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3 years ago

Factorise the following 4(x-1)²-9 need solution

Mathematics

1 answer:

kumpel [21]3 years ago

6 0

Answer:x= 5/2 x= -1/2

Step-by-step explanation:

4(x-1)2-9

4(x2-2x+1) - 9

4x2 - 8x + 4 - 9

4x2 - 8x - 5

4x2 +2x - 10x - 5

2x(2x+1) - 5(2x+1)

(2x-5)(2x+1)

therefore, x= 5/2 x= -1/2

mark brainliest plzz

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Please answer question three and four if you can :) Show full working out ty;)

nikklg [1K]

Step-by-step explanation:

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

$D = ( \frac{2 + 5}{2}, \: \: \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \: \: \frac{ 1}{2} ) \\ \therefore D= (3.5, \: \: 0.5) \\ \& \: A=(-1,\:\:4)...(given) \\\\ now \: by \: distance \: formula \\ \\ Length \: of \: segment \: AD \\ = \sqrt{( - 1 - 3.5)^{2} + {(4 - 0.5)}^{2} } \\ = \sqrt{(4.5)^{2} + {(3.5)}^{2} } \\ = \sqrt{20.25 + 12.25 } \\ = \sqrt{32.5} \\ \red{ \boxed{\therefore Length \: of \: segment \: AD = 5.7 \: units}}$

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

$\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\$

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

$LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS$

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0

4 years ago

Factor each expression 31

katrin2010 [14]

You can’t factor 31 since it’s a prime number luv

8 0

3 years ago

It is given that D is inversely proportional to v m

Darina [25.2K]

Answer:

Step-by-step explanation:

$D=\frac{k}{\sqrt{m}}\\\\64=\frac{k}{\sqrt{9}}\\\\64=\frac{k}{3}\\\\ 64*3=k\\\\k=192\\a)D=\frac{192}{\sqrt{4}}\\\\=\frac{192}{2}\\\\D=96\\\\b)32=\frac{192}{\sqrt{m}}\\\\ 32*\sqrt{m}=192\\\\\sqrt{m}=\frac{192}{32}=6\\\\m=36$

8 0

3 years ago

Solve by using factorizing method:4x²-36x+81=0

boyakko [2]

Answer:

x = 4.5

Step-by-step explanation:

4x² - 36x + 81 = 0
(2x)² - 2*2x*9 + 9² = 0 Identity a² - 2ab + b² = (a - b)²
(2x - 9)² = 0
2x - 9 = 0
2x = 9
x = 4.5

8 0

3 years ago

If x = -12, y = -3; find xy?

wolverine [178]

Given that :- 

x = -12
y = -3

To Find :- 

Value of xy

Solution :- 

☆ When a negative digit is multiplied with negative digit then the result comes as positive digit .

→ x × y = (-12)(-3)

→ x.y = 36

So the answer is 36.

3 0

3 years ago

Read 2 more answers