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irina1246 [14]
3 years ago
7

What equation reoulte from completing the square and then factoring? x2 + 4x-5

Mathematics
1 answer:
tangare [24]3 years ago
3 0

Answer:

Completing the square: (x^2+4x)-5=0

Factored form: (x+5)(x-1)=0

Step-by-step explanation:

1.

Completing the square is a method used to rewrite a quadratic equation in vertex form. First one groups the linear and the quadratic terms. Then one will factor out the coefficient of the quadratic term. After doing so, one makes the grouped equation a perfect square trinomial by introducing a term, don't forget to balance the equation. Finally one simplifies the equation. The result is a quadratic equation in vertex form.

The quadratic equation:

x^2+4x-5=0

Group the linear and quadratic terms:

(x^2+4x)-5=0

The quadratic term doesn't have a coefficient, so one doesn't need to factor the group. Now, one has to add a term to make the group a perfect square trinomial. Remember to balance the equation:

(x^4+4x-4)-5-4=0

Simplify,

(x-2)^2-9=0

2.

Factoring a quadratic equation is a method of rewriting a quadratic equation as the product of two linear equations. One splits the constant term up into factors, such that the sum of the factors is equal to the coefficient of the linear term.

x^2+4x-5=0

Factor:

(x+5)(x-1)=0

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Write the slope-intercept form of the equation of the line
Monica [59]

Answer:

y =-5x-17

Step-by-step explanation:

Slode-intercept is

y = mx + c

The first step is to find the slope, that is the m

To do that, use this formula

Y2 - y1

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

X2- x1

And u will get - 5

Now since u got m, u also actually have y and x, those are the coordinates they gave u. U can choose either one,(-3, - 2) or (-4, 3), cuz they would give u the same answrs

So let's say I chose (-4, 3)

So x = - 4, y = 3

y=mx +c

3= - 5(-4) +c

C = - 17

Therefore your end product will be

y = - 5x - 17

8 0
2 years ago
Multiply.<br><br> 1/4 x 32 =
Solnce55 [7]
Simply change 1/4 to a decimal 
1/4 = 0.25 
now we can multiply 0.25 and 32
lets do the math:)
0.25 x 32 = 8
your answer = 8 

When in doubt, eat a pineapple :)




6 0
2 years ago
Read 2 more answers
13/19x=130 how do I solve?
Taya2010 [7]
Divide both numbers by 13/90

13/90x = 130
÷13/90   ÷13/90

x= 900
8 0
3 years ago
Read 2 more answers
Help!!!!!! Find x and y so the quadrilateral is a parallelogram.
iren [92.7K]

Answer:

Conclusion:

  • The value of x = 7
  • The value of y = 4

Step-by-step explanation:

Given

  • The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

  • RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

  • The value of x = 7
  • The value of y = 4
3 0
2 years ago
What is 10+0.6 (pls show steps on how you got an awnser :) )
loris [4]

Answer:

10.6

Step-by-step explanation:

ok so, since 10 doesn't have any decimals you can just add the 0.6 to 10 so it makes 10.6.

7 0
3 years ago
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