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kondor19780726 [428]
2 years ago
11

1) Factorize: x^2 - 10x +24

Mathematics
2 answers:
Jlenok [28]2 years ago
8 0

We are given with a quadratic equation and we have to factorise it , so let's proceed.

{:\implies \quad \sf x^{2}-10x+24}

{:\implies \quad \sf x^{2}-6x-4x+24}

{:\implies \quad \sf x(x-6)-4(x-6)}

{:\implies \quad \bf \underline{\underline{(x-6)(x-4)}}}

<h3>Used Concepts :- </h3>

To factorise a quadratic polynomial ax² + bx + c we have to split it's middle term bx into say mx and nx and it will look like ax² + mx + nx + c ,also we should split it such that it follows the both conditions below :-

  • m × n = c × a
  • m + n = b
Alex17521 [72]2 years ago
7 0

To Factorize:

  • \underline{ \sf {x}^{2} - 10x + 24}

~

Solution:

\:  \:  \:  \:  \sf  \longrightarrow {x}^{2}  -  10x + 24

\:  \:  \:  \:  \sf  \longrightarrow {x}^{2}  - 4x - 6x + 24

\:  \:  \:  \:  \sf  \longrightarrow x(x - 4) - 6(x - 4)

\:  \:  \:  \:  \sf  \longrightarrow (x - 6)(x - 4)

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Tom [10]

Answer:

Width=5

Mark brainliest plzzz

Step-by-step explanation:

8x5x3=120

8x5=40

40x3=120

8 0
2 years ago
PLEASE HELP ALMOST FINISHING ALBERA 1 PUT I NEED YOUR HELP PLEASE I BEG YOU BRAINLEST ANSWER!!!
tester [92]
59  is D 
because  with the point (-3,7) you substitute it into the equation, making it: 7=4x+b.  solve for b.  then you have y=4x+19.     work out the algebra in the possible choices and whatever equals y=4x+19 will be the answer. in this case, its D.


60 is C
same as above, you do the algebra of the equation. bring the one over after doing distribution with the 4 and voila!


61 is A
a relatively easy one, all you do is the the slope -4 where m goes, and 3 where b goes. y= -4x+3


62 is C.
this one requires more work.
chose one of the points, in this case (2,7) and put them into the equation. 
but wait, you need a slope! 
you get that use the formula (y2-y1)/(x2-x1) which will be
(7-5)/(2-3) which will be
-2.
now you have y-7= -2(x-2)
voila!



63 is  C.   y= 1/2x+3

64 is B. (3, -5)

66 is B. negative. the line  goes \ ( not / which is positive)

67 would be A. because it is positive and the I and the E are in the right places.


70 is C.  2/3.   as before, remember we can but the points into this equation and have (6-4)/(3-0) which = 2/3


71  is D.  y= 3x+10

72 is C. a third degree monomial

73 can't read


74 can't read 
 
75 can't read.

 
4 0
2 years ago
Solve the quadratic.<br><br><br> 4x^2+4-20=0<br><br><br><br><br> brainlist if you explain
frez [133]

Answer:

  • x = -1/2(1 +√21) ≈ -2.79129
  • x = -1/2(1 -√21) ≈ 1.79129

Step-by-step explanation:

We assume the middle term is supposed to be 4x.

We can remove a common factor of 4 to simplify this a bit.

  x^2 +x -5 = 0

This is of the form

  ax^2 +bx +c = 0

where a=1, b=1, c=-5.

__

The <em>quadratic formula</em> gives the solutions as ...

  x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

Filling in the given coefficients, we have ...

  x = (-1 ±√(1^2 -4·1·(-5)))/(2·1)

  x = (-1±√21)/2

The solutions are x = -1/2(1 +√21) and -1/2(1 -√21).

_____

<em>If what you wrote is what you intend</em>, then the equation simplifies to 4x^2 -16 = 0.

Dividing by 4 and factoring the difference of squares gives ...

  x^2 -4 = 0

  (x -2)(x +2) = 0

These factors are zero (hence their product is 0) for the values x = 2 and x = -2.

The solutions are x=2 and x=-2.

5 0
2 years ago
Solve each system by the addition method.
bagirrra123 [75]

Answer:

(x, y) = (2, -1.5)

Step-by-step explanation:

x + 2y = -1

5x - 4y = 16

<=>

(2)x + (2)2y = (2)(-1)

5x - 4y = 16

<=>

2x + 4y = -2

5x - 4y = 16

<=>

7x = 14

<=>

x = 2

(*)x + 2y = -1

=> 2 + 2y = -1

=> 2y = -3

=> y = -1.5

=> (x, y) = (2, -1.5)

6 0
3 years ago
What is 4.8 as a mixed number
Alex Ar [27]
4 and 8/10 but simplified it's 4 and 2/5
6 0
3 years ago
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