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rusak2 [61]
3 years ago
7

Ten times the sum of half a number and 6 is 8

Mathematics
1 answer:
kaheart [24]3 years ago
3 0
10(1/2x+6)=8 is the algebraic equation.
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The coordinates of the vertices of quadrilateral ABCD are A(−5, 1), B(−2, 5), C(5, 3), and D(2, −1).
Vaselesa [24]

Answer:

mab-2

mbc1/2

mcd-3/4

mad-3/4

Step-by-step explanation:

6 0
3 years ago
Helppppppppppppppppppppppppppppppppppppp
garik1379 [7]

(15a^4 - 30a^5 )/5a^2

= 5a^2(3a^2 - 6a^3) / 5a^2

= 3a^2 - 6a^3

or

= - 6a^3  +  3a^2

4 0
3 years ago
Suppose a South Korean inspirational speaker speaks from a rectangular stage measuring 30 feet by 70 feet. Find the area of the
OleMash [197]
The area of a rectangle is calculated my multiplying the length of the rectangle and the width of the rectangle. In this case, the length (the longer side) is 70 feet while the width (shorter side) is 30 feet. Hence the area is 2,100 ft2. 
4 0
3 years ago
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
Use the graph to find the solution to this system of linear equations. y = 58x + 18 and y = -12x – 1
vfiekz [6]

Answer:


Step-by-step explanation: do you have any choices


4 0
3 years ago
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