Mathematics College
Answers
Answer 1
Answer:
4 units
Step-by-step explanation:
Given
[tex]G = (4,2)[/tex]
[tex]E = (1,-2); F = (7,-2)[/tex]
Required
Determine the distance
We need to calculate the equation of EF
But first, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (1,-2)[/tex]
[tex](x_2,y_2) = (7,-2)[/tex]
So:
[tex]m = \frac{-2 - (-2)}{7 - 1}[/tex]
[tex]m = \frac{0}{6}[/tex]
[tex]m = 0[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 0[/tex] and [tex](x_1,y_1) = (1,-2)[/tex]
[tex]y - (-2) = 0(x - 1)[/tex]
[tex]y +2 = 0[/tex]
So, we are to calculate the distance between point [tex]G = (4,2)[/tex] and line [tex]y +2 = 0[/tex]
The distance is calculated using:
[tex]d = \frac{|Ax_1 + By_1 + c|}{\sqrt{A^2 + B^2}}[/tex]
In [tex]G = (4,2)[/tex], we have:
[tex](x_1,y_1) = (4,2)[/tex]
A general equation has [tex]Ax + By + c = 0[/tex] as its format
By comparison
[tex]A = 0[/tex]
[tex]B = 1[/tex]
[tex]c = 2[/tex]
[tex]d = \frac{|Ax_1 + By_1 + c|}{\sqrt{A^2 + B^2}}[/tex] becomes
[tex]d = \frac{|0 * 4 + 1 * 2 + 2|}{\sqrt{0^2 + 1^2}}[/tex]
[tex]d = \frac{|0 + 2 + 2|}{\sqrt{0 + 1}}[/tex]
[tex]d = \frac{|4|}{\sqrt{1}}[/tex]
[tex]d = \frac{4}{1}[/tex]
[tex]d = 4[/tex]
Hence, the distance is 4 units
Related Questions
Help, I’ll give brainliest if you tell me what like terms and terms are.
Answers
Answer:
Step-by-step explanation:
7x + 6 + 5
six and five both are regular numbers but the 7x is not like term
7x + 11
Find the value of x in the triangle shown below.
15
X
19
Answers
Answer:
B. x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
Step 1: Define
We have a right triangle. Therefore, we can use PT to solve for the missing side.
Step 2: Identify Variables
Leg a = 9
Leg b = x
Hypotenuse c = 15
Step 3: Solve for x
Substitute: 9² + x² = 15²Isolate x term: x² = 15² - 9²Exponents: x² = 225 - 81Subtract: x² = 144Isolate x: x = 12
Answer:
Value of X = 12
Given - A right angle triangle
To find - Value of X
Solution -
using Pythagoras Theorem
(Altitude)^2 + (base)^2 = (Hypotenuse) ^2
(x)^2 + (9)^2 = (15)^2
x^2 + 81 = 225
x^2 = 225 - 81
x^2 = 144
x= root 144
x = 12
id : 237 514 2470
pass : frmCV5
Answers
Answer:
which subject ....
Which of the following is equivalent to 3(y – 1 + 2y)?
Answers
Answer:
Simplify the expression.
3(y-1+2y)
3y - 3 + 6y
9y - 3
In how many ways can 4 people sit down in 6 seats in a row
Answers
Answer:
360
Step-by-step explanation:
1st person can be seated in 6 ways, 2nd person in 5 ways, 3rd person in 4 ways and 4th person in 3 ways.
Required number of ways =(6×5×4×3)=360.
Hope this helps!!! Have a great day!! :D
Use substitution to solve the system.
X = 2y +6
2x + 5y = 3
Answers
Point Form:
(4,−1)(4,-1)
Equation Form
X = 4, y = -1
Identify the line of reflection,
O X-axis
OY- axis
Answers
Y- Axis
Bc it is being reflected from the Y- Axis
2.
What is the approximate perimeter of the triangle
Shown below
A. 15.7 units
B. 18.7 units
C. 19.2 units
D. 19.8 units
Answers
Answer:
This is B I think if I'm wrong I'm sorry for wasting your time
Answer: It's C 19.2 Units
Got it Right on my test
Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy.
Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Empathy Score 37 48 42 52 56 61 62 46 45 47 55 70 24 72 31 102
Brain Activity -0.12 0.389 0.018 0.363 0.012 0.406 0.106 0.52 0.15 0.744 0.246 0.568 0.216 0.721 0.369 0.79
Given that the equation for the regression line is ŷ = 0.00753x - 0.06759, what is the residual for subject 15?
