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3 years ago

How do I work it out ?

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

x - y = 5

Explanation:

As you can see in the first problem the ration is x to y = 8 to 3. This means for every 8 x values, there are 3 y values. Therefore, x - y should be the same as 8 - 3, which is 5.

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Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

2 years ago

Simplify the expression (2-5 root 6) times 3 root 2

lys-0071 [83]

Answer:

6(√2 - 5√3).

Step-by-step explanation:

3√2 ( 2 - 5 √6)

= 6√2 - 15√12

= 6√2 - 15√4√3

= 6√2 - 30√3

= 6(√2 - 5√3)

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3 years ago

Solve this system of equations:<br> y=2x<br> x=-y+6

LenKa [72]

Answer:

(2,4)

Step-by-step explanation:

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2 years ago

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What is the square root of 120?

Oxana [17]

Answer:

10.95

Step-by-step explanation:

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3 years ago

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Is it a ,b,c,d which one?

maksim [4K]

The correct answer is -2/3
Because the dot is 4 steps left of 0, and there are 6 steps from 0-1
So its -4/6
And reducing to its lowest term, its -2/3
You’re welcome :)

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3 years ago