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nirvana33 [79]
3 years ago
8

For which equation does it make the most sense to solve by completing the square?

Mathematics
1 answer:
daser333 [38]3 years ago
8 0

The equation for which square method is possible is x²-8=1

Step-by-step explanation:

For checking which of the equation satisfies the complete square condition, we proceed by checking each of the available options

1). x²+20x=52

Rewriting it as  x²+20x-52

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 1) and independent constant (i.e. 52) is not a perfect square.

2). 5x² + 3x = 9

This equation can be rearranged as 5x²+3x-9=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 5) and independent constant(i.e. 9) is not a perfect square.

3.) x² −8=1

This equation can be rearranged as  x²=9

Hence x= ±3

This binomial expression is a perfect square and can be done by the square method.

4). 3x² −x+17=0

This binomial expression is not a perfect square since the product of the coefficient of x²(i.e. 3) and independent constant(i.e. 17) is not a perfect square.

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Sally has 35% off coupon. The total before tax came $23.95. how much did the item originally cost?
Alexxx [7]

Answer:

$36.85

Step-by-step explanation:

23.95 and 35% discount

this means that $23.95 is 65% of the original value (100-35=65)

the highest common multiple of 35 and 65 is 5

so 65 divided by 5 is 13

23.95 divided by 13 is 1.8423...

then you take that number and times it by as many 5's are in 35 that would be 7

so the number times 7 is 12.89.....

now add this number to the original price and you have your answer $36.85

7 0
3 years ago
The square of the sum of x and -3 is equal to y how can turn this problem into a numbers
ollegr [7]
The equation:

x2 - 3 = y
3 0
3 years ago
If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?
Sergio [31]

Answer:

\overline {R'S'}  = 3 {\overline {RS} }

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

The center of dilation = Point <em>Q</em>

Therefore;

The length of the segment, {\overline {S'Q'} } = 3 × The length of the segment, {\overline {SQ} }

Similarly;

The length of the segment, {\overline {R'Q'} } = 3 × The length of the segment, {\overline {RQ} }

By Pythagoras theorem, we have;

{\overline {R'Q'} }^2 = {\overline {R'S'} }^2 + {\overline {S'Q'} }^2

Therefore;

{\overline {R'S'} }^2  = {\overline {R'Q'} }^2  - {\overline {S'Q'} }^2 = \left ({3 \times \overline {RQ} } \right) ^2  - \left (3 \times {\overline {SQ} } \right) ^2 = 9 \times \left (\overline {RQ} }  ^2  -  {\overline {SQ} } ^2 \right) = 9 \times  {\overline {RS} }^2

\therefore \sqrt{  {\overline {R'S'} }^2} =  \sqrt{ 9 \times  {\overline {RS} }^2}= 3 \times  {\overline {RS} }

\overline {R'S'}  = 3 \times  {\overline {RS} }.

6 0
3 years ago
The excluded values of a rational expression are 2 and 5. Which of the following could be this expression?
LuckyWell [14K]

Answer:

You have not added the options, therefore, I cannot provide an exact answer. However, I can help you with the concept.

In any fraction, the denominator cannot be equal to zero because this would make the fraction undefined.

Excluded values are the values that would make the denominator equal to zero.

We are given that the excluded values are 2 and 5, this means that the factors of the denominator are (x-2) and (x-5)

This means that the denominator is x² - 7x + 10

Pick the fraction which has this denominator.

Hope this helps :)

3 0
3 years ago
5. The circumference of a base of a cylinder is 176cm and its height is 60cm,
Levart [38]

Answer:i don,t have the answer but i can tell you this with volume you have to do length  times width times height

Step-by-step explanation:

sorry that i don,t have the answer that you were hoping for

4 0
4 years ago
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