Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes.
Answers
Answer:
The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1
Proved: This product shows that the slopes are negative reciprocals
Question:
The complete question as seen on brainly ( question ID = 13270010):
Determine the missing information in the paragraph proof.
Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).
Prove: The slopes of perpendicular lines are negative reciprocals.
The slopes of lines PQ and P’Q’ can be determined using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction
The product of these slopes is ________. This product shows that the slopes are negative reciprocals. It is given that the lines are perpendicular and we have shown that the slopes of the lines are negative reciprocals.
Step-by-step explanation:
Line PQ contains the points (a, b) and (c, d)
Line P’Q’ contains the points (–b, a) and (–d, c)
The two lines are said to be perpendicular.
For two lines are said to be perpendicular, the product of the slope of the two lines must be equal to -1.
Let's determine if it's true for this two lines.
Find attached the the diagram and explanations.
The product of these slopes is [(d-b)/(c-a)] × [(c-a)/(-d+b)] = -1
This product shows that the slopes are negative reciprocals
Answer:5
Step-by-step explanation:
Related Questions
I need help urgently
Answers
The shorter base is equal to 6yd
The longer one is equal to 8yd
A panda weighed 8 pounds and gains 12 pounds every month. What is the vertical intercept (y-intercept) and what does it mean in the context of the situation?Immersive Reader
Answers
Answer:
y=8x+12
Step-by-step explanation:
All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +-6 percentage points
B. +-15 percentage points
C. +-9 percentage points
D.+- 112 percentage points
Answers
The study with an error range of +-6 percentage points would be the most reliable.
As larger error ranges, such as options B, C, and D, indicate a greater degree of uncertainty and variability in the dat This reduces the reliability and precision of the study's findings.
So, when all other factors are equal, a study with a smaller error range, like with +-6 percentage points, would be considered more reliable.
Thus, with an error range of +-6 percentage points, has the smallest range.
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is it a proportional relationship
Answers
Answer:
Yes
Step-by-step explanation:
Kelly bought a computer that was 20% off the regular price of $1,060. If a 7% sales tax was added to the cost of the computer, what was the total price Kelly paid for it?
Answers
Answer: $ 1361.04
Step-by-step explanation:
Discount will be 1060 * 20% = 212
Sales price 1060 + 212 = 1272
Tax 7% = 89.04
Kelly paid 1272 + 89.04 = 1361.04
There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 people use the gym and the pool. 29 people use the pool and the track. 25 people use the gym and the track. 11 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility
Answers
To find : Probability that person doesn't use any facility
Given : Total people = 130 ; People using gym (G), Swimming Pool (S), Track (T) = 73, 62, 58 respectively. People using G & P, P & T, G & T = 22, 29, 25. People using P & G & T = 11
So : Prob (G) = 73/ 130 , Prob (S) = 62/130 , Prob (T) = 58/130
P (G ∩ P) = 22 / 130 , P (P ∩ T) = 29 / 130 , P (G ∩ T) = 25 / 130 , P (P ∩ G ∩ T) = 11 / 130
Prob [ Person uses either P or G or T ] :
P (PUGUT) = P(G) + P (S) + P (T) - P (G ∩ P) - P (P ∩ T) - P (G ∩ T) - 2 P (P∩G∩T) = ( 73 + 62 + 58 - 22 - 29 - 25 - 22) / 130 = 95 / 130
Prob [Person uses neither P or G or T] : 1 - Pr [Person uses either P or G or T] = 1 - P (PUGUT) = 1 - (95 / 130) = 35 / 130
Hence, Probability that person doesn't use any facility = 35 / 130
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Answer:flying gorillla
Step-by-step explanation:because no
which equation has no solution
A l4x-2l=-6
B l-2-xl=9
Cl3x+6l=6
Dl-2x+8l=0
Answers
Answer:
l4x-2l= -6 equation has no solution
Step-by-step explanation:
l4x-2l≥0
l4x-2l= -6 equation has no solution
Isabella changes 700 euros to pounds sterling for her trip to England. The exchange rate is 1 euro = £0.72 How many pounds will she get?
