1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gladu [14]
2 years ago
15

On a coordinate plane, line M N goes through points (2, 3) and (negative 3, 2). Point K is at (3, negative 3). Which point could

be on the line that is perpendicular to Line M N and passes through point K? (0, −12) (2, 2) (4, 8) (5, 13)
Mathematics
2 answers:
Fynjy0 [20]2 years ago
8 0

MN goes through

  • (2,3)
  • (-3,2)

Slope:-

  • m=2-3/-3-2=-1/-5=1/5

Slope of perpendicular line:-

  • -5

Passes through k(3,-3)

Equation in point slope form

  • y-y1=m(x-x1)
  • y+3=-5(x-3)
  • y+3=-5x+15
  • y=-5x+12

Check one by one

  • 0=-5(-12)+12=60+12=72
  • 2=-5(2)+12=-10+12=2

Yes option B is correct

antiseptic1488 [7]2 years ago
3 0

Answer:

(2, 2)

Step-by-step explanation:

First find the slope of the line MN, using the two given points:

\sf let\:(x_1,y_1)=(2,3)

\sf let\:(x_2,y_2)=(-3,2)

\implies \sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-3}{-3-2}=\dfrac15

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope (m) of the line perpendicular to MN is:

\implies \dfrac15 \times m=-1

\implies m=-5

Using the point-slope form of the linear equation with point K (3, -3), we can construct the linear equation of the line perpendicular to MN:

\sf y-y_1=m(x-x_1)

\implies \sf y-(-3)=-5(x-3)

\implies \sf y=-5x+12

Now we have the equation of the line perpendicular to MN, we can input the x-values of the solution options to see which once is correct:

x=0\implies \sf y=-5(0)+12=12\implies (0,12)

x=2\implies \sf y=-5(2)+12=2\implies (2,2)

x=4\implies \sf y=-5(4)+12=12\implies (4,-8)

x=5\implies \sf y=-5(5)+12=-13\implies (5,-13)

Therefore, the point that is on the line that is perpendicular to MN and passes through point K is (2, 2)

You might be interested in
-1.2= y/2.4 -1.7<br> Solve for y
evablogger [386]

{\huge{\boxed{\sf{Question}}

-1.2= y\div2.4 -1.7

Solve for y

{\huge{\boxed{\sf{Answer\:with\:explanation }}}

let's put our equation first

-1.2= y\div2.4 -1.7

Flip the equation

y\div2.4-1.7=-1.2

Now follow the rule of BOMDAS/PEMDAS

{\huge{\boxed{\sf{BOMDAS }}}

  • Brackets
  • Of multiplication
  • Division
  • Addition
  • Subtraction

{\huge{\boxed{\sf{PEMDAS}}}

  • Parenthesis
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

_________________________

{\huge{\boxed{\sf{Solve\:the\:equation}}}

_________________________

y\div2.4-1.7=-1.2

{\underline{simplify}}

0.416667y-1.7=-1.2

add 1.7 to both sides

0.416667y=0.5

Divide both sides by 0.416667

y=1.2

{\huge{\boxed{\sf{Answer}}}

y would equal 1.2

4 0
2 years ago
What are some examples of irrational numbers
vaieri [72.5K]
Common Examples of Irrational Numbers
Pi, which begins with 3.14, is one of the most common irrational numbers. ...
e, also known as Euler's number, is another common irrational number. ...
The Square Root of 2, written as √2, is also an irrational number.
6 0
3 years ago
Read 2 more answers
2. The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of
IgorC [24]

Answer:

a) 37.31 b) 42.70 c) 0.57 d) 0.09

Step-by-step explaanation:

We are regarding a normal distribution with a mean of 35 and a standard deviation of 6, i.e., \mu = 35 and \sigma = 6. We know that the probability density function for a normal distribution with a mean of \mu and a standard deviation of \sigma is given by

f(x) = \frac{1}{\sqrt{2\pi}\sigma}\exp[-\frac{(x-\mu)^{2}}{2\sigma^{2}}]

in this case we have

f(x) = \frac{1}{\sqrt{2\pi}6}\exp[-\frac{(x-35)^{2}}{2(6^{2})}]

Let X be the random variable that represents a row score, we find the values we are seeking in the following way

a)  we are looking for a number x_{0} such that

P(X\leq x_{0}) = \int\limits^{x_{0}}_{-\infty} {f(x)} \, dx = 0.65, this number is x_{0}=37.31

you can find this answer using the R statistical programming languange and the instruction qnorm(0.65, mean = 35, sd = 6)

b) we are looking for a number  x_{1} such that

P(X\leq x_{1}) = \int\limits^{x_{1}}_{-\infty} {f(x)} \, dx = 0.9, this number is x_{1}=42.70

you can find this answer using the R statistical programming languange and the instruction qnorm(0.9, mean = 35, sd = 6)

c) we find this probability as

P(28\leq X\leq 38)=\int\limits^{38}_{28} {f(x)} \, dx = 0.57

you can find this answer using the R statistical programming languange and the instruction pnorm(38, mean = 35, sd = 6) -pnorm(28, mean = 35, sd = 6)

d) we find this probability as

P(41\leq X\leq 44)=\int\limits^{44}_{41} {f(x)} \, dx = 0.09

you can find this answer using the R statistical programming languange and the instruction pnorm(44, mean = 35, sd = 6) -pnorm(41, mean = 35, sd = 6)

6 0
3 years ago
Read 2 more answers
Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x
iren [92.7K]

Answer:

what is the blank for

Step-by-step explanation:

sorry I mean bank

6 0
3 years ago
WILL AWARD BRAINLIEST
MAVERICK [17]

Answer:

ΔABC ~ ΔDEC

Step-by-step explanation:

Given : DE║AB

              Statements                              Reasons

1). DE║AB                                              1). Given

2). ∠CDE ≅ ∠CAB                                2). Corresponding angles

                                                [Since DE║AB and AC is the transverse]

3). ∠CED ≅ ∠CBA                                3). Corresponding angles

                                                [Since DE║AB and BC is the transverse]

4). ΔABC ~ ΔDEC                                 4). By AA property of similarity    

Hence ΔABC is similar to ΔDEC.

6 0
3 years ago
Other questions:
  • Jamal works at the recreation center 15 hours a week during the school year he earns $ 8.75 an hour in a typical month he works
    13·2 answers
  • A store has a %25, percent off sale on coats. With this discount, the price of one coat is $34.50. What is the original price of
    9·1 answer
  • Let p(z)=0.54, p(y)=0.22, and p(z u y)= 0.62. Find each probability.
    5·1 answer
  • Find the original price of a pair of shoes if the sale price is $ 11 after a 75 % discount.
    10·2 answers
  • A businessman bought a dealership that is incurring a loss of $500,000 a year. He decided to strategize in order to turn the bus
    10·1 answer
  • 2(a + 3) = −4 i need help i don't understand
    6·2 answers
  • An obtuse triangle has side lengths of (5.5x + 6.2y) centimeters, (4.3x + 8.3z )and (1.6z + 5.1y) centimeters. Which expression
    11·1 answer
  • Round 967 to ? round to the nearest hundred
    7·2 answers
  • HELP HELP HELP HELP HELP
    12·2 answers
  • Which of the quotients is equivalent to -5/8 select all that apply
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!