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3 years ago

what number should be added to the expression x^2 + 10x to change it into a perfect square trinomial?

Mathematics

2 answers:

Tamiku [17]3 years ago

6 0

Answer:

Step-by-step explanation:

In case anyone was confused the answer is 25. took the test.

Annette [7]3 years ago

3 0

Answer:

$\large\boxed{5^2=25}$

Step-by-step explanation:

$\text{Perfect square:}\ (a+b)^2=a^2+2ab+b^2\\\\x^2+10x\\\Downarrow\\x^2+2(x)(5)\\\Downarrow\\x^2+2(x)(5)+5^2=(x+5)^2$

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Charra [1.4K]

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Step-by-step explanation:

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3 years ago

Operations with Radical Expressions

lisov135 [29]

Answer: $30\sqrt{11}$

Step-by-step explanation:

$3\sqrt{50} * \sqrt{22}$

= $3\sqrt{5*5*2} * \sqrt{2*11}$

= $3\sqrt{5*5*2*2*11}$

= $3*5*2\sqrt{11}$

= $30\sqrt{11}$

******************************************

Answer: $6\sqrt{30}$

Step-by-step explanation:

$\sqrt{20} * \sqrt{3} * \sqrt{18}$

= $\sqrt{2*2*5} * \sqrt{3} * \sqrt{3*3*2}$

= $\sqrt{2*2*5*3*3*3*2}$

= $2*3\sqrt{5*3*2}$

= $6\sqrt{30}$

********************************************

Answer: $-\sqrt{5}$

Step-by-step explanation:

$4\sqrt{20} - 3\sqrt{45}$

= $4\sqrt{2*2*5} - 3\sqrt{3*3*5}$

= $4*2\sqrt{5} - 3*3\sqrt{5}$

= $8\sqrt{5} - 9\sqrt{5}$

= $-\sqrt{5}$

********************************************

Answer: $4\sqrt{5}$

Step-by-step explanation:

$2\sqrt{5} + 3\sqrt{5} - \sqrt{5}$

= $(2+3-1)\sqrt{5}$

= $4\sqrt{5}$

********************************************

Answer: $46\sqrt{2}$

Step-by-step explanation:

$4\sqrt{32} + 6\sqrt{50}$

= $4\sqrt{2*2*2*2*2} + 6\sqrt{2*5*5}$

= $4*2*2\sqrt{2} + 6*5\sqrt{2}$

= $16\sqrt{2} + 30\sqrt{2}$

= $46\sqrt{2}$

7 0

4 years ago

If a < 0 and c > b, circle the expression that is greater:

matrenka [14]

Answer:

The expression that is greater is a (b - c)

Step-by-step explanation:

a < 0 and c > b, this means (by the addition property) that c - c > b - c⇒0 > b - c

so for the product a(b - c) we would have a multiplication of a negative number a and another negative number (b - c). We know that the result of the multiplication of two negative numbers is a positive number.

Therefore, a (b - c) > 0

a < 0 and c > b, this means by the addition property that c - b > b - b⇒ c - b > 0

so for a(c - b), we have the negative number a multiplied by the positive number (c - b). We know that the result of the multiplication of a negative number by a positive number is negative.

Therefore a (c - b) < 0

Thus, the expression that is greater is the positive one which is a (b - c)

5 0

3 years ago

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adoni [48]

The problem tells you that a circle with radius 21 inches is painted in two colors. The two colors cover equal areas, so each color is half the area of the circle. You need to find half of the area of the circle. To do that, use the formula for the area of a circle, and then divide by 2.

$A = \pi r^2$

$A = 3.14 \times 21~ inches \times 21~inches$

$A = 1384.74~square ~inches$

Half the circle has area 1384.74 square inches / 2 = 692.37 square inches.

Answer: Each color covers 692.37 square inches.

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4 years ago

Given a = 4 and b = -2, evaluate -|b - a|. Please help!

Sergeeva-Olga [200]

The answer is: - 6 .
_____________________________________________

Evaluate the value INSIDE the "bars".
b - a = -2 - 4 = -6 . The absolute value of the value inside inside the bars is the "positive" number of that value. The value is negative 6; so, the absolute value, or "magnitude", of "-6", is "6"; Then, then "-" (6) = -6. So the answer is: -6 .
___________________________________________________

6 0

3 years ago

what number should be added to the expression x^2 + 10x to change it into a perfect square trinomial?​

what number should be added to the expression x^2 + 10x to change it into a perfect square trinomial?