use the slope to determine if lines AB and CD are parallel, perpendicular, or neither. (please help asap!!)
Answers
Answer:
It’s perpendicular
Step-by-step explanation:
If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
lines AB and CD are perpendicular to each other
This is all about getting the slope of a line between two coordinates.
The formula for the slope in this case is;
m = (y2 - y1)/(x2 - x1)
We are given coordinates of A and B as;
A(9, 2) and B(-1, 8)
Thus;
m = (8 - 2)/(-1 - 9)
m = 6/-10
m_ab = -6/10 = -3/5
For coordinates of C and D, we have;
C(-5, 16) and D(-8, 11)
Thus;
m_cd = (11 - 16)/(-8 - (-5))
m_cd = -5/-3 = 5/3
For the slopes to be parallel, they have to be equal but for the slopes to be perpendicular, one of them would have to be negative inverse of the other.
We see that; m_cd = 5/3 is same as -1/(m_ab) = -1/(-3/5) = 5/3
Thus, lines AB and CD are perpendicular to each other.
Read more at; brainly.com/question/4853862
Related Questions
what is the solution to the system of equations graphed below?
y=x+3
y=3x+1
Answers
Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4
The volume of a cubical box is 64cm³ . What is its side?
Answers
Answer:
4 cm
Step-by-step explanation:
x = the side of a cubical box
x^3 = 64
But 4^3 also = 64
=> x = 4
Answer:
Volume of a cube = a³
64 = a³
3 root 64 = a
4 cm = a
DATE_
PAGE
if
I the selling
selling prices is Rs 7777 and
His loss is Rs 888 . Find the cost price of radio-
price of a radio
Answers
Answer:
The cost price of a radio is Rs 8665
Step-by-step explanation:
There is a relation between the cost price, loss amount, and the selling price.
In the loss, the cost price must be greater than the selling price.
The cost price = selling price + Loss amountIn our question:
The selling price is Rs 7777
The loss is Rs 888
We need to find the cost price
Let us use the rule above
∵ The selling price = Rs 7777
∵ The loss = Rs 888
→ Substitute them in the rule above to find the cost price
∴ The cost price = 7777 + 888
∴ The cost price = 8665
∴ The cost price of a radio is Rs 8665
hannah bought a pack of 12 cookies for $3.50 from the grocery store. how many packs of cookies can she buy for $17.50?
Answers
Answer:
60 Cookies
Step-by-step explanation:
Set up a proportion
12 / 3.50 = x/ 17.50
Cross multiply
3.5x = 210
x = 60
Calculate the slope of the line that passes through (2,0) and (1,5).
Answers
Answer:
m= -5
Step-by-step explanation:
Teacher takes about 25 minutes to make out a test for a mathematics class. How long will it take to make out tests for all five classes?
Answers
Answer:
2h 5min
Step-by-step explanation:
1 class: 25 min
5 classes: 25 x 5 = 125 min = 2h 5min
Find the area of each circle.
Circumference = 407 in
Radius =
Area =
Help pls ASAP
Answers
Answer:
Answer:
- The area of the two bases is 32π in².
- The lateral area is 40π in².
- The total surface area is 72π in².
Step-by-step explanation:
there you go have a good day
urgent !! please help !! can someone help me with this problem and show work
Answers
Answer:
x = 7 x= -2
Step-by-step explanation:
x^2 -5x -14 =0
What 2 numbers multiply to -14 and add to -5
-7*2 = -15
-7 +2 = -5
(x-7) (x+2) =0
Using the zero product property
x-7 =0 x+2 = 0
x = 7 x= -2
Answer:
Using the snowflake method, factors that multiply to give -14 and add to give -5 are: 2 and -7.
the factors are: (x+2)(x-7)
The ratio of a rectangle's length to its width
is 2 : 1. If the length is 14 cm, what is its
width?
Answers
Answer:
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7
The width is 7 cm
Step-by-step explanation:
Find the distance between
the points (3,-2) and (6,4).
Answers
Answer:
(3,6)
Step-by-step explanation:
First you find the difference between the y values.
6 - 3 = 3.
Then the x values.
4 - -2 = 6
Now form a triangle and use a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
x = √(45), or 3√(5)
The distance is 3√(5).
How many less students had 4 or more colds than 3 or lesscolds last winter?
Answers
What is the value of x!
Answers
because 18/12 = 1.5
so 15/1.5 =10
Find the distance between the two points.
8. (-1,0), (-8, 4)
Answers
Answer:
65
Step-by-step explanation:
Find the distance between the point x = (-1,9) and y = (-2,8)
Answers
Answer:
1.4
Step-by-step explanation:
use distance formula
For the month of April, a checking account has a balance of $523 for 23 days, $2340 for 4 days, and $238 for 3 days. What is the account's mean daily balance for
April?
The account's mean daily balance for April is approximately $
(Round to two decimal places as needed.)
Answers
Answer:
Approximately $103.37 per day
Step-by-step explanation:
As April has 30 days, we have to add together $523, $2340, and $238 to get the total balance for the entire month. In this case, the total balance is $3101. Now, referring back to April having 30 days, $3101÷30 days=$103.366666666 a day, when rounded to two decimal places, it equals $103.37 a day. So, the account's mean daily balance for April is approximately $103.37 a day.
Hopefully the explanation and the answer helps!
The mean daily balance will be 736.77
What is weighted mean?Weighted mean is the mean where some of the value contributing more than the other values.
Weighted mean can be calculated by dividing the sum of frequencies and value by the sum of the frequencies.
weighted mean= ∑fₙxₙ/∑fₙ
where f is the frequency and x is the value.
