All categories

2 years ago

Which system of linear equations has the ordered pair (-2,8) as its solution?

Mathematics

1 answer:

dexar [7]2 years ago

8 0

Answer:

y - 2x = 12 and x - 2y = -18

$for \: y - 2x \\ 8 - 2( - 2) \\ 8 + 4 \\ = 12 \\ for \: x - 2y \\ - 2 - 2(8) \\ = - 2 - 16 \\ = - 18$

You might be interested in

F(x) = -x + 4 and g(x) = 6x + 3, find (f(x) - g(x)) A. -5x-1 B. 5x +1 C. -7x +1

Pepsi [2]

Answer:

Step-by-step explanation:

f(x) - g(x)

= - x + 4 - (6x + 3)

= - x + 4 - 6x - 3 ← collect like terms

= - 7x + 1 → C

8 0

3 years ago

The length of a shadow of a building is

timofeeve [1]

H^2=x^2+y^2

35^2=29^2+y^2

y^2=35^2-29^2

y^2=384

y=√384

y≈19.60 m (to the nearest hundredth of a meter, or nearest centimeter)

6 0

3 years ago

A painting measures 2.4 feet from left to right. It's hung in the center of a rectangular wall measuring 20 feet from left to ri

kvv77 [185]

If the painting lies in the middle of the rectangle and half of 20 f is 10 so then half of the painting that is on half of the wall would be only 1.2f if you take 10-1.2= 8.8f your final answer.

4 0

3 years ago

Read 2 more answers

The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli

ira [324]

Answer:

$\dfrac{40}{42}$

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

$\dfrac{x}{x+2}$

If both numerator and denominator are decreased by six, the fraction becomes:

$\dfrac{x-6}{x+2-6}$

The simplified result is $\dfrac{17}{18}$

Therefore:

$\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40$

Substituting x=40 into the initial fraction

$\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}$

Therefore, the original fraction is $\dfrac{40}{42}$

4 0

3 years ago

What is the length of the rope? + more questions

vivado [14]

The first one is 60 ft

4 0

3 years ago