In order to rewrite StartFraction 4 x squared minus 3 x + 5 Over 2 x squared minus x EndFraction as a sum of a polynomial and one or more simpler fractions, you must first use long division. The result of the long division is the following. StartFraction 4 x squared minus 3 x + 5 Over 2 x squared minus x EndFraction = 2 + StartFraction negative x + 5 Over 2 x squared minus x EndFraction What is the final expression? 2 + StartFraction 5 Over x EndFraction minus StartFraction 11 Over 2 x minus 1 EndFraction 2 minus StartFraction 5 Over x EndFraction + StartFraction 9 Over 2 x minus 1 EndFraction 2 + StartFraction 5 Over x EndFraction + StartFraction 9 Over 2 x minus 1 EndFraction 2 minus StartFraction 5 Over x EndFraction minus StartFraction 11 Over 2 x minus 1 EndFraction

Answer:

B

Step-by-step explanation:

because 4 plates multiplied by 9 equals 56 and 5x9=45. Therefore you need to multiply both 6 and 7 by 9 to get your answer. I hope I'm right. :)

Answer:

The answer would be 20 because 2x2=4 right so 10x2=20

Step-by-step explanation:

Answer:

D. Knowing that 5^2 + 9^2 < 12^2, draw the 5 cm side and the 9 cm side

with a right angle between them. The 12 cm side will fit to form a

right triangle

Step-by-step explanation: mark me brainliest!!

Hypotenuse = h

Altitude = lBase = bl²+b²=h²

Here 6²=369²=8112²=14415²=225

From the above it is clear that81+144=225⇒9²+12²=15²

Given :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1 \: –––– \sf \: (i)}[/tex]

[tex]{\qquad \sf \dashrightarrow 3x + 2y = 13 \: –––– \sf \: (ii)}[/tex]

Now, Substituing the value of y in equation (ii) :

[tex]{\qquad \sf \dashrightarrow \: 3x + 2y = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 2(4x + 1) = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 3x + 8x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x + 2 = 13 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 13 - 2 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: 11x = 11 }[/tex]

[tex]{\qquad \sf \dashrightarrow \: x = \dfrac{11}{11} }[/tex]

[tex]{\qquad \sf \dashrightarrow \bf \: x = 1 }[/tex]

Now, substituting the value of x in equation (i) :

[tex]{\qquad \sf \dashrightarrow y= 4x + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4(1) + 1}[/tex]

[tex]{\qquad \sf \dashrightarrow y= 4 + 1}[/tex]

[tex]{\qquad \bf \dashrightarrow y= 5}[/tex]

Answer:

80 cm

Step-by-step explanation:

perimeter = Side × 4 = 20 × 4 = 80 cm

I hope you understand...

Answer:

a for the fist c  for 2 d for 3 and idontknow

4

Step-by-step explanation:

===================================================

Explanations:

Problem 1

v = 9i - 4j means we move 9 units to the right and 4 units down.

Another way to write this is v = <9, -4>

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

Problem 2

R = (-19, 6)

S = (-35, 13)

Subtract x coordinates:  xS - xR = -35 - (-19) = -16

Subtract y coordinates: yS - yR = 13 - 6 = 7

Those results form the vector v = -16i + 7j

This vector indicates we move 16 units left and 7 units up when going from point R(-19,6) to point S(-35,13).

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

Problem 3

t = -5i + 12j

||t|| = sqrt( (-5)^2 + (12)^2 )

||t|| = 13

theta = arctan(12/(-5))

theta = -67.38

Add on 180 to get to the proper quadrant Q2

-67.38 + 180 = 112.62

Therefore,

[tex]t = 13\bigg\langle \cos(112.62^{\circ}), \ \sin(112.62^{\circ})\bigg\rangle[/tex]

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

Problem 4

The x, y components are the coefficients of the linear form.

This allows us to go immediately from <-39,16> to -39i + 16j

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

Problem 5

P = (-5,11)

Q = (-16,4)

Subtract x coords: xQ - xP = -16 - (-5) = -11

Subtract y coords: yQ - yP = 4 - 11 = -7

The component form of vector t is <-11, -7> and this vector is in Q3.

r = sqrt(a^2 + b^2)

r = sqrt( (-11)^2 + (-7)^2 )

r = 13.038 is the approximate length of the vector.

theta = arctan(b/a)

theta = arctan(-7/(-11))

theta = 32.471

Add on 180 so we get to Q3

32.471+180 = 212.471

Therefore, we have

[tex]x = r\cos(\theta) = 13.038\cos(212.471^{\circ})\\\\y = r\sin(\theta) = 13.038\sin(212.471^{\circ})\\\\t = xi + yj\\\\t = 13.038\cos(212.471^{\circ})*i + 13.038\sin(212.471^{\circ})*j\\\\[/tex]

in which you could write into this slightly more compact form

[tex]t = 13.038\bigg\langle\cos(212.471^{\circ}),\sin(212.471^{\circ})\bigg\rangle\\\\[/tex]

For more info, check out polar to cartesian conversion formulas.

By comparing the figure with simpler shapes (rectangles and triangles) we will see that its area is 30ft^2.

The area of the figure will be equal to the difference between the area of a 5ft by 10 ft rectangle, and the area of the 3 triangles that can be formed.

The area of a 5ft by 10ft rectangle is:

A = 5ft*10ft = 50ft^2

For the 3 triangles we have:

2 triangles with a base of 5ft - 3ft = 2ft, and a height of 10ft/2 = 5ft.

