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lutik1710 [3]
3 years ago
7

Factor this expression completely and then place the factors in the proper location on the grid. 36y2 - 1

Mathematics
2 answers:
Tema [17]3 years ago
7 0
I'm assuming that y2 means y^2 or y squared. In that case, your factors will be (6y+1) and (6y-1). 
zaharov [31]3 years ago
6 0

Answer:

The factors of tex]36y^2-1[/tex] are (6y+1)(6y-1)

Step-by-step explanation:

Consider the given expression 36y^2-1

We have to factorize it completely  and then place the factors on grid.

Consider the given expression  36y^2-1

We know algebraic identity, a^2-b^2=(a-b)(a+b)

Using above stated algebraic identity , we have,

36y^2 can be written as 6y \times 6y

36y^2-1=(6y)^2-1^2=(6y+1)(6y-1)

Thus, the factors of tex]36y^2-1[/tex] are (6y+1)(6y-1)

Below attachment shows the placement on grid.

 

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(8,15) (-14,-3)<br>find the slope
ss7ja [257]

The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11

5 0
3 years ago
Find the missing side length of the right triangle. show work.
motikmotik

Answer:

6.32

Step-by-step explanation:

To find the side length on a right angled triangle we follow The Pythagorean Theorem:

{a}^{2}  +  {b}^{2}  =  {c}^{2}

c being the hypothesis (longest side: the hypotenuse is always opposite the right angle)

so..

{6}^{2}  +   {2}^{2}  =  {x}^{2}  \\ 36 + 4 =  {x}^{2}  \\ 40 =  {x}^{2} \\  \sqrt{40}   =  \sqrt{ {x}^{2} } \\

6.32 = x

8 0
2 years ago
Read 2 more answers
Write the equation of a line with slope of 5/6 , and x-intercept of −8 in point-slope form.
babymother [125]

Answer:  y-0 = \frac{5}{6}(x+8)

==================================================

Explanation:

Point-slope form is

y - y_1 = m(x - x_1)\\\\

where m is the slope and (x_1,y_1) is the point the line goes through.

We're given the slope of m = 5/6, and we want the line going through (-8,0) which is the x-intercept -8. The x-intercept always occurs when y = 0.

So,

y - y_1 = m(x - x_1)\\\\y - 0 = \frac{5}{6}(x - (-8))\\\\y - 0 = \frac{5}{6}(x + 8)\\\\

We can replace the y-0 with y; however, I'm going to keep that 0 so that the equation better matches the point-slope form.

7 0
3 years ago
Grovell works at Walmart. He earns $12 per hour. The store offers him a raise of 5% increase per hour.
DerKrebs [107]

Answer:

$ 12.6 / h

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Now adding it to the amount he makes, since it is a raise:

0.6 + 12 = 12.6 $ / h

Another (and faster) way to calculate it:

1.05 * 12 = 12.6

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3 years ago
what is the X co-ordinate of vertex of parabola where equation is Y is equal to X square + bx + c =\ o​
torisob [31]

Answer:

x = - \frac{b}{2}

Step-by-step explanation:

Given a quadratic equation in standard form , that is

y = ax² + bx + c = 0 ; a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

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with a = 1, b = b, thus

x_{vertex} = - \frac{b}{2}

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