Find the quotient and remainder of x^6-3x^5+x^4-2x^2-5x+6; x^2+2

Answer:

y = [tex]\frac{13x}{10-8x}[/tex]

Step-by-step explanation:

15x + 10y = 8xy + 28x ( subtract 15x from both sides )

10y = 8xy + 13x ( subtract 8xy from both sides )

10y - 8xy = 13x ← factor out y from each term on the left side

y(10 - 8x) = 13x ← divide both sides by (10 - 8x)

y = [tex]\frac{13x}{10-8x}[/tex]

Answer:

y = 13x/10-8x

Step-by-step explanation:

15x + 10y = 8xy + 28x

10y = 8xy + 13x

10y - 8xy = 13x

y(10 - 8x) = 13x

y = 13x/10-8x

Answer:

Step-by-step explanation:

It takes 8 feet to wrap the small box and 12 feet to wrap the large box

Step-by-step explanation:

The cheerleaders from Campo high school are doing a gift wrapping fundraiser at a clothing store

   Yesterday, they wrapped 36 small clothing boxes and 25 large clothing boxes, using a total of 588 feet of wrapping paper

   The day before, they wrap 27 small clothing boxes and 29 large clothing boxes, using a total of 564 feet of gift wrap

We need to find how much paper it takes to wrap each size of box

Assume that they need x feet to wrap a small box and y feet to wrap a large box

∵ The small box is wrapped by x feet

∵ The large box is wrapped by y feet

∵ They wrapped 36 small clothing boxes and 25 large clothing

  boxes, using a total of 588 feet

∴ 36x + 25y = 588 ⇒ (1)

∵ They wrapped 27 small clothing boxes and 29 large clothing

  boxes, using a total of 564 feet

∴ 27x + 29y = 564 ⇒(2)

Now we have a system of equation to solve it

Multiply equation (1) by -3 and equation (2) by 4 to eliminate x

∵ -108x - 75y = -1764 ⇒ (3)

∵ 108x + 116y = 2256 ⇒ (4)

- Add equations (3) and (4)

∴ 41y = 492

- Divide both sides by 41

∴ y = 12

- Substitute the value of y in equation (1) or (2)

∵ 27x + 29(12) = 564

∴ 27x + 348 = 564

- Subtract 348 from both sides

∴ 27x = 216

- Divide both sides by 27

∴ x = 8

It takes 8 feet to wrap the small box and 12 feet to wrap the large box

Answer:

7x+y=-3

Step-by-step explanation:

y-4=-7(x+1)

y-4=-7x-7

y=-7x-7+4

y=-7x-3

-7x-y=3

7x+y=-3

Answer:

Part A:
$12 x 1

Part B: $64.80

tep-by-step explanation:

Answer:

Step-by-step explanation:

The scale number can be interpreted as (1cm/3,000,000 km), a conversion factor.  Since it is a conversion factor, we can invert it to the form:

(3,000,000 km/1cm)

A measure of 12cm on the map would correspond to:

(12cm)*((3,000,000 km/1cm) = 42,000,000 km

Wow - a long trek, if you need water.

Note that inverting the conversion factor isn't totally necessary, since we could use the original form and divide:  

    12 cm/(1cm/(3,000,000km)) = 42,000,000 km

But I dislike division, so I always invert a conversion factor if it makes the calculation more convenient, for me.

Answer:

  a) 120°

  b) 16√3 ≈ 27.7 cm²

Step-by-step explanation:

Each exterior angle of a regular polygon measures 360° divided by the number of sides. For a hexagon, the exterior angle is 360°/6 = 60°. That means the adjacent interior angle is 180°-60° = 120°.

Angle ABC measures 120°.

__

The area of triangle ABC can be found using the formula ...

  A = 1/2ab·sin(C) . . . . area of triangle with sides a, b, and angle C between them

  A = 1/2(8 cm)(8 cm)sin(120°) = (32 cm²)(√3/2) = 16√3 cm²

The area of the triangle is 16√3 cm² ≈ 27.7 cm².

Answer:

∠ABC = 120°

ΔABC = 16√3 cm²

Step-by-step explanation:

Part (a)

Sum of interior angles of a regular polygon = (n - 2) × 180°
(where n is the number of sides)

⇒ Sum of interior angles of a regular hexagon = (6 - 2) × 180° = 720°

All the interior angles in a regular polygon are equal.

⇒ Interior angle = sum of interior angles ÷ number of sides

⇒ ∠ABC = 720° ÷ 6

⇒ ∠ABC = 120°

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

Part (b)

Use the sine rule for area of a triangle:  

[tex]\dfrac12ab \sin(C)[/tex]

(where a and b are the sides and C is the included angle)

Given:

Substituting values into the formula:

[tex]\implies \dfrac12\cdot 8 \cdot 8 \sin(120)=16\sqrt{3} \ \sf cm^2[/tex]

Answer:

  105°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends. For an arc of 210°, an inscribed angle that subtends it will have a measure of 105°.

