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4 years ago

If y = 14 when x= 8, find y when x = 12

2 answers:

8 0

In the given problem, we know that y is directly proportional to x.
We also know the direct variation formula.
y = kx
Now we need to substitute the value of x and y and find out the value of k. So
14 = 8k
Then
k = 8/14
= 4/7
Now in a new equation if we put the value of K and another value of x, then we can find the value of y.
y = (4/7) * 12
 = 48/7

hram777 [196]4 years ago

7 0

If y 14 when x=8
so 14/8=y/12
y=21

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Find two values of b that will make 9 x 2 + b x + 9 a perfect square trinomial.

pav-90 [236]

You want 9x^2 + bx + 9a to be a perfect square trinomial. Note that 9 x 2 is incorrect and should be written as 9x^2, where "^" represents "exponentiation."

What about a? Are we supposed to find a also?

One way in which to do this problem is to factor 9 out of the trinomial:

9 (x^2 + (b/9)x + a )

Concentrate now on making x^2 + (b/9)x + a into a perfect square trinomial.

x^2 + (b/9)x + a

Take half of the coefficient (b/9) and square the result: [(b/9)/2]^2 = b^2/81.

Then, x^2 + (b/9)x + b^2/81 - b^2/81 + a.

The above quadratic expression can be re-written as

(x + b/9)^2 - b^2/81 + a. This is a perfect square trinomial if

-b^2/81 + a = 0. Solve for b: b^2/81 = a,
b/9 = sqrt(a)
b = 9 sqrt a

4 0

4 years ago

Is it possible to construct a triangle with the angle measures 25 degrees, 75 degrees, and 80 degrees?

Marrrta [24]

Answer:

Yes it is possible to construct a triangle. 

Step-by-step explanation:

IN A TRIANGLE ALL ANGLES ADD UP TO 180 DEGREES.

SUM OF THE GIVEN ANGLES =25+75+80

GIVES 180 DEGREES. 

SO WE CAN CONSTRUCT A TRIANGLE USING THE ABOVE MENTIONED ANGLES. 

 HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

3 0

3 years ago

For 1-3 write an equivalent expression 1.) -3(7+5g) 2.) (x+7)+3y 3.) 2/9-1/5*x

alukav5142 [94]

$\huge \bf༆ Answer ༄$

The equivalent expressions are ~

<h3>Question : 1 </h3>

$\sf \: - 3(7 + 5g)$

$\sf - 21 - 15g$

$\sf- 15g - 21$

<h3>Question : 2</h3>

$\sf \:( x + 7) + 3y$

$\sf \: x + 7 + 3y$

$\sf \: x + 3y + 7$

<h3>Question : 3 </h3>

$\sf \dfrac{2}{9} - \dfrac{1}{5x}$

$\sf \dfrac{10x - 9}{45x}$

7 0

3 years ago

Read 2 more answers

What is the domain of y=(x+5)(x-2)(x-7)

gavmur [86]

The correct answer is 16

6 0

4 years ago

One number is 6 more than anouther number. the sum of their squares is 90

Flura [38]

Let x = greater number
      y = smaller number

(1) $x = y + 6
$
(1) $y = x-6$

(2) $x^{2} + y^{2} = 90$
We'll substitute y in (1) to (2)
(2) $x^{2} + (x-6)^{2} = 90$
   $x^{2} + (x^{2} - 12x + 36) = 90$
   $x^2 + x^2 -12x + 36 - 90 = 0$
   $2x^2 - 12x -54 = 0
$
   $2(x^2 - 6x - 27) = 0$
   $2(x - 9)(x + 3) = 0$
x - 9 = 0 or x + 3 = 0
      x = 9 x = -3
and
y = x - 6 y = x - 6
y = 9 - 6 y = -3 - 6
y = 3 y = -9

Therefore, the two numbers can be 9 and 3 or -3 and -9.

6 0

4 years ago