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grandymaker [24]
3 years ago
13

Consider the trinomial 9x2 + 21x + 10. What value is placed on top of the X? What value is placed on the bottom of the X? What i

s the factored form of 9x2 + 21x + 10?
Mathematics
2 answers:
inna [77]3 years ago
7 0

Answer: 1) Value is placed on top of the X =90

2) Value is placed on the bottom of the X =21

3)  Factored form will be (3x+5)(3x+2)

Step-by-step explanation:

Since we have given that

9x^2 + 21x + 10

As we know the quadratic form :

ax^2+bx+c=0

1) Value is placed on top of the X is given by

a\times c=9\times 10=90

2) Value is placed on the bottom of the X is given by

b=21

3) Factorised form:

We will use "Split the middle term":

9x^2 + 21x + 10\\\\=9x^2+15x+6x+10\\\\=3x(3x+5)+2(3x+5)\\\\=(3x+2)(3x+5)

Hence, Factored form will be

(3x+5)(3x+2)

Flauer [41]3 years ago
6 0
1: 90
2: 21
3: (3x+2)(3x+5)
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Help, ASAP! Please!!
Yuliya22 [10]

Answer:

a. Parallel

b. Not parallel

Step-by-step explanation:

Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.

a. y= 2x + 3                                                  y-2x=-3 becomes y = 2x - 3

m = 2                                                            m= 2

The slopes are the same so these are parallel lines.

b. 3x + y = 2 becomes y= -3x + 2               y = 1/3 x + 1/2

m = -3                                                          m= 1/3

The slopes are different so this is not parallel.

Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.

7 0
3 years ago
9:15 in ratio simplest form
olchik [2.2K]

0.6:1

Hope it helps yah (◕ᴗ◕✿)

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Please assist me<br><br>NO LINKS!!<br>​
Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

2x-6+(2x)=180

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

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