We normally think of the sides of an inscribed angle as being a chord. However, that chord can be considered part of a secant. When the two points of intersection with the circle get arbitrarily close together, the chord becomes a point, and the secant becomes a tangent.

That is, the angle made by this geometry is simply a degenerate case of an inscribed angle. The relationship with the arc measure is unchanged.

  m∠1 = 105°

Answer:

the first option

Step-by-step explanation:

when exponents are multiplied together, they add their values together.

example: y^2 x y^3 = y^5

written out: y x y x y x y x y = y^5

Answer:A

Step-by-step explanation:

Answer:

C. 180-degree rotation counterclockwise followed by a translation of 5 units to the left

Step-by-step explanation:

Answer:

180° counterclockwise rotation about the origin followed by a translation 5units left

Step-by-step explanation:

Rule for 180° counterclockwise rotation is

Take any point to prove

let it be A

Rotate

Translate 5 units left(change in x)

Yes verified

Answer:

1. 75

[tex] \frac{75 }{1} \times \ \frac{120}{100} = 15 \times 6 \\ \\ = 90[/tex]

2.

[tex] \frac{20}{1} \times \frac{50}{100 } \\ = 10[/tex]

3.

[tex] \frac{25}{100} \times \frac{90}{1} \\ = 22.5[/tex]

4.

[tex] \frac{20}{1} \times \frac{200}{100} \\ = 40[/tex]

5.

[tex] \frac{35}{1} \times \frac{50}{100} \\ = 17.5[/tex]

6.

[tex] \frac{17}{1} \times \frac{65}{100} \\ = 11.05[/tex]

Hope I'm right

Answer: 68

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

The y axis is vertical, and the origin is (0, 0). Therefore, since 3 is the y, the vertical distance is 3 and the horizontal, if you need it, is 6.

Answer:

y=30

Step-by-step explanation:

Answer:

1/4 that's left over because if your take away 1/2 out of 2/6 it = to 1/4

Answer:

1/4 is what's left over because if you take away 2/6-1/2 = to 1/4

Step-by-step explanation:

Answer:

Kim's checking account has $396.76 left.

Step-by-step explanation:

Kim had $472.15 in her checking account. She deposited $188.50 and wrote a check for $263.89. How much is in Kim's checking account now?

Answer:

262.625 square inches

Step-by-step explanation:

10 x 15.5 = 155

10.25 x 10.5 = 107.625

add together = 262.625

Answer: 22.4 ft

Step-by-step explanation:

Answer:

2/10

Step-by-step explanation:

1 whole is equal to 10/10

5/10+3/10=8/10

10/10-8/10=2/10

hope this helps! :)

Answer:

the full lenght of fabric is 10/10 so if she used 3/10 and 5/10 that's in total 8/10.. she used 2/10 for the third skirt

Answer:

624 cubic inches

Step-by-step explanation:

12 x 8 x 6.5 = 624

Answer:

2

Step-by-step explanation:

2d = 2 × d

-10 = 2 × (-5)

The common factor is 2.

Pls, choose me as brainliest!

Answer:

2

Step-by-step explanation:

2d = 2 × d

-10 = 2 × (-5)

The common factor is 2.

Answer:

299.99801 mph

Step-by-step explanation:

Average speed = Total distance/ Total time
= 2414(km)/5

=482.8 km/h

=299.99801 mph

Solution:

1. Finding the product of the base of the rectangular prism

2. Writing the expression for the volume of the prism

Area of base

Volume:-.

Answer:

12 in.

Step-by-step explanation:

2x + x + 3/2x + 1/2x = 40 in. = 5x

x = 8 in.

3(8)/2 = 12

Answer: 2sqrt(5)

Step-by-step explanation:

Answer:

above is the solution to the question

The destructive interference formula for diffraction grating problems is [tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex].

When the maxima of two waves are 180 degrees out of phase, destructive interference occurs: a positive displacement of one wave is cancelled exactly by a negative displacement of the other wave. The resultant wave has zero amplitude.

In a diffraction grating, the formula for brighter patches arising from constructive interference and darker patches arising from destructive interference is:

[tex]d\ sin(\theta) = n\lambda[/tex]

Here, d is the grating spacing, θ is the angle of light, n represents the fringe order, and w denotes the wavelength.

The value of N can only be integers values.

Now, Because destructive interference occurs between the fringes, the destructive interference formula is

[tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex]

where n is again an integer.

Hence, the destructive interference formula for diffraction grating problems is [tex]d\ sin(\theta) = (n+\dfrac{1}{2} )\lambda[/tex].

Learn more about Destructive Interference:

https://brainly.com/question/16098226