Answers
Slope Formula: (y2 - y1) / (x2 - x1)
Line 1: 3
Point 1 = (-5, -8)
Point 2 = (-1, 4)
Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3
Line 2: 3
Point 1 = (0, 1)
Point 2 = (2, 7)
Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3
Line 3: -1/3
Point 1 = (6, -7)
Point 2 = (-6, -3)
Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3
Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.
Line 1 and Line 2 are parallel because they have the same slope.
Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.
Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.
Hope this helps!! :)
Answer:
3
3
-1/3
Parallel
Perpendicular
Perpendicular
Step-by-step explanation:
You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.
The formula for slope is y2-y1 divided by x2-x1
y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).
y1 is a point from the first pair like (-5, -8), or (0, 1).
You can plug in the values for example:
4 - (-8) / -1 - (-5)
Two negatives equals a positive in math, so
12 / 4
= 3.
The slope for line 1 is 3.
You extend this to the other two lines.
For lines to be parallel, they must have the same slope.
1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.
Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.
For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)
A reciprocal slope of 19348 is -1/19348.
Related Questions
Which one of the following would prove that two triangles are congruenta
Answers
Answer:
Corroponding side lengths are equal
Step-by-step explanation:
Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.
Hope this helps :)
Cup o’ Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?
Answers
Answer:
47%
Step-by-step explanation: 375 × .125 = .046875
rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.
move the decimal three digits to the left and you get, 47%.
question in the picture. HELP! please
Answers
Answer:
1) 4*4x-4*3 and 16x-12
2)15y and 8y+7y
Answer:
16x-12 & 4(4x)-4(3)
15y & 8y+7y
Step-by-step explanation:
A bottle of grape juice costs 6.50$ of you buy 6 bottles you can get 10%discount workout how much you save if you buy 6 bottles
Answers
$39-3.90= $35.10
Your answer is you save $3.90 by buying six bottles
15.35m rounded to the nearest whole number
Answers
Answer:
The answer is 15m
Step-by-step explanation:
The meaning whole number means an actual whole number, decimals are just part's of a whole number, so excluding decimals:
If you look at 5 and compare it to 3 following next, 3 is not higher then 5 and therefore is rounded down.
Hope this helps!
Multiply. (−3 1/8)⋅(1 3/5) What is the product? Enter your answer in the box.
Answers
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
1.235 X 10
HELP PLEASE
Answers
Answer:
12.35
Step-by-step explanation:
Answer:
12.35
Step-by-step explanation:
A video game store was getting rid of old games, selling them 5 for $102.05. If they sold 3 games, how much money would they have made?
First determine how much one game would be and then calculate how much they would make selling 3 games. You must answer BOTH.
one game costs $________
3 games would make them $_______
Answers
Answer:
20.41
Step-by-step explanation:
I got the answer by doing 102.05 divided by 5 the took that number and multiplied it by 3 to get the answer 61.23
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50 (before taxes).
How much popcorn can you buy per dollar?
Answers
Answer:
$ 0.25 Per Ounce of popcorn
Step-by-step explanation:
2.5 / 10 = 0.25
If 10 is the amount of ounces she got of the popcorn, and we divide the total cost by 10, that'll give us the amount for 1 ounce.
I need help finding the x
Answers
Answer:
the answer is x=11......
Mike can drive 375 miles on one full tank of gas,which is 25 gallons.What equation
can mike use to find the total number of miles
Answers
Answer:
375/25=15
Step-by-step explanation:
1/(2+i)²
Solve this question....
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
Given complex number is
[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]
[tex]\rm \: = \: \dfrac{1}{4 - 1 + 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]
We know,
[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 + 16} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{25} [/tex]
[tex]\rm \: = \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]
What are the outputs for an input If x= 5 and the output is y= 3x -4
Answers
Answer:
11
Step-by-step explanation:
y=3 × 5 -4
=15-4
11
this is your answer
Step-by-step explanation:
yyuejekkgebbehekkejwjuehhehjeklwmsb
bdbjejejejjej
14. A customer's cell phone bill cost $60.50. The company charges a monthly fee of $28 plus
five cents for each minute. Create and solve an equation for the number of minutes the
customer spent talking on the phone. Let m represent the number of minutes.
Answers
your work is not complete
Help me with this pls!!!