Answers
Answer:
700/1=700
Th ratio is 700 times more so we multiply by 700
700 x 0.72 = 504
504 pounds
Hope this helps
Step-by-step explanation:
She will get 504 pounds by multiplying 700×0.72= 504.
What is the benefit of changing currency?Official currency substitution helps to promote fiscal and monetary discipline and thus greater macroeconomic stability and lower inflation rates, to lower real exchange rate volatility, and possibly to deepen the financial system.
Can you change the currency at the bank?
Many banks offer currency exchange to their customers. Though there may be a small fee, your bank or credit union will almost always be the best place to exchange currency (and the cheapest).
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Which expression is equivalent to a4⋅b2⋅a‐4⋅b4?
Answers
Answer:
[tex]b^6[/tex]
Step-by-step explanation:
a^4+-4 * b^2+4
a^0*b^6
Which of the following equations represents a proportional relationship?
A: y = 3x
B: y = 1/2x + 1
C: y = x/3 + 4
D: y = 2/5 - 5
Answers
Answer:
a
Step-by-step explanation:
y=3x
thus, a proportional relationship equation is y=kx .Where k is constant
Language is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading. a. true b. false
Answers
Answer: False, language is a more specific word.
Step-by-step explanation:
Language is a complex and structured system of communication.
This word particularly refers to the "artificial codes or ciphers" that humans use to communicate.
The thing in the sentence is more general than language, this refers to communication:
"Communication is a complex system that includes the ways we express ourselves, such as speaking or writing, and ways we receive information, such as listening and reading."
So the actual sentence is false.
) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent and electricity and one-twentieth of her salary on the telephone. She donated some amount to the Prime Minister's relief fund for the pandemic affected victims. She was left with ₹ 3000. If her monthly salary is ₹ 30,000: Find the amount she donated to the Prime Minister's Relief Fund
Answers
Answer:
₹ 4000
Step-by-step explanation:
Sarah's salary =₹ 30000
one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500donated some amount to the Prime Minister's relief fund = xShe was left with ₹ 3000.x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0). Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
Answers
Answer:
f of 5 equals negative 1
Step-by-step explanation:
equation- f(x) = -x + 4
f(5) = -5 + 4
f(5) = -1
Answer:
f(5)=-1
Step-by-step explanation:
Vicente has a prism- like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store and the store owner told him to make sure their density in the tank isn’t more than 4 fish per cubic meter. What is the lowest possible height so the fish aren’t too crowded
Answers
Answer: 1.25 m
Step-by-step explanation:
Area of base = 1.2 m²
Number of gold fish = 6
Density of the tank should be = 4 fish/m³
Height of the tank= ?
4 fish = 1 m³
6 fish = 6/4 = 1.5 m³
Volume required for 6 fish is 1.5 m³
V = area of base x height (h)
1.5 = 1.2 x h
h = 1.25 m
Hence, height of the tank is equal to 1.25 m.
Which rule represents the translation from the pre image, rhombus ABCD, to the image rhombus A'B'C'D' ?
Answers
Answer:
Square ABCD was translated using the rule (x, y) → (x - 4, y + 15) to form A'B'C'D'.
Which graph represents an exponential function?
Answers
Answer:
The 1st Picture
Step-by-step explanation:
An exponential function is a base with an exponent of x. The parent graph f(x) will always have an asymptote at x= 0 and curve steeply.
Answer:
A
Step-by-step explanation:
took it a minute ago on edg
Vertical angles are always adjacent.
True False
Answers
Answer:
False
Step-by-step explanation:
Vertical angles are opposite to each other, so they are not adjacent.