So according to asked question,
in April, balance is in such a way that $523 for 23 days, $2340 for only 4 days, and $238 for only 3 days.
x₁=$523 , f₁=23
x₂=$2340 , f₂=4
x₃=$238 , f₃=3
weighted mean= sum of the product frequency and value/sum of frequency
= ∑fₙxₙ/∑fₙ
= ((523*23)+(2340*4)+(238*3))/(23+4+3)
=22103/30
=736.7666≅736.77
Therefore the mean daily balance will be $736.77.
Learn more about weighted mean
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The table represents a linear function.
What is the slope of the function?
-3
-2
3
х
-2
-1
0
1
2
у
-2
1
4
7
10
Answers
The slope of the table is 2
How to determine the slope?From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
Read more about slopes at:
https://brainly.com/question/3493733
Lerola and her younger sister Kiara are jogging around a circular track. Lerola jogs far enough from the center of the circle that her laps are half a mile long. Kiara runs around a circle whose circumference is as long as Lerola's. How far from the center of the circle is Kiara running, in feet? Use 3.14 for pi. 3 2There are 5280 feet in a mile.
Answers
Circumference of circular track, C = 0.5 miles = 0.5×5280 feet = 2640 feet.
We know, circumference in circle is given by :
[tex]C = 2\pi r[/tex]
( Here, r is radius i.e distance of centre from track )
Putting values in above equation :
2 × 3.14 × r = 2640
6.28 × r = 2640
r = 420.38 feet
Therefore, distance between centre and track is 420.38 feet .
Hence, this is the required solution.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answers
Answer:
they messed up on step one
Step-by-step explanation:
Answer:
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Step-by-step explanation:
Took the exam and got it right. Hope this helps! <3
How do the measures of the angles of ABC compare with those of A'BC'when A'B'C coinddes wth the other three triangles? What can you say about the presenvation of the angle measurements of a shape during a rotation?
Answers
Answer:
The measure of each angle of abc is equal to the corresponding angle of a'b'c' when coincides with the other three triangles. The measures of the angles of the triangle are preserved as the figure rotates.
Step-by-step explanation:
A shirt cost $74.89 and the sales tax is 10.25%. How much will the shirt cost?
Answers
Answer:
cost for the shirt: $74.89
Sales tax(10.25%): 7.68
total: $82.57
Step-by-step explanation:
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(6)
Answers
conclusion = it is hot
Answer:
Hypothesis: it is hot
Conclusion: It is July.
someone helppp lol.
Answers
Answer:
dam thats wat yall learn in whatever grade u r ik highter for sure but dam im scared now
Step-by-step explanation:
Johanna’s mom paid $2.40 for a -pound box of cereal. How much would 1-pound of that cereal cost? Sorry I really don’t understand
Answers
Answer:
It would cost $2.40 because 1 pound is $2.40
Step-by-step explanation:
On the diagram below, find the measure of each angle show all your work
Answers
Answer:
3
Step-by-step explanation:
from angles on a line = 180°
therefore
(14x + 70 + 20x +8)°= 180°
34x + 78 =180
34x = 180-78
34x= 102
x = 102/34
x= 3
Answer:
3
Step-by-step explanation:
!
WILL GIVE BRAINLIEST FAST!! Will Give Brainliest if you show all the steps. 8x - 6 / 2 = x + 12
Solve for X
Answers
Answer: 15/7 2 1/7
Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.
8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7
Answer:
x = 15/7
Step-by-step explanation:
Reduce the fraction with 2
8x - 3 = x + 12
Move variable to the left-hand side and change its sign
8x - x - 3 = 12
Move constant to the right-hand side and change its sign
8x - x = 12 + 3
collect like terms
7x = 12 + 3
Add the numbers
7x = 15
Divide both sides of the equation by 7
Solution: x = 15/7
Alternate form
x = 2 1/7, x = 2.142857
What are the solutions for x when y is equal to 0 in the quadratic function
y = x2 +9x?
Answers
Answer:
C) x = 0 or x = - 9
Step-by-step explanation:
[tex]y = {x}^{2} + 9x \\ \\ plug \: y = 0 \\ 0 = {x}^{2} + 9x \\ \\ x(x + 9) = 0 \\ \\ x = 0 \: \: or \: \: x + 9 = 0 \\ \\ x = 0 \: \: or \: \: x = - 9 [/tex]
See picture for math work and answer.
There are 13 sixth grade classrooms at LMMS. Each class has about 28 students.
About how many students are there in the whole sixth grade?
Answers
Answer:
364 students
Step-by-step explanation:
multiply 13 by 28
3 hours to clean 5 houses how many houses could be cleaned in 9 hours
Answers
Answer:
15 houses is the answer
Answer:
Let x be the no.of houses cleaned in 9 hours
3 hours 5 houses
9 hours x houses
Using cross multiplication, you get the formula:
3x = 45
x = 15
Therefore, 15 houses are cleaned in 9 hours.
It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. What equation could be solved to find the shortest or longest times she might drive?
Answers
Answer:
Step-by-step explanation:
to find the longest it would be 40+8=48
to find the shortest it would be 40-8=32
Please help!! Thank you ;)
Answers
Answer:
-1/3
Step-by-step explanation:
slope is rise over run so on this one you had to count down to -2 for the rise and count to 6 then simplify to make -1/3
The slope of the line will be equal to 1 / 3. The correct option is D.
What is a slope?
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run.
The formula to calculate the slope of the line is,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given coordinates of the point passing through the line are (-3,4) and (3,2).
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 4- 2 ) / ( 3 + 3 )
Slope = 2 / 6
Slope = 1 / 3
Therefore, the slope of the line will be equal to 1 / 3. The correct option is D.
To know more about slopes follow
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