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3 years ago

Find the quotient and the remainder. 9x^4 - x^2 + 2x + 9 divided by x^2 + 8 Use polynomial long division

Mathematics

1 answer:

Mama L [17]3 years ago

6 0

Step-by-step explanation:

Solution

Given:

9x4−4x2+4 divided by 3x2−4x+2

To find:

Quotient and remainder

Solution:

Consider,

3x2+4x+2

3x2−4x+2 )9x4−4x2+4

9x4+6x2−12x3

12x3−10x2+4

12x3−16x2+8x

6x2−8x+4

From the above long division,

Quotient=3x2+4x+2

Remainder=0

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Solve for x in the diagram below. (2x + 30° 40° 40° т

solniwko [45]

Answer:

x = 35°

Step-by-step explanation:

assuming that the straight line at the bottom of the figure is actually a straight line, that means all the angles along that straight line must add up to 180 °

i.e.

40 + (2x+30) + 40 = 180

40 + 2x+30 + 40 = 180

110 + 2x = 180 (subtract 110 from both sides)

2x = 180 - 110

2x = 70

x = 35

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3 years ago

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I have no clue how to get the answer for this

Kisachek [45]

Hoped if helped x=74

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3 years ago

A=1/2•e•m solve the following formula for e

Vedmedyk [2.9K]

(1 / 2) x e x meters =

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3 years ago

What is the length of the segment, endpoints of which are intersections of parabolas y=x^2− 11/4 x− 7/4 and y=− 7/8 x^2+x+ 31/8

kobusy [5.1K]

Answer:

The length of line segment is 5

Step-by-step explanation:

we are given equation of parabolas as

$y=x^2-\frac{11}{4}x-\frac{7}{4}$

$y=-\frac{7}{8}x^2+x+\frac{31}{8}$

Firstly, we will find intersection points

we can set them equal

and then we can solve for x

$x^2-\frac{11}{4}x-\frac{7}{4}=-\frac{7}{8}x^2+x+\frac{31}{8}$

Multiply all sides by 8

$x^2\cdot \:8-\frac{11}{4}x\cdot \:8-\frac{7}{4}\cdot \:8=-\frac{7}{8}x^2\cdot \:8+x\cdot \:8+\frac{31}{8}\cdot \:8$

$8x^2-22x-14=-7x^2+8x+31$

$15x^2-30x-45=0$

now, we can factor it

$15(x^2-2x-3)=0$

$15(x-3)(x+1)=0$

$x=-1,x=3$

now, we can find y-values

At x=-1:

$y=(-1)^2-\frac{11}{4}(-1)-\frac{7}{4}$

y=2

so, we get point as

(-1,2)

At x=3:

$y=(3)^2-\frac{11}{4}(3)-\frac{7}{4}$

y=-1

so, we get point as

(3,-1)

now, we can find distance between these two points

(-1,2)

x1=-1 , y1=2

(3,-1)

x2=3 , y2=-1

now, we can find distance

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$D=\sqrt{(3+1)^2+(-1-2)^2}$

$D=5$

So,

The length of line segment is 5

6 0

3 years ago

Which of the following is the graph of y = 3x2 + 6?

natali 33 [55]

Answer:

what are the graphs?

Step-by-step explanation:

4 0

3 years ago