A shopper paid$67.36 including tax for an item marked $62.95. What should she pay for another item marked $82?

Mathematics

1 answer:

Jlenok [28]3 years ago

4 0

Answer:

153.77

Step-by-step explanation:

First, you subtract the item's original price from the price with tax. Then, you use the tax price from the subtraction, (your answer) and add it to the 82$. Last, add the $67.36 with $86.41 (the tax added to the $82) and you will get your answer, $153.77

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Complete the square to put he equation in convenient form for graphing. Then graph the conic section

Maslowich

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You'll basically complete the square for two equations at the same time. Set it up like this:

(16x^2 + 96x) + (9y^2 - 18y) = 9

Divide everything by 16 to get the x^2 by itself, then divide everything by 9 to get y^2 by itself. You should end up with this.

(x^2 + 6x) + (y^2 - 2y) = 9/144

then complete the square by taking the second term of each polynomial, dividing by two, and squaring it.

For instance the first one will be 6/2 = 3^2 = 9

The next one will be 2/2 =1^2 = 1

Add these to numbers to the polynomials as well as to the other side of the equation to keep it equal. You should end up with this.

(x^2 + 6x+9) + (y^2 - 2y+1) = (9/144)+9+1

Then find a common denominator on the right side of the equals sign and add them all together to get:

(x^2 + 6x+9) + (y^2 - 2y+1) = 1449/144

Factor out the two polynomials

(x+3)^2 + (y-1)^2 = 1449/144

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If ab = 10 ft, ac = 14 ft, and bc = 20 ft, what is rs? 10 ft 14 ft 20 ft 24 ft

Fiesta28 [93]

The side |rs| is congruent to side |ac| which is 14 ft.

<h3>What are congruent triangles?</h3>

Congruent triangles are two similar triangles that have corresponding sides and angles and they are of equal measure.

The figures from the textbook illustrate that following rotation, the two triangles are congruent.

This signifies that the angles and sides of the first triangle are equal to the angles and sides of the other triangle.

Therefore: