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3 years ago

Inequalities x+3 <=10

Mathematics

2 answers:

STatiana [176]3 years ago

6 0

Solutions

x+ 3 <= 10

Subtract 3 from each side:

x <= 7

egoroff_w [7]3 years ago

5 0

$x+3\leq10\\
x\leq7$

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Given quadrilateral RSTU, determine if each pair of sides (if any) are parallel and which are perpendicular for the coordinates

nika2105 [10]

We would need to figure out the gradient of each "pair", as provided in the image.

The equation of the gradient is found by,

m = $\frac{ y_{2 } - y_{1 } }{ x_{2 } - x_{1 } }$

Parallel lines mean they have the same gradient
Perpendicular lines will follow the formula $m_{1 } * m_{2 } = -1$
"None" will apply to those that do not follow either.

Now we calculate the gradient of the pairs given to us by substituting the x and y values.

RS = $\frac{2-5}{8-(-1) }$
= $-\frac{1}{3}$

TU = $\frac{-2 - 5}{-4 -5}$
= $\frac{7}{9}$

Therefore, the "pair" RS and TU will be NONE.

ST = $\frac{5 - 2}{5-8}$
= -1

RU = $\frac{-2 -5}{-4 -(-1) }$
= $\frac{7}{3}$

Therefore, the "pair" ST and RU is also NONE.

Hope this helped! Feel free to ask me if there's any part of the working you don't understand :)

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3 years ago

Solve the system using elimination.<br> 2x + 3y = -2<br> 3x - 6y = 18

ohaa [14]

Answer:

dd the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(

−

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Equation Form:

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In this quadrilateral, point O and point Q are opposite to each other, meaning they add up to 180 degrees

So,

O+Q=180

x+17 + 6x-5 =180

7x+12=180

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But now you know x is 24 degrees so x+17 = 24+17 = 41 degrees

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4 years ago

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kirza4 [7]

Answer:

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Step-by-step explanation:

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