MATHEMATICS HIGH SCHOOL

I am so confused Please Help it is DUE NOW!!Select the polynomial that is a perfect square trinomial.
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25

Answers

Answer 1
Answer:

Answer:

16x^2 + 24x + 9  

Step-by-step explanation:

perfect square trinomial is of the form

a^2 + 2 * a * b + b^2

9x^2 + 9x + 1   = (3x)^2 + 3*3x*1 + 1^2  not a perfect square trinomial

36b^2 − 24b + 8  = ( 6b)^2  -2 * 6b *2 + ( 2 sqrt(2)) ^2  not a perfect square trinomial

16x^2 + 24x + 9  = ( 4x) ^2 + 2 * ( 4x) * 3 + 3^2 = perfect square trinomial

4a^2 − 10a + 25 = ( 2a) ^2 -  1 * 2a *5 + 5^2   not a perfect square trinomial
Answer 2
Answer:

Answer:

The third answer listed:

16x^2+24x+9

Step-by-step explanation:

The trinomial:  

16x^2+24x+9

can be factored out as follows:

16x^2+24x+9\n(4x)^2+24x+3^2\n(4x)^2+12x+12x+3^2\n4x(4x+3)+3(4x+3)\n(4x+3)\,(4x+3)\n(4x+3)^2

which as can be seen,is the perfect square of a binomial, so this trinomial is what is called a perfect square trinomial.

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What are three consecutive integers whoose sum of 138? Write and solve an equation with one variable.

Answers

Consecutive integers are 1 more than the other.

If one of them is x.

The three would be x, x + 1, x + 2

Since the sum are 138

x + (x + 1) + (x +2) = 138

x + x + 1 + x +2 = 138

x + x + x + 1 + 2 = 138

3x + 3 = 138

3x = 138 - 3

3x = 135

x = 135/3

x = 47.

So the numbers are, x, x + 1, x + 2, = 47,  47 + 1 = 48, 47 + 2 = 49

The integers are 47, 48, and 49.

Which of the following statements shows the distributive property?5 + (4 – 2) = 20 – 10

5(4 – 2) = 20 – 10

5 + (4 – 2) = 9 + 3

5(4 – 2) = 9 – 7

Answers

Answer:

\displaystyle 5(4 - 2) = 20 - 10

This is a genuine statement of you look real closely at it.

I am joyous to assist you anytime.

All of the following fractions are equal 1/2 to except:A.5/10
B.20/40
C.4/6
D.9/18

Answers

The answer is C

Because

4/6= 0.6


I hope that's help:0

Answer:

4/6 does not equal 1/2 so 4/6 is the answer

Step-by-step explanation:

15x+12=45+4x
whats x?

Answers


15x+12=45+4x ⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3
Like terms are when the variable you have are the same. In this case it is x. Therefore, when you have like terms, you should add, or subtract your like terms.

(note: When you move one thing to the other side of the equation, make sure to do the opposite of the sign. i.e. if it is +4 when you move to the other side it will be -4).

15x+12=45+4x
15x+12-12=45+4x-12
15x=45+4x-12
15x-4x=45+4x-4x-12
15x-4x=45-12
11x = 33
this is the same as:
11*x = 33
the opposite of multiply is divide so when we move the 11 it has to be divide
11/11*x=33/11
x=3

The word ‘over’ is to show a fraction btw
10 over x-4 = 6

Answers

Answer:

x = (17)/(3)

Step-by-step explanation:

(10)/(x-4)=6\n\n

10 = 6*(x -4)

10 = 6*x - 6*4

10 = 6x - 24

Add 24 to both sides

10 + 24 = 6x - 24 + 24

34 = 6x

6x = 34

Divide both sides  by 6

6x/6 = 34/6

x = (17)/(3)

Jonathan has a collection of 400 marbles. Blue marbles make up 17%, percent of his collection. How many blue marbles does Jonathan have?

Answers

17% of 400
percent means parts ou of 100
17%=17/100
'of' means mutiply

17/100 tiems 400=4*17=68

68 blue marbles
To find any percentage of something, just multiply the whole value by the percentage of whatever you're trying to find the value of. 
17% converted to a decimal is 0.17. 400*0.17 = 68.
Jonathan has 68 blue marbles in his collection.
Hope that helped you!
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Helloo it's due today help need answers idk