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Nadusha1986 [10]
3 years ago
15

Replace * with a number in such a way that the trinomial could be written in the form a(x+b)^2 or a(x-b)^2.

Mathematics
2 answers:
weqwewe [10]3 years ago
6 0

Answer:

  • a) 6
  • b) 3.125 or 25/8

Step-by-step explanation:

a)

  • 1.5x² + 6x + * =
  • 1.5(x² + 4x + *) =
  • 1.5(x² + 2*2x + 4) =
  • 1.5(x + 2)²
  • * = 1.5*2² = 6

b)

  • 2x² - 5x + * =
  • 2(x² - 2.5x + *) =
  • 2(x² - 2*1.25x + 1.25²)=
  • 2(x - 1.25)²
  • * = 2*(1.25)² = 3.125  or 25/8
Lostsunrise [7]3 years ago
3 0

Answer:

Solution given;

a. 1.5x^2+6x+*

1.5(x²+4x+*)

1.5(x²+2.2x+2²)

1.5(x+2)²

b) 2x^2-5x+*

2(x²-5x/2+*)

2(x²-2×5/4 ×x +(5/4)²)

2(x-5/4)²

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7 0
3 years ago
Helllllppp please asap
BartSMP [9]

Answer:

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Step-by-step explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 = \frac{h}{c}

c = \frac{h}{\text{tan}47}

c = \frac{4.8}{\text{tan}47}

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = \frac{h}{b}

b = \frac{h}{\text{tan}37}

b = \frac{4.8}{1.0724}

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° = \frac{h}{a}

a = \frac{h}{\text{tan}27}

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5 0
3 years ago
Solve for x<br><br> A. x=72<br> B. x=27<br> C. x=108<br> D. x=63
erastovalidia [21]
X + x + 36 = 90
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4 0
3 years ago
4. Write the range of this function.<br>(4,12) (1,3) (3,9) (5,15)​
forsale [732]
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4 0
3 years ago
Certain circle can be represented by the following equation.
kirill115 [55]

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

8 0
3 years ago
Read 2 more answers
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