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3 years ago

Divide (x3 +2x2 - 6x - 9) by (x + 3).

Mathematics

2 answers:

Sedbober [7]3 years ago

8 0

X^2-x-3 is the answer

Pani-rosa [81]3 years ago

5 0

Answer:

A.) x^2-x-3

Step-by-step explanation:

quick maths

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Help me class8 (surds)

Mashcka [7]

Answer:

$\cfrac{991\sqrt{2} }{80}$

Step-by-step explanation:

For a start simplify each of the roots:

$\sqrt{72} =\sqrt{36*2} =6\sqrt{2}$
$\sqrt{50} =\sqrt{25*2} =5\sqrt{2}$
$\sqrt{128} =\sqrt{64*2} =8\sqrt{2}$
$\sqrt{98} =\sqrt{49*2} =7\sqrt{2}$

Now simplify the expression in steps:

$\sqrt{72}-\cfrac{48}{\sqrt{50} } -\cfrac{45}{\sqrt{128} } +2\sqrt{98} =$

$6\sqrt{2}-\cfrac{48}{5\sqrt{2} } -\cfrac{45}{8\sqrt{2} } +2*7\sqrt{2} =$

$6\sqrt{2}-\cfrac{48*8+45*5}{5*8\sqrt{2} } +14\sqrt{2} =$

$20\sqrt{2}-\cfrac{609}{40\sqrt{2} } =$

$20\sqrt{2}-\cfrac{609*\sqrt{2} }{40\sqrt{2} *\sqrt{2} } =$

$20\sqrt{2}-\cfrac{609\sqrt{2} }{40*2 } =$

$20\sqrt{2}-\cfrac{609\sqrt{2} }{80 } =$

$\sqrt{2} (20-7\cfrac{49}{80} )=$

$\sqrt{2} *12\cfrac{31}{80} =$

$\cfrac{991\sqrt{2} }{80}$

3 0

2 years ago

What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?

Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

$y = \frac{3}{4}(x - 1)^2 + 4$

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

$y = a(x - h)^2 + k$

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

$h = 1, k = 4$

The directrix is at y = 7, hence:

$4 + 4a = 7$

$a = \frac{3}{4}$

Hence, the equation is:

$y = a(x - h)^2 + k$

$y = \frac{3}{4}(x - 1)^2 + 4$

More can be learned about the equation of a parabola at brainly.com/question/26144898

4 0

2 years ago

A rectangle has an area of 20 cm^2. What will the area be if the rectangle tripled in size?

antoniya [11.8K]

Answer:

180 cm^2

Step-by-step explanation:

For similar figures the ratio of areas is the square of the ratio of linear dimensions.

We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.

Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size

4 0

2 years ago

Kevin will attend college where tuition is $11,000 a year. Books and supplies cost $900, housing and food are $8500, transportat

nignag [31]

C is the correct answer

8 0

2 years ago

3y=2x-9 what could be the other equation

worty [1.4K]

2 x - 3 y = 9. Is What I Got :)

7 0

2 years ago

Read 2 more answers