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2 years ago

10 Y plus 9Y minus 6Y plus 6Y simplified

Mathematics

1 answer:

Katena32 [7]2 years ago

4 0

10 y plus 9 y minus 6 y plus 6 y

=> 10y + 9y - 6y + 6y
= 10y + 9y - 0 = 19y

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Find the rectangular coordinates of the point (sqrt3,pi/6)

madreJ [45]

Answer:

$(x, y) = \left(\frac{3}{2}, \frac{\sqrt{3}}{2}\right)$

Step-by-step explanation:

The rectangular coordinates of the point are:

$(x,y) = \left(\sqrt{3}\cdot \cos\frac{\pi}{6}, \sqrt{3}\cdot \sin\frac{\pi}{6}\right)$

$(x, y) = \left(\frac{3}{2}, \frac{\sqrt{3}}{2}\right)$

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3 years ago

What is 1 ten more than 9 ones

Evgesh-ka [11]

19 because 1 ten = 10 ones and 9 one plus 10 ones equals 19 altogether

6 0

3 years ago

Can someone please help I can't solve this problem!!!!!!!!!!!

notsponge [240]

Answer:

8 dolls

Step-by-step explanation:

METHOD 1:

Step 1: Convert 25% into decimal (0.25)

Step 2: Multiply by 32 (32 × 0.25 = 8)

METHOD 2:

25% of a number will be one-fourth of that number. Divide 32 by 4 to get 8 (or multiply 32 by 1/4).

6 0

3 years ago

X^5 + 243 divided by x+3

ch4aika [34]

-3   | 1   0   0   0   0   243 $\longleftarrow$ coefficients of the polynomial you're dividing
.     |                                   $\longleftarrow$ drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
.     | 1

On the left side of the frame, we write -3 because we're dividing by $x+3=x-(-3)$ . (The algorithm is followed for division of a polynomial by a factor of $x-c$ .) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.

-3   | 1   0   0   0   0   243
.     |      -3                         $\longleftarrow$ multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
.     | 1 -3

Repeat step for the remaining columns.

-3   | 1   0   0   0   0   243
.     |      -3   9
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9

-3   | 1   0   0      0   0   243
.     |      -3   9   -27
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27

-3   | 1   0   0      0 0   243
.     |      -3   9   -27   81
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81

-3   | 1   0   0      0 0 243
.     |      -3   9   -27   81 -243
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81       0

which translates to

$\dfrac{x^5+243}{x+3}=x^4-3x^3+9x^2-27x+81$

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e. $x^5+243$ is exactly divisible by $x+3$ .

- - -

Another way to get the same result is to use a well-known result: for $a+b\neq0$ ,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)\implies\dfrac{a^5+b^5}{a+b}=a^4-a^3b+a^2b^2-ab^3+b^4$

and in this case $a=x$ and $b=3$

3 0

4 years ago

Could I get some help please?

slega [8]

Area of a Trapezoid can be defined by:
A = $\frac{1}{2} ( b_{1} + b_{2} )(h)$ just substitute given information
$8.1 = .5( b_{1} +6.7)(1.5)$
8.1 = .75(b₁ + 6.7)
8.1 = .75b₁ + 5.025
8.1 - 5.025 = .75b₁
3.075 = .75b₁
$\frac{3.075}{.75} = b_{1}$
4.1 = b₁
the other base is equal to 4.1

7 0

3 years ago