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3 years ago

Solve the systems of equations- x-y=4, 2x-5y=2 (6,2) (-6,2). (2,6). (2,-6)

Mathematics

1 answer:

weqwewe [10]3 years ago

5 0

Answer:

its 4

Step-by-step explanation:

2+2 = 4 hardest question of all time but i know it

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National Income (NI) is the sum of the incomes that all individuals in an economy earn in the forms of wages,

Dennis_Churaev [7]

Answer:

\simeq 14.94 billion dollars

Step-by-step explanation:

During the period 1994 - 2004, the 'National Income' ,(NI) of Australia grew about 5.2% per year (measured in 2003 U. S, dollars). In 1994 , the NI of Australia was $ 4 billion.

Now,

(2020 - 1994) = 26

Assuming this rate of growth continues, the NI of Australia in the year 2020 (in billion dollars) will be,

$4 \times[\frac{(100 + 5.2)}{100}}]^{26}$

= $4 \times[\frac{105.2}{100}]^{26}$

=\simeq 14.94 billion dollars (answer)

8 0

3 years ago

The sum of three numbers is 8. The third is 9

Ierofanga [76]

Answer:

→ First value is 1

→ Second value is 2

→ Third value is 5

Step-by-step explanation:

• let numbers be x, y and z

${ \tt{z = 8y - 9 - - - (eqn \: 1)}} \\ \\ { \tt{10x = 8y - 7 - - - (eqn \: 2)}} \\ \\ { \tt{x + y + z = 8 - - - (eqn \: 3)}}$

• from eqn 2, make x the subject:

${ \tt{x = \frac{8y - 7}{10} }} \\$

• substitute all variables in eqn 3:

${ \tt{ \frac{8y - 7}{10} + y + 8y - 9 = 8}} \\ \\ { \tt{8y - 7 + 10y + 80y - 90 = 80}} \\ \\ { \tt{98y = 177}} \\ \\ { \boxed{ \tt{ \: y = 1.8}}}$

• find z

${ \tt{z = 8y - 9}} \\ \\ { \tt{z = 8(1.8) - 9}} \\ \\ { \tt{z = 14.4 - 9}} \\ \\ { \boxed{ \tt{ \: z = 5.4 \: }}}$

• find x:

${ \tt{x = \frac{8(1.8) - 7}{10} }} \\ \\ { \tt{x = \frac{7.4}{10} }} \\ \\ { \boxed{ \tt{ \: x = 0.74 \: }}}$

Rounding to nearest value:

${ \boxed{ \rm{x = 1}}} \\ { \boxed{ \rm{y =2 }}} \\ { \boxed{ \rm{z = 5}}}$

7 0

2 years ago

Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Please answer quickly

Oksanka [162]

The point-slope form of the equation of a line is

$y - y_1 = m(x - x_1)$

where

$(x_1, y_1)$

is a point on the line, and

$m$

is the slope of the line.

We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.

The slope of the line that passes through points

$(x_1, y_1)$ and $(x_2, y_2)$

is

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.

$m = \dfrac{4 - 5}{-1 - (-3)} = \dfrac{-1}{-1 + 3} = \dfrac{-1}{2} = -\dfrac{1}{2}$

Now we use the point-slope formula with point 1 and the slope we found just above.

$y - y_1 = m(x - x_1)$

$y - 5 = -\dfrac{1}{2}(x - (-3))$

4 0

3 years ago

Find the surface area of the closed hemisphere

V125BC [204]

Diameter = 8 yards so the Radius = 4 yards:

Area of a sphere = 4π.R² and hemisphere = 2π.R²

Area of hemisphere = 2.π.(4)² = 32.π
But note we didn't calculate yet the are that closes this hemisphere:
Area of the cicle = π.R² = π.(4)² = 16.π, so the surface area of the hemisphere is 32π + 16π = 48.π (Or =150.8 yard²)

8 0

3 years ago

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How many solutions over the complex number system does this polynomial have? 7x^5-33x^4-4x^2+3x+52=0

telo118 [61]

Hello :
in : C
5 solutions

8 0

3 years ago

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