Answers
We can see that 2 pounds of pineapples is roughly worth $2.50.
To find the cost of 1 pound of pineapple, divide the cost by 2 and we will get $1.25.
HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score?
Answers
Answer:
A. y=x2 - 7
y=x + 6
B. 7
Answer:
A.) 2x = y + 7
y = x + 6
The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.
B.) They are both correct so Jacob's score is 13 points and Paul's is 19.
6 + 7 = 13 (the difference between scores in both equations)
6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.
Hope This Helps!
What is the value for x?
(6x4) B
Enter your answer in the box
rey-
С
X
PLEASE HELPPP
Answers
Answer:
OOOO Shoot im not in high school
Step-by-step explanation:
Leo bought 6 glasses and 6 mugs. Leo knows that he was charged $3.99 for
each
mug
and that the total bill before tax was $65.88. Write and solve an
equation to determine how much Leo was charged for each glass
Answers
Answer:
filedownload.ashx
pls help me will love you forever Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
Answers
Answer:
1)
Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.
2)
Let x be the number of miles.
Then, we have inequality: 8x+2<=10
Solve the inequality: 8x+2<=10
Subtract 2 from both the sides:
8x+2-2<=10-2
Simplify
8x<=8
:
Divide by 8 both sides we get
x<=1;
as shown in figure 1.
4)
From the context of the problem :
we can say that Paul can travel 1 miles or less before reaching his limit of $10.
Step-by-step explanation:
simplified form
(3x+2)(4x² –5x+7)
Answers
Answer:
12x³ - 7x² + 11x + 14
Step-by-step explanation:
(3x + 2)(4x² - 5x + 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute parenthesis
= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms
= 12x³ - 7x² + 11x + 14
maths .....................
Answers
Answer:
in simplify this is- 9a2i+42ab+49b2
Step-by-step explanation:
Write your answer as a coordinate (x,y)
Find the midpoint between the given pairs of points.
(10,8) (14,-6)
Answers
Mekddkdjdjdndndm
Answer:
(12,1)
Step-by-step explanation:
(10+14)/2 and (8+-6)/2
= (12,1)
There are 180 people registered to attend a conference. In order to seat all of the attendees, rows of 12 chairs are set up in the conference room. How many rows need to be set up in order to seat all the attendees with no extra chairs?
Answers
Answer:
15 rows
Step-by-step explanation:
180 divided by 12 is 15.
What are the values of each Halloween icon? (Math Logic Puzzles) (78 POINTS)
Answers
Answer:
Step-by-step explanation:
Parallel to the graph of y = 7x - 6 with y-intercept (0,3)
Answers
Answer:
The graph of the lines is given in the picture below:
100 lamps have been prepared for a function. 3 litres of oil
were required to fill all these lamps completely. Estimate
the capacity of a lamp.
Answers
Answer:
300 liters need to be filled into each lamp
Step-by-step explanation:
hope this helps
the perimeter of a rectangular field is 344m.if the length of the field is 93m.what is it’s width?
Answers
Answer:
79m
Step-by-step explanation:
344-(93x2)=158
158/2=79m
Step-by-step explanation:
perimeter = 344
length = 93
perimeter of rectangle = 2( l+ b )
344 = 2 (93 + b)
344÷2 = 93 + b
172 = 93 + b
172 - 93 = b
79 = b
in other words width is 79
hope it helps
How to draw 0.15+0.36 using a quick picture
Answers
Answer:
heres my photo + answer
Step-by-step explanation:
0.15
+ 0.36
____
0.36
+——
0.51
There we go :)
Graham drove 42 1/3 miles in 1 1/3 hours. What is the unit rate for miles per hour? Use pencil and paper. Describe a situation in which the unit rate would be easier to work with than the given rate.
Answers
Answer:
Step-by-step explanation:
42+(1/3)
42*(3/3)+(1/3)
(126/3) + 1/3
126/3 + 1/3 = 127/3 miles
4/3 hours
(127/3)/4/3)
(127/3)*(3/4)
= 127/4 or 31.75 miles/hour
It would have been nicer if we were told Graham's distance after 1 hour (when he had travelled 31.75 miles).
Please helppppp please
Answers
Answer:
its B
Step-by-step explanation:
I did this in class
