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3 years ago

Solving systems of equations by elimination 16x-10y=10 -8x-6y=6

Mathematics

2 answers:

scoray [572]3 years ago

7 0

The answer to this problem is (0,-1). 0 is for x and 1- is for y

4vir4ik [10]3 years ago

6 0

The answer is y=-1
x=0

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Which shows the following expression after the negative exponents have been eliminated?

SVETLANKA909090 [29]

Answer:

$\frac{a^3b^4}{ab^2}$ which is the last choice in the question

Step-by-step explanation:

Simplify

$\frac{a^3b^{-2}}{ab^{-4}} = \frac{a^3}{a}\frac{b^{-2}}{b^{-4}}$

Using the fact that $\frac{x^m}{x^n} =x^{m-n}$

We get

$\frac{a^3}{a} = a^{3-1} = a^2$

$\frac{b^{-2}}{b^{-4}} = b^{-2-(-4)} = b^2$

$\frac{a^3b^{-2}}{ab^{-4}} =a^2b^2$

Multiplying numerator and denominator by $ab^2$ gives

$a^2b^2 \frac{ab^2}{ab^2}$

= $\frac{a^3b^4}{ab^2}$ ANSWER

Hint:

We can eliminate first choice since negative exponents still remain

We can eliminate third choice because the expression has a minus sign which is not possible

That just leaves second and fourth choices to work with

7 0

1 year ago

How much total wrapping paper does it take to wrap two gifts: one with the dimensions of 6 cm by 10 cm by 9.5 cm and the other w

zhuklara [117]

Answer:

gift 1:

424 cm^2

570 cm^3

gift 2:

1420.5 cm^2

3622.5 cm^3

Step-by-step explanation:

We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.

The formula for the surface area is:

A = 2*ab + 2*ac + 2*bc

Gift 1:

A = 2*6*10 + 2*6*9.5 + 2*10*9.5

A = 424 cm^2

That means that gift 1 needs 424 cm^2 of wrapping paper

Gift 2:

A = 2*14*17.25 + 2*14*15 + 2*17.25*15

A = 1420.5 cm^2

That means that gift 2 needs 1420.5 cm^2 of wrapping paper

Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:

V = a*b*c

Gift 1:

V = 6*10*9.5

V = 570 cm^3

This means that gift 1 needs 570 cm^3 of packaging peanuts

Gift 2:

V = 14*17.25*15

V = 3622.5 cm^3

That means that gift 2 needs 3622.5 cm^3 of packaging peanuts

5 0

2 years ago

Which Greek mathematician wrote the most definitive text on geometry, one that is still referred to today?

frutty [35]

The Greek mathematician who wrote the most definitive text on geometry, one that is still referred to today is Euclid. Euclid of Alexandria is also called "Father of Geometry". He was a great Greek mathematician. Euclidean geometry is still widely taught in schools and colleges. I hope the answer comes to your help.

5 0

2 years ago

Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?

geniusboy [140]

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

6 0

2 years ago

Solve for e. 0.75(8 + e) = 2 - 1.25e

timofeeve [1]

Answer:

e = -2

Step-by-step explanation:

Well to solve for e in the following equation,

.75(8 + e) = 2 - 1.25e

We need to distribute and use the communicative property to find e.

6 + .75e = 2 - 1.25e

-2 to both sides

4 + .75e = -1.25e

-.75 to both sides

4 = -2e

-2 to both sides

e = -2

Thus,

e is -2.

Hope this helps :)

3 0

3 years ago