Please help! Correct answer only, please! I need to finish this assignment this week. What are the dimensions of the matrix shown below? A. 3 X 15 B. 5 X 3 C. 15 X 3 D. 3 X 5
Answers
Answer:
3 x 5
Step-by-step explanation:
The dimension of a matrix is normally represented in form of:
number of rows x number of columns
In the given matrix, there are 3 rows and 5 columns.
=> The dimension of this matrix is 3 x 5
=> Option D is correct
Hope this helps!
This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 4 portions. Recipe: Serves 5 250 g oats 1.2 l milk 90 g sugar
Answers
Answer:
200g oats
0.96l milk
72g sugar
Step-by-step explanation:
250/5 * 4 = 50 *4 = 200g oats
1.2/5 * 4 = 0.96l milk
90/5 * 4= 18*4 = 72g sugar
Which statement below is the correct definition for denoting similar objects?
A. Similar objects have congruent angles and congruent sides
B. Similar objects have proportional angles and congruent sides
C. Similar objects have congruent angles and proportional sides.
D. Similar objects have proportional angles and proportional sides
Answers
Answer:
C. Similar objects have congruent angles and proportional sides.
Step-by-step explanation:
I took the test.
The correct option regarding the statement will be C. Similar objects have congruent angles and proportional sides.
It should be noted that similar objects are identical. Therefore, similar objects have congruent angles and proportional sides.
It should be noted that they don't have objects have congruent angles and congruent sides.
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A bicycle wheel turns at 80 rpm. If the rider travels 27.227 m in 10 seconds, what is the radius of the wheels of the bicycle?
Answers
Answer:
2.042 meters
Step-by-step explanation:
We have that the angular speed is 80 rpm and we can calculate the linear speed, we know that the linear speed is equal to the radius times the angular speed, like this:
v = w * r
w = 80 rpm, but we must pass it to seconds, that is:
80/60 = 1,333 rps, that is, revolutions per second, to have the same time unit as the linear speed.
v = distance / time = 27,227 / 10 = 2.7227
therefore, the radius would be:
r = v / w = 2.7227 / 1,333
r = 2.042
Which means that the radius is 2.042 meters.
could someone please help with these two questions (I WILL MARK BRAINLAST)
question 1: which of these points lies on the line y = -x + 2
question 2: evaluate: -ab-a if a=-4 and b =-5
Answers
Answer:
1. b
2. -16
Step-by-step explanation:
1. -1+2 is equal to 1 so it works
You plug in each of the coordinates x and y variables on the graph and find one that satisfies the equation.
2. -(-4)(-5) is -20
-(-4) is = 4
-20+4 is -16
Can someone please explain the math on this one to me? Thanks!
Assume that is takes an average of 3 man-hours to stack 1 ton of a particular item. In order to stack 36 tons in 6 hours, the number of people required is _____
Answers
Answer:
18 men = 36 tons in 6 hours
Step-by-step explanation:
3 men = 1 ton in 1 hour
6 men = 2 ton in 1 hour
9 men = 3 tons in 1 hour
with this you find a pattern
3 men = 2 tons in 2 hours
3 men = 3 tons in 3 hours
3 men = 6 tons in 6 hours
6 men = 12 tons in 6 hours
9 men = 18 tons in 6 hours
12 men = 24 tons in 6 hours
15 men = 30 tons in 6 hours
18 men = 36 tons in 6 hours
(This is how i worked it out)
Answer:
18 people
Step-by-step explanation:
Method A:
3 man-hours to stack 1 ton
36 tons is 36 times 1 ton, so it takes 36 times as long to stack.
36 * 3 man-hours to stack 36 * 1 ton, or
108 man-hours to stack 36 tons
To do the job in 6 hours instead of 108, you need to do 108/6 = 18 times as much work per hour, so you need 18 times as many people.
18 * 1 person = 18 people
Answer: 18 people
Method B:
1 person works 3 hours and stacks 1 ton. That same person works another 3 hours and stacks another ton. In a total of 6 hours, 1 person stacked 2 tons. Since you need 36 tons stacked in the same 6 hours, and 36 = 18 * 2, you need 18 times the number of people, so you need 18 people.