(these are the two left triangles).

Remember that for a triangle of base b and height h, the area:

A = b*h/2

Then for each of these triangles, the area is:

A' = (2ft*5ft)/2 = 5ft^2

And we have two of these, so the areas add up to 10ft^2.

For the right triangle, we can see that its base measures 10 ft, and its height is of 2 ft, then its area is:

A'' = (10ft*2ft)/2 = 10ft^2

Then the area of the figure is:

Area = A - 2A' - A'' = 50ft^2 - 2*(5ft^2) - 10ft^2 = 30ft^2

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Solution:

It should be noted:

We can tell that:

This clearly tells us that the inequality is x > -1

In conclusion:

Option C is correct.

Answer:

8

Step-by-step explanation:

I simplified the fraction into a decimal (2.5) then proceeded to multiply it by 8 to compensate for each bag of chips.

Answer:

20 miles per gallon

Step-by-step explanation:

We want a unit rate where

1 is in the denominator

so we divide top and bottom by 20

[tex]\frac{400 miles/20}{20 gallons/20}[/tex]  = [tex]\frac{20 miles}{1 gallon}[/tex] = 20 miles a gallon

adding 2 on both sides....maybe

Answer:

Its A

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

We are given the expression:—

[tex]\displaystyle \large{5n-3}[/tex]

When n = 5, substitute/change n to 5:—

[tex]\displaystyle \large{5(5)-3}[/tex]

Evaluate:—

[tex]\displaystyle \large{25-3=\boxed{22}}[/tex]

__________________________________________________________

Summary

  Substitution

Changing or replacing from a term to another terms/expression is called substitution.

Examples:—

If we are given the expression [tex]\displaystyle \large{2y-1}[/tex] and we want to find the value when y = 4, simply replace y-term to 4.

[tex]\displaystyle \large{2(4)-1=8-1=\boxed{7}}[/tex]

__________________________________________________________

If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!

The radius of the given circle is 12.1 (correct to the nearest tenth), computed using chord properties.

We assume the radius of this circle to be x.

By the theorem saying that a perpendicular from the center of the circle to a chord, bisects the chord, we can say that CE = ED = 0.5CD = 0.5*18 = 9.

Now, we know that NC = NA = radius of the circle = x.

We are given that AE = 4.

Therefore, NE = NA - AE = x - 4.

Now, in right-angled triangle NEC, by Pythagoras theorem, we can say that,

NC² = CE² + NE²

or, x² = 9² + (x - 4)²

or, x² = 81 + x² - 8x + 16

or, x² - x² + 8x = 97

or, 8x = 97

or, x = 97/8 = 12.125 ≈ 12.1 (correct to the nearest tenth, that is, rounding off up to one decimal place).

Learn more about chord properties at

https://brainly.com/question/13950364

#SPJ10

Answer : 4 Degrees Celsis​

Explanation : Use The Absolute Value

I  -4  I = 4

◊ YusuCr ◊

Answer: 4 degrees Celsius

Hope this helps!

Answer:

D. (2, -1)

Step-by-step explanation:

Answer:

300 rxc icz ugv ddhhbs hhjo

Answer:

3

Step-by-step explanation:

1(8)+2(16)+3(24)+4(32) ÷ 8+16+24+32

8+32+72+128÷ 8+16+24+32 = 240÷80 = 3

Solution:

Note that:

Simplify the equation to find x.

Add 10 both sides.

Subtract 3x both sides.

Divide 3 both sides.

Answer:

Step-by-step explanation:

opposite angles = equal angles

we solve with a proportion

3x + 50 = 6x - 10

50 + 10 = 6x - 3x

60 = 3x

x = 60 : 3

x = 20

Answer:

37.68 yards

Step-by-step explanation:

Circumference = π x diameter

So if you pull in the numbers to the formula...

circumference = 12 x 3.14

37.68 = 12 x 3.14

Answer:

[tex]Please\ see\ attached\ photo[/tex]

Step-by-step explanation:

[tex]1.Plane\ is\ usually\ painted\ as\ a\ parallelogram,\ and\ the\ plane\ has\ infinite\ ductility.[/tex]

[tex]2.\ A\ line\ has\ no\ endpoints\ at\ both\ ends\ and\ can\ extend\ infinitely\ to\ both\ ends.[/tex]

[tex]3.\ Points\ are\ usually\ represented\ by\ dots[/tex]

[tex]4.\ Same\ as\ 3[/tex]

[tex]5.\ Same\ as\ 2[/tex]

I hope this helps you

:)

Solution:

Note that:

Finding the area of the square.

Finding the area of the 2 triangles.

Since there are two triangles with the same base and height, we will multiply the area by 2 to cover the other triangle.

Finding the area of the trapezoid.

Step-by-step explanation:

Thr solution to a system of equations when graphing is the point of intersection of teh lines

Answer:

√384 esa es la respuesta ayudame a mi porfa

Answer:

28687.5

Step-by-step explanation:

Un gramo equivale a $38,25, por lo que si tenemos 750 de esos gramos, tendríamos que multiplicarlos para obtener el costo total.

Answer:

y=x-40

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

g(f(x)) = g(3x² - 4) = 2(3x² - 4) - 6

so

g(f(2) = 2(3*2² - 4) - 6 = 2*8 - 6 = 16 - 6 = 10