All categories

2 years ago

How do i find the shorted distance between the point and the line

Mathematics

1 answer:

m_a_m_a [10]2 years ago

3 0

Answer:

5 units

Step-by-step explanation:

3x + 4y = 8

4y = -3x+8

y = -3/4+2

The shortest distance between a point and a line is the perpendicular line.

Slope of the perpendicular line: 4/3 and point (-3,-2)

b = -2-(4/3)(-3) = 2

Equation of the perpendicular line: y=4/3x+2

y is equal y

4/3x+2= -3/4x+2

4/3x +3/4x = 2-2

x = 0

Plug x=0 into one of the equations to find y

y = 4/3(0) + 2

y = 2

(0,2) and (-3,-2)

Distance = sqrt [(-3-0)^2 + (-2-2)^2]

Sqrt (-3)^2+ (-4)^2

Sqrt 25 = 5

You might be interested in

Suppose P(E) = 81%; P(E and F) = 9%; and P(E or F) = 65%,

PIT_PIT [208]

Using Venn probabilities, it is found that P(F) = -0.07, which is not a probability, as it is a negative value.

------------------

We have two events, E and F.
Their probabilities are: $P(E) = 0.81, P(E \cap F) = 0.09, P(E \cup F) = 0.65$
The probabilities are related by the following equation:

$P(E \cap F) = P(E) + P(F) - P(E \cup F)$

Replacing into the equation, we can find P(F).

$0.09 = 0.81 + P(F) - 0.65$

$0.16 + P(F) = 0.09$

$P(F) = -0.07$

P(F) = -0.07, which is not a probability, as it is a negative value.

A similar problem is given at brainly.com/question/21421475

4 0

3 years ago

PLEASE HELP ME !! WILL GIVE BRAINLIEST!!

PolarNik [594]

B is a times b
C is also a times b

sorry im stuck on the rest

6 0

3 years ago

I need help ASAP please

Anna007 [38]

I can’t see the question

7 0

2 years ago

What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$