MATHEMATICS MIDDLE SCHOOL

Find a real number c such that x^(2)+12x+c is a perfect square trinomial.

Answers

Answer 1

Answer:

Answer:

The value of c is 36

Step-by-step explanation:

Now, we fine the perfect square polynomial, we need to have the expression of the form:

$a^2+b^2+2ab$

so this can be written as a perfect square as: $a^2+b^2+2ab= (a+b)^2$

Now the expression given to us is:

$x^(2)+12x+c$

so when c is 36, we will get:

$x^(2)+12x+c= x^(2)+12x+36$

Now, this can be re-written as:

$x^(2)+2*6*x+6^2$

so here we can see that it is of the form:

$a^2+b^2+2ab$

so the perfect square is:

$x^(2)+2*6*x+6^2= (x+6)^2$

Hence, when c = 36 we get a perfect square.

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Simplify the expression: 3a + 4 + b + 2a +5 + b AnswerChoice A.5a+b B.6a+2b+9 C.7a+7b D.5a+ 2b + 9

Answers

3a + 4 + b + 2a + 5 + b

5a + 2b + 9

D.

D-- 3a+2a+b+b+4+5=5a+2a+9
Answer is D

the area of a rectangle is 100 Sq inches. the perimeter of the rectangle is 40 inches. a second rectangle has the same area but a different perimeter. is the second rectangle a square? explain why or why not.

Answers

A rectangle with an area of 100 square inches and a perimeter of 40 feet must have sides of 10 feet each, making it a square. A rectangle with the same area and any other perimeter would therefore not be a square.

He cost for 2 tickets to the movie theater is $22. What is the price per ticket? $2

$22

$11

$12

Answers

Answer:

The price per ticket is $11.

$11 per ticket is the answer

Solve the inequality 6x − 8 > 4x + 26

Answers

Answer:

The solution for the inequality is x>17

Step-by-step explanation:

Consider the provided inequality.

$6x - 8 > 4x + 26$

Subtract 4x to both the sides.

$6x -4x- 8 > 4x-4x + 26$

$2x- 8 > 26$

Add 8 to the both sides.

$2x- 8+8 > 26+8$

$2x > 34$

Divide both the sides by 2.

$x > 17$

Hence, the solution for the inequality is x>17

Hi.

Answer:

$\boxed{x>17}\checkmark$

The answer should have positive sign but not negative.

Step-by-step explanation:

First, you add by 8 from both sides.

$6x-8+8>4x+26+8$

Then, simplify.

$6x>4x+34$

Next, you do is subtract by 4x from both sides.

$6x-4x>4x+34-4x$

Simplify.

$2x>34$

Therefore, you divide by 2 from both sides.

$(2x)/(2)>(34)/(2)$

Finally, you solve and simplify.

$34/2=17$

$x=17\checkmark$

X=17 is the correct answer.

Hope this helps you!

Have a nice day! :)

Describe triangle ABC in terms of its sides and angles

Answers

Answer: Scalene, Right Triangle

Step-by-step explanation:

There are three main terms that describe triangles by their side length: equilateral (all three sides are the same length), isosceles (two sides are the same length), scalene (all three sides are different lengths).

Since all of the sides are different lengths, this is a scalene triangle.

There are three main terms that describe triangles by their angles: acute triangle (all three angles are acute), obtuse triangles (one obtuse angle and two acute angles) and right triangles (on right angle, which means the other two will be acute).

Since this triangle has a right angle (indicated by the square symbol on angle A), it must be a right triangle.

Answer:

Right angle triangle

Step-by-step explanation:

Given triangle is right angle triangle
It is a type of triangle that has one of it's angles equal to 90 degrees.
The other two angle sum up to 90 degrees.
Here AC side is perpendicular and the AB side is base of the triangle.
And the third side that is called CB which longest side of all three sides that is called hypotenuse.

How do u decomposition 1 1/4

Answers

It is 5/4 if you want it in an improper fraction.
So the rule is multiply down low and add up high.
If you know what 1 (the whole number) times 4 (the denominator) will equal 4
Then add the 1 to the four that will equal 5 with the same denominator which is 4
The answer is 5/4
If that is what you asked

If you would like and improper fraction it would be 5/4

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