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3 years ago

What number would you add to both sides of x2 + 7x = 4 to complete the square? 22 72

Mathematics

2 answers:

bogdanovich [222]3 years ago

7 0

X^2 + 2*x*(7/2) + (7/2)^2 = (x + 7/2)^2

answer is (7/2)^2

dimulka [17.4K]3 years ago

7 0

The answer is D (7/2)^2

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Raymond was asked to solve for the length of the hypotenuse in a right triangle with legs that have side lengths of 4 and 5. His

ohaa [14]

Answer:

Raymond's mistake was on the last step, since he didn't square root both sides

The correct answer should be

$c = \sqrt{41}$

Step-by-step explanation:

$a^2 + b^2 = c^2\\4^2 + 5^2 = c^2\\16 + 25 = c^2\\c^2 = 41\\c = \sqrt{41}$

Good luck!

3 0

2 years ago

Write an expression to represent the perimeter of the rectangle: 3* +10 * +5

Schach [20]

Answer:

the perimeter is 18

Step-by-step explanation:

3 0

3 years ago

How do I solve this? x/3 + x^2 + 2x^2 - x/3

Anna11 [10]

Answer:

3x²

Step-by-step explanation:

$\frac{x}{3} + x^{2} +2x^{2} -\frac{x}{3}$ =

$x^{2} +2x^{2}$ =

$3x^{2}$

3 0

2 years ago

Which represents the solution to the absolute value equation? 3|2x+4|-1=11

larisa86 [58]

The first step for absolute value equations is to isolate the expression contained within the absolute value bars:

3|2x+4|-1 = 11
3|2x+4| = 12
|2x+4| = 4

so |2x+4| is 4 units away from 0 on a number line, but we don't know in which direction -- negative or positive? you'll have two answers.

2x+4 = 4

AND

2x+4 = -4

solve both of those two step equations and you'll get

x = 0

AND

x = -4

so 0 and -4 are your solutions.

5 0

3 years ago

Simplify the expression

finlep [7]

Answer:

$\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{x - 6}{4*x}$

Step-by-step explanation:

We have the expression:

$\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}$

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

$(\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}$

Now we can directly add the terms to get:

$\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}$

We can't simplify this anymore

3 0

3 years ago