Answers
Answer:
the residual is 0.2032
Step-by-step explanation:
The regression line has been given as:
Y^ = 0.00753X-0.06759
The paired observation for X is (31, 0.369)
The value of X is the empathy score under subject 15 = 31
The value of the brain activity under subject 15 is 0.369
So we have y^ = 0.00753(31) - 0.06759
= 0.1658
Then the residual = y - y^
= 0.369 - 0.1658
= 0.2032
Therefore the residual is 0.2032
Please check the attachment for the table, it will aid you in understanding the solution
if 6L + 5B = 52 and 12L + 13B = 119 how much is L worth?
Answers
Answer:
4.5 I already did it on the other problem
Step-by-step explanation:
anyone know this and can help?!
Answers
Answer:
65.4°
Step-by-step explanation:
According to question
The equation is
Cos(x)=5/12
x=acos(5/12)
x=65.4°
Determine if the given lines are parallel, perpendicular, or neither.
-2x-3y=9
4x+6y=24
Answers
Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines
[tex]-2x-3y=9[/tex]
[tex]4x+6y=24[/tex]
Writing the equations in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
[tex]-2x-3y=9[/tex]
[tex]y=-\frac{2}{3}x-3[/tex]
Thus, the slope = m₁ = -2/3
also
[tex]4x+6y=24[/tex]
[tex]y=-\frac{2}{3}x+4[/tex]
Thus, the slope = m₂ = -2/3
We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.
NEED HELP ON 17 AND 18!!!
Answers
For question 17 it’s the last one
#17: C+D=0
This is because -4+4 is 0. And 0 is equal to 0...
Find the median of each set of data.
12, 8, 6, 4, 10, 1
6, 3, 5, 11, 2, 9, 5,0
30, 16, 49, 25
Answers
1) 7
2) 5
3) 27.5
hope this helped I put the answers in the order that you wrote them on here(:
Please helppppppppp!!!!!!!!
Answers
Answer:
1. f(12), 2. F(m)=2500, 3. F(v)>_3000, 4. 0.9f(30)
Step-by-step explanation:
Emma has a rectangular garden. She wants to make the width and length of the garden 3 times as large as it is now!
How many times larger will the area of the enlarged garden be compared to the area of the original garden?
A. 3
B. 6
C. 9
O
OD. 12
Answers
Answer:
The answer is 9
Step-by-step explanation:
3X3X3=9 because she said she wanted to make it 3 TIMES larger
Area of enlarged garden is 9 times the area of the original garden.
What is Area?
" Area is the space occupied by an object which is two dimensional in shape."
Formula used to find Area
Area of a rectangle = Length × Width
Let 'l' be the length of the garden.
And 'b' be the width of the garden.
According to the question,
New length = 3l
New Width = 3b
Area of original garden = l × b
Area of enlarged garden = 3l × 3b
= 9 ( l × b )
= 9 × ( Area of original garden)
Hence Area of enlarged garden is 9 times the area of the original garden.
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Billy has 80 dollars to go shopping. He sees a video game for 60 dollars. What percent of his money
would he be spending?
Help ASAP
Answers
Answer:75%
Step-by-step explanation:
Answer:
100/$80 = 1.25
1.25 x $60 = 75%
Billy would have spent 75% of his money
Step-by-step explanation:
100/$80 = 1.25
1.25 x $60 = 75%
Billy would have spent 75% of his money
3
A farmer has a rectangular field.
The field is 300 m long and 200 m wide.
(a) Calculate the perimeter of the field.
The farmer is buying fence panels.
He needs a total length of 200 m of fence panels.
Each fence panel is 2.5 m in length.
(b) Work out how many fence panels the farmer will need to buy.
(2)
Answers
Answer:
(a) 1km
(b)80 fence panels
Step-by-step explanation:
(a) perimeter = 300+300= 600
200+200= + 400
=1000m
1km = 1000m
(b).
1panel = 2.5 m 1× 200÷2.5 = 80
=200m
Find the length of AC
Answers
Answer:
we can use tan to solve this
tan=opposite/adjacent
tan(a)=BC/AC
tan(34)=29/AC
ACtan(34)=29
AC=29/tan(34)
by using a calculator we see that AC=42.9942678856 or 43 rounded
Step-by-step explanation:
A line passes through the points (-4,-8) and (6,10). Write an equation that represents a line parallel to this line.
Answers
Answer:
The answer is Jksbns because it is relevant to communism and kim jong un
Which quantity is proportional to 20/5?
