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WINSTONCH [101]
3 years ago
12

Find the co-ordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by

Mathematics
1 answer:
spin [16.1K]3 years ago
6 0

Answer:

(6.4, 2.2)

Step-by-step explanation:

(3-1)/(8-4) = 2/4 = 1/2 = m

y = mx + b

1 = 1/2(4) + b

-1 = b

y = 1/2x - 1

perpendicular slope is -2

y = mx + b

3 = -2(6) + b

15 = b

y = -2x + 15

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I’m confused on this one
GenaCL600 [577]

The slope of CD is

m = \dfrac{6 - -4}{2 - 0} = 5

The slope of the perpendicular bisector is the negative reciprocal,

n = -1/m = - \dfrac 1 5

The perpendicular bisector passes through M, the midpoint of CD

M =( (0+2)/2, (-4 + 6)/2) = (1, -1)

So point slope form for the perpendicular bisector is

y - -1 = - \frac 1 5(x - 1)

Solving for y gives slope intercept form.

y = - \frac 1 5 x - \frac 4 5

Not sure how to type that without spaces; we didn't have online homework back then.

Answer: y=(-1/5)x-4/5

3 0
3 years ago
Can anyone help me out on this not too sure on this
Paraphin [41]

Answer:

y = 0.1x - 4

Step-by-step explanation:

Given the following data;

Points on the x-axis (x1, x2) = (-3, 7)

Points on the y-axis (y1, y2) = (-7, -6)

First of all, we would find the slope;

Mathematically, slope is given by the formula;

Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis}

Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}}

Substituting into the equation, we have;

Slope = (-6 - (-7))/(7 - (-3))

Slope = (-6 + 7)/(7 + 3)

Slope = 1/10

Slope = 0.1

Next, we would write the equation using the formula;

y - y1 = m(x - x1)

y - (-7) = 0.1(x - (-3))

y + 7 = 0.1(x + 3)

y + 7 = 0.1x + 3

y = 0.1x + 3 - 7

y = 0.1x - 4

5 0
3 years ago
Lyas rolls a 1–6 number cube. Find the probability that he
xxTIMURxx [149]

Answer:

5/6

Step-by-step explanation:

4,5,6- Numbers greater than 3

2,3- Prime numbers

Sample space={1,2,3,4,5,6}

P(E)=5/6

3 0
2 years ago
What is the variable in the algebraic expression - 9b + 11
vovangra [49]

The variable in this algebraic expression is b

3 0
2 years ago
Read 2 more answers
A valet makes $53 each day he works and approximately $7 in tips for each car he parks. if he wants to make at least $186 in one
eimsori [14]

Answer:

19 Cars

Step-by-step explanation:

Write a linear equation:

y=7x+53

Y = Total money

X = cars parked

If we want to earn 186 dollars a day then sub y for 186 and solve x:

186=7x+53

186-53=7x

133=7x

7x=133

x=133/7

x=19

This means that he will need to park 19 cars a day to earn a total of 186 dollars in one day.

5 0
1 year ago
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