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quester [9]
3 years ago
6

On a triangle, one side measures 4x2−2x and another side measures 2x2 −5x+1. If the perimeter of the triangle is 9x2 + x+6, what

is the measure of the third side of the triangle? (Your answer will be an expression)
Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

3x² + 8x + 5

Step-by-step explanation:

Subtract the sum of the 2 given sides from the perimeter, that is

9x² + x + 6 - (4x² - 2x + 2x² - 5x + 1)

= 9x² + x + 6 - (6x² - 7x + 1 ) ← distribute parenthesis by - 1

= 9x² + x + 6 - 6x² + 7x - 1 ← collect like terms

= 9x² + 8x + 5

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If (ax + 2)(bx + 7) = 15(x*2) + cx + 14 for all values of
Juli2301 [7.4K]

If (ax + 2)(bx + 7) = 15(x * 2) + cx + 14 for all values of x, and a + b = 8 then the two possible values for c is 31 and 41.

<h3>What is meant by linear equation?</h3>

A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y = mx + b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.

Let the equation be

(ax + 2)(bx + 7) = 15$$x^2 + cx + 14

(ax + 2)(bx + 7) = ab$$x^2 + 7ax + 2bx + 14 = ab$$x^2 + (7a + 2b) + 14

On comparing both equations

ab = 15     ------ (1)

7a + 2b = c   -------(2)

Also, it is given that a + b = 8  --------(3)

From equations (1) and (3) it can be observe that either a or b equal to 3 or 5

From equation (2),

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When a = 5 and b = 3, then c = 7(5) + 2(3) = 35 + 6 = 41

Therefore, the correct answer is option D) 31 and 41

To learn more about linear equation, refer to:

brainly.com/question/2030026

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Someone please answer please!
UNO [17]

Answer:

14.04 miles/hours

Step-by-step explanation:

yw

5 0
3 years ago
Plss Help!!
jek_recluse [69]

Here is some answers

1. 2x+3y=1,470

-2x -2x

---------------------

3y=-2x+1,470

---- --------

3 3

------------------

y=-2x+490

2. rise

-----

run

y=-2

---

1

Find 490 and either go up 2 down 1 or down 2 up 1 either way you will get a straight line.

3. f(x)=2x+490

Don-t know how to explain this :(

I'm confused after this question

Hope this helped a little

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Your answer is C. 1609


I think i hope im right if not im sorry


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What is 300,567,672,468.78 - 200.67
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300567672468.78-200.67=
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