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3 years ago

Find the Remainder of x^2 - 5x - 22 divided by x + 3

Mathematics

1 answer:

Len [333]3 years ago

5 0

x -8
___________
x+3 I x² -5x -22
x² +3x
---------
-8x -22
-8x -24
-----------
2
the remainder is 2.

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Need help of simplifying each sum or difference

dimaraw [331]

First you need to get a common denominator. The first two problems already have a common denominator, so you just have to find the sum and difference of the two problems, respectively.

6.) (9y-3)/(y^2-5)

8.) 3/xy^3

Two find a common denominator, find the smallest value that has BOTH denominators as factors.

10.) 8x^3*y^3 is the common denominator

Answer: 2/(8*x^3*y^3)

12.) Factor x^2 + 4x + 4 to get (x+2)(x+2)

Therefore, x+2 is already part of x^2 + 4x + 4

(x+4)/(x^2+4x+4)

14.) Factor both denominators..

4(y+2) and y(y+2)

So the common denominator would be 4y(y+2)

The first fraction is missing a "y" so multiply the numerator by y to get y^2

The second fraction is missing a "4" so multiply the numerator by 4 to get 4

(y^2 - 4)/(4y(y+2))

So can factor the numerator to get (y+2)(y-2). There if a (y+2) on top and bottom so they cancel out.

Answer: (y-2)/4y

6 0

4 years ago

98 POINTS AND BRAINLIEST TO BEST ANSWER!!!!!!!!!!!

lidiya [134]

Part A: the x-cordinates of where the graphs of the equations intercept are solutions because they make each side of the equation equal to the same value, making them equal. Basically, both functions put out the same value at that point x, making them equal.

Part B: See the attached image. From the tables we can see that both equations have the same output at x=-2, so that is where the graphs would intersect and that would be the solution. They both put out .0625 at x=-2

Part C: You can solve the equation 4^x=2^(x-2) graphically by plotting both sides of the equation as separate functions. In your graphing calculator, you would plot y=4^x and y=2^(x-2), and see at what x-value they intersect to find the solution

8 0

3 years ago

The semicircle shown at left has center X and diameter WZ. The radius XY of the semicircle has length 2. The chord YZ has length

GaryK [48]

Answer:

4π/3 square units

Step-by-step explanation:

Triangle XYZ is equilateral,

The central angle of the sector is 120°, or 2π/3 radians.

The area of a sector of central angle β is given by

.. A = (1/2)r^2*β . . . . . . β in radians

.. A = (1/2)*2^2*(2π/3) = 4π/3 square units

5 0

3 years ago

I need to find the value of x

tangare [24]

Answer:

x = $\sqrt{21}$

Step-by-step explanation:

AC² = AB² + BC²

BC² = 3² + x² = 9 + x²

AB² = 7² + x² = 49 + x²

But AC² = (7 + 3)² = 100

∴ 100 = 49 + x² + 9 + x²

2x² + 58 = 100

x² = 50 - 29 = 21

x = $\sqrt{21}$

3 0

3 years ago

Read 2 more answers

Use quadrilateral ABCD to find the value of x. The figure is not drawn to scale. Use the following dimensions: m⦨ABC = 4x◦, m⦨BC

solmaris [256]

Answer/Step-by-step explanation:

1. Given:

m<ABC = 4x°,

m<BCD = 3x°,

m<CDA = 2x°,

m<DAB = 3x°

Sum of quadrilateral = (n - 2)180

Quadrilateral has 4 sides, therefore, n = 4.

Sum of quadrilateral = (4 - 2)180 = 2*180 = 360°

Equation to solve for x would be:

m<ABC + m<BCD + m<CDA + m<DAB = 360

Substituting the given expression for each angle, we have:

4x + 3x + 2x + 3x = 360

12x = 360

Use the above equation to solve for x by dividing both sides by 12

x = 30

Find the measures of all the interior angles by substituting the value of x in each given expression for each angle as follows:

m<ABC = 4x = 4*30 = 120°

m<BCD = 3x = 3*30 = 90°

m<CDA = 2x = 2*30 = 60°

m<DAB = 3x = 3*30 = 90°

[Check: 120 + 90 + 60 + 90 = 360°]

2. <CDA and <ADE form a linear pair. They are supplementary angles.

Since supplementary angles sum up to equal 180°, and <ADE is a supplement of <CDA (60°), therefore:

m<ADE = 180° - 60° = 120°

8 0

3 years ago