Answers
Answer:
100/25, 60/15, and 4/1
Step-by-step explanation:
Answer:
It's 10/2, 100/25 and 60/15
Step-by-step explanation:
Can u make an equation?
Answers
Answer:
3x + -3 = 3
Step-by-step explanation:
3x + -3 = 3
x = 1
Answer:
B
Step-by-step explanation:
3x-3=3
3x=6
x=2
What is the answer to this math problem?
Answers
Answer:
F is -5, 4
G is 0, 1
H is 0, 4
I hope this is right and if it is not then I'm sorry.
I need a lil help y’all lol .
Answers
Answer: 9 gallons
Step-by-step explanation:
the rule is every 2 minutes 3 gallons of water go away
so if you do after 12 minutes, the answer would be 9
hope I explained it well
If a customer has $50 to spend for how many hours can they rent the bicycle if it's $12 an hour
Answers
Answer:
4 1/6 hours
Step-by-step explanation:
This is true because you have to divide $50 by 12 to get the answer because 50 is how much they have to spend and it will take 12 dollars to rent the bike for 1 hour, meaning that they have to divided 50 by 12
This was the only major battle fought in New England during the War. Twelve hundred Patriots surrounded Boston, hoping to force the British to leave the city. When they succeeded, it became apparent that the untrained Patriot soldiers could possibly win the Warcchhhh
Answers
Step-by-step explanation:
Bunker Hill was the name of the battle!
please answer this 3/4 of x=16 find x
Answers
Answer:
12
Step-by-step explanation:
Simplify. 19x - 24x
What is the answer
Answers
Answer:
x=0
Step-by-step explanation:
Simplifying
19x + -24x = 0
Combine like terms: 19x + -24x = -5x
-5x = 0
Solving
-5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '-5'.
x = 0
Simplifying
x = 0
Answers:−5
solution:19−24
Complete the function digits(n) that returns how many digits the number has. For example: 25 has 2 digits and 144 has 3 digits
Answers
Answer:
Step-by-step explanation:
We can get this done by using the code
def digits(n):
count = 0
if n == 0:
return 1
while (n > 0):
count += 1
n= n//10
return count
Also, another way of putting it is by saying
def digits(n):
return len(str(n))
------------------------------------------
print(digits(25)) # Should print 2
print(digits(144)) # Should print 3
print(digits(1000)) # Should print 4
print(digits(0)) # Should print 1
Doing this way, we've told the system to count the number of figures that exist in the number. If it's 1000 to 9999, then it records it as 4 digits. If it's 100 - 999, then it records it as 3 digits. If it's 10 - 99, it records as 2 digits. If it's 0 - 9, then it has to record it as a single digit.
Thanks
Following are the digits function that calculte the digits:
Program Explanation:
In this question, we define two in which one use predefine methods and one is used for calculate value by logics, which can be defined as follows: Defining a method "digits" that takes "n" variable inside the parameter.Inside the method "x"variable that converts parameter value into string and counts its length value and use return keyword that return the length of x.Outside the method, a variable n is define that inputs value, and call the method and print its return value.
Program:
def digits(n):#defining a method digits that takes n variable in the parameter
x=len(str(n))#defining a variable x that converts parameter value into string and counts its length value
return x#using return keyword that return the length of x
n=int(input("Ennter number: "))#defining a variable n that inputs value
print(n, "has", digits(n) ,"digits") #using print method that calls the digits method and print its value
OR
def digits(n):#defining a method digits that takes n variable in the parameter
x = 0#defining an integer variable x
if n == 0:#defining an if block that checks n value equal to 0
return 1#return value 1
while (n > 0):#defining a while loop that check n value grater than 0
x += 1#incrementing the value of x
n =n//10#calculating the digits
return x#return digits value
n=int(input("Ennter number: "))#defining a variable n that inputs value
print(n, "has", digits(n) ,"digits") #using print method that calls the digits method and print its value
Output:
Please find the attached file.
Learn more:
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4 cards are chosen at random from a deck of 52 cards without replacement. what's the probability of choosing a ten, a nine, an eight, and a seven in order?
Answers
Answer:
12%
Step-by-step explanation:
im not sure so sorry if wrong
The probability of choosing a ten, a nine, an eight, or a seven in order is 3.9 10⁻⁵.
What is probability?
Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that 4 cards are chosen at random from a deck of 52 cards without replacement.
The probability of choosing a ten, a nine, an eight, or a seven in order is calculated as,
Probability = ( 4 / 52 ) x ( 4 / 51 ) x ( 4 / 50 ) x ( 4 / 49 0
Probability = 3.9 x 10⁻⁵
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