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2 years ago

Pls help i will give brainliest!

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

8 0

Answer:

$c ^{2 \div 3}$

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There were 14 people at home. Ten people were watching a football game. Four people were playing a board game. Eight people left

arsen [322]

Six people stayed at home because 10+4=14 meaning every one is home but 8 people left the house meaning 14-8=6

therefore 6 people stayed home

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3 years ago

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How do I find the equation of the perpendicular bisector between (-2,5) and (2,-1)?

Arturiano [62]

Answer:

$y = \frac{2}{3} x + 2$

Step-by-step explanation:

Start by finding the slope of the given line.

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

Slope of given line

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

$= \frac{5 + 1}{ - 4}$

$= \frac{6}{ - 4}$

$= - \frac{3}{2}$

A perpendicular bisector cuts through the line at its midpoint perpendicularly.

The product of the slopes of two perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

$- \frac{3}{2} m = - 1$

$m = - 1 \div ( - \frac{3}{2} )$

$m = - 1 \times ( - \frac{2}{3} )$

$m = \frac{2}{3}$

$y = \frac{2}{3}x + c$ , where c is the y-intercept.

To find the value of c, we need to substitute a pair of coordinates that lies on the perpendicular bisector into the equation. Since the perpendicular bisector passes through the midpoint of the given line, we can use the midpoint formula to find the coordinates.

$\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}$

Midpoint of given line

$= ( \frac{ - 2+ 2}{2} , \frac{5 - 1}{2} )$

$=( \frac{0}{2} , \frac{4}{2} )$

= (0, 2)

$y = \frac{2}{3} x + c$

When x= 0, y= 2,

2= ⅔(0) +c

2= 0 +c

c= 2

Thus, the equation of the perpendicular bisector is $y = \frac{2}{3} x + 2$ .

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2 years ago

I need help.. >w<

ruslelena [56]

Answer:

O C)30+6+0.6+0.05 hope this helps

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3 years ago

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Solve for x <br> -1(-3x^2+2x+8)=1(0)

Igoryamba

Exact form: X = -4/3, 2
Decimal form: x= -1.3 repeat, 2

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2 years ago

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3 years ago