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stiv31 [10]
3 years ago
8

Completing the square 4y2+8y=11

Mathematics
1 answer:
docker41 [41]3 years ago
3 0

4y2+8y=11

(2y+2)^2 -4 = 11

(2y+2)^2 = 15

(2y+2) = +-√15

y= √15 /2 - 1 , -√15/2 -1

y= (√15-2)/2, (-√15-2)/2

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2.50x=15 + 1x<br> What is the answer
Anastaziya [24]

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Step-by-step explanation:

7 0
3 years ago
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Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7
marusya05 [52]

Answer:

  • -3x² -5x -1 = 0
  • -3 (quadratic)
  • -5 (linear)
  • -1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

  -3x² -8 -(5x -7) = 5x -7 -(5x -7)

  -3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

  -3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

  -3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

__

<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

  3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

8 0
2 years ago
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 71. Find
Elanso [62]

Answer:

x = 15

Step-by-step explanation:

x + 2x - 2 + 2x - 2 = 71

Solve for x, you get 15.

3 0
1 year ago
Using the table, which value from the domain corresponds to a range value of 3?
ozzi
We know that

A range value of 3 that means 
that the value of y is 3

<span>observing the table we see that for y = 3  the value of x is 0
therefore
the value of the domain for the range 3 is 0

the answer is
0

</span>
8 0
2 years ago
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