ago
Rewrite the expression −7/8 − 2 1/4 ​as the sum of two numbers.
pychu [463]

Answer:

-3 1/8.

Step-by-step explanation:

−7/8 − 2 1/4

= -7/8 + -9/4

= -7/8 - 18/8

= -25/8

= -3 1/8.

4 0
3 years ago
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