On a road trip you see a sign "350 km to Indianapolis". About how many hours will it
take you to drive to Indianapolis if you are traveling at 68 mi/h (1 mile 1.61 km).
Round your answer to the nearest hundredth.
Answers
Answer: 3.20 hours
Step-by-step explanation:
Hi, to answer this question, first we have to convert the kilometers into miles:
Since: 1 mile = 1.61 km
For 350km:
350 /1.61 = 217.39 miles
Next, we have to apply the next formula:
Time = distance / speed rateReplacing with the values given:
Time = 217.39 mi / 68 mi/h = 3.20 hours
Feel free to ask for more if needed or if you did not understand something
What fraction is greater 6/8 or 3/2
Answers
Explanation: 3/2, or 1 1/2 is an improper fraction, while 6/8, or 3/4 is just a fraction.
So, 3/2 > 6/8
Answer:
3/2
Step-by-step explanation:
3/2 is greater than 1. 6/8 is less than one.
Multiply.
11 x 2 =
Submit
Is it 22
Answers
Answer:
yes
Step-by-step explanation:
Answer:
Yes...yes it is.
Step-by-step explanation:
Another way to help you see it is as adding 11 + 11, because the equation is stating that there are two 11's.
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys.
r + f ≥ 16
4r + 2f ≤ 40What is the maximum number of ride tickets she can buy?
Answers
Answer:
The maximum number of ride tickets is 4
Step-by-step explanation:
r = number of ride tickets
f = number of food tickets
r + f ≥ 16
4r + 2f ≤ 40
Using these as equations
f = 16 -r
Using this in the second equation
4r+ 2 (16 -r) = 40
4r +32 -2r = 40
2r +32 = 40
2r = 8
r = 4
The maximum number of ride tickets is 4
Answer:
a) 4
Step-by-step explanation:
edgen2020
Can someone plz help me solve this problem I need help plz someone help me!
Answers
Answer: 25 < P < 36
15/4 < w < 26/4
35/4 < L < 46/4
Step-by-step explanation:
Perimeter is BETWEEN 25 and 36
25 < P < 36
Graph: O--------------O
25 36
Perimeter = 2L + 2w ; substitute L = w + 5
25 < 2(w + 5) + 2w < 36
25 < 2w + 10 + 2w < 36
25 < 4w + 10 < 36
15 < 4w < 26
[tex]\dfrac{15}{4}[/tex] < w < [tex]\dfrac{26}{4}[/tex]
[tex]3\dfrac{3}{4}[/tex] < w < [tex]6\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]3\dfrac{3}{4}[/tex] [tex]6\dfrac{1}{2}[/tex]
Perimeter = 2L + 2w ; L = w + 5 --> w = L - 5
25 < 2L + 2(L - 5) < 36
25 < 2L + 2L - 10 < 36
25 < 4L - 10 < 36
35 < 4L < 46
[tex]\dfrac{35}{4}[/tex] < L < [tex]\dfrac{46}{4}[/tex]
[tex]8\dfrac{3}{4}[/tex] < L < [tex]11\dfrac{1}{2}[/tex]
Graph: O------------------------O
[tex]8\dfrac{3}{4}[/tex] [tex]11\dfrac{1}{2}[/tex]
Note: Make sure you use OPEN dots when graphing.
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answers
Answer:
a
Step-by-step explanation:
Identifying a proportion Which proportion resulted in the equation 3a = 7b
Answer:
B
Step-by-step explanation:
How much is (2.5-3 minutes)
Answers
Answer:
150 - 180 seconds
Step-by-step explanation:
Let change minutes to seconds
1 minute = 60 seconds
2.5 minutes * 60 =150 seconds
3 minutes * 60 = 180 seconds
150 - 180 seconds