Is it possible for two lines with negative slopes to be perpendicular? Justify your answer.
Answers
Answer:
No
Step-by-step explanation:
The slopes of perpendicular lines must always be the negative reciprocal of each other. If one slope is negative, for the other to be perpendicular to it, it must be positive, and vise versa.
Answer:
No
Step-by-step explanation:
Interesting question. Subtle.
The formula for two lines to be perpendicular is m1 * m1 = -1 That means that two lines cannot be minus -- only 1 of them can be. The reason is that if both were minus when multiplied together would give a positive result -- not minus one. For example, suppose you have
y = x + 2
y = 2x + 3.
These 2 lines will cross and they are not parallel, but neither are they perpendicular. I'm not going to solve this to find out where they cross -- that's not what you are asking.
Now suppose you have two other lines
y = - 2x + 3
y = 1/2 x + 1
These two lines should be perpendicular
-2 * 1/2 = - 1 which is the condition of perpendicular.
Separate graphs have been uploaded to help you understand.
Related Questions
Which is the algebraic sequence of 1,4,7,10
Answers
The algebraic sequence of 1,4,7,10 is aₙ = 3n - 2
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
1,4,7,10
In the above sequence, we can see that 3 is added to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ + 3
Also, we have
a = 1 i.e. the first term
d = 3 i.e he common difference
When represented explicitly, we have
aₙ = a + (n - 1) * d
So, we have
aₙ = 1 + (n - 1) * 3
Evaluate the products
aₙ = 3n - 2
Hence, the explicit formula is aₙ = 3n - 2
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2(x+3)=x-4 what's the answer pls help
Answers
Answer:
x = - 10
Step-by-step explanation:
2x + 6 = x-4
2x - x = -4 - 6
x= -10
Answer:
The value of x = -10
Step-by-step explanation:
2(x+3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
1x = -10
x = [tex]\frac{-10}{1}[/tex]
Value of x equals to -10!
Find the value of w, then x. Round lengths of segments to the nearest tenth pls help
Answers
Answer:
option b is the correct answer
During snack time at preschool, the teacher divided 3/4 of a gallon of milk evenly among 6 students. How much milk did each student get?
Answers
Answer:
Each student received 16 fl oz of milk or 1 pint
Step-by-step explanation:
In a middle-school mentoring program, a number of the sixth graders are paired with a ninth-grade student as a buddy. No ninth grader is assigned more than one sixth-grade buddy. If 13 of all the ninth graders are paired with 25 of all the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy
Answers
Answer:
13/25
I hope this is the correct answer.
HELP PLEASE How many combinations are possible to select a student president, vice president, and treasurer among 23 students? Assume a student cannot hold more than one office.
Answers
Answer:
10,626
Step-by-step explanation:
Because being the student president is different from being the treasurer, the order in which students are selected for these roles matters. Therefore, a permutation is used to calculate the number of combinations that are possible, with nPr = n/(n-r) or evaluate it by doing 23c3.
HELP ME WITH THIS> WILL MARK BRAINLIEST
Answers
Answer:
I think x = 8
Step-by-step explanation:
How do you solve this
Answers
The measure of angle TQW from the given figure is 25°.
What are perpendicular lines?A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square between two perpendicular lines as shown in the figure. Here, the two lines intersect at a right angle, and hence, are said to be perpendicular to each other.
Given that, QT⊥PQR at Q, QW⊥QS at Q, and m∠SQP=25°.
From the given figure, m∠SQP+m∠SQT=90° -------(I)
m∠TQW+m∠SQT=90° -------(II)
Here, equation (I)=(II), we get
m∠SQP+m∠SQT=m∠TQW+m∠SQT
m∠SQP=m∠TQW
25°=m∠TQW
Therefore, the measure of angle TQW from the given figure is 25°.
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A stone was thrown into a pond from 8 feet above the surface of the water in the pond. Justin wrote 8 feet to represent the height from which the stone was thrown. What does 0 represent in this situation
Answers
The table provides information on road accidents reported to the police for the days in December.
Accidents reported l Frequency
3 - 7 l 17
8 - 12 l 1
13 - 18 l 1
19 - 25 l 12
Estimate the range.
Answers
The range of the accidents reported from the grouped frequency table is 22.
What is a range in a set of data?The range is the difference between the highest value and the lowest value of a given set of data.
We have,
The number of accidents reported from the grouped frequency table.
The largest number of accidents = (19 - 25)
The smallest number of accident = (3 - 7)
Now,
Range.
= 25 - 3
= 22
Thus,
The range of the reported accidents is 22.
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the ratio of a model car to a regular car is 1 :16 the model is 6.25 inches long what is the length of the actual car in feet and inches?
PLEASE HELP AND SHOW WORK!!!
Answers
What is the opposite reciprocal of 0/6
Answers
Answer: The reciprocal of a number is defined as 1 divided by that number. The opposite of a number is the number with the opposite sign. Therefore, the opposite reciprocal of a number is equal to the reciprocal of the opposite of that number.
In this case, the opposite reciprocal of 0/6 is the reciprocal of the opposite of 0/6. The opposite of 0/6 is 0/-6, which is equal to -0/6. The reciprocal of -0/6 is 1/(-0/6) = -6/0.
However, division by 0 is not defined, so it is not possible to find the reciprocal of -0/6. Therefore, the opposite reciprocal of 0/6 is undefined.
Step-by-step explanation:
Answer:
there is no reciprocal for 0/6
Step-by-step explanation:
Which pair of functions have the same domain?
A. f(x)= cos x and g(x)= tan x
B. g(x)= tan x and f(x)= sec x
C. f(x)= sin x and f(x)= sec x
D. g(x)= tan x and f(x)= cot x
Answers
What are the two types of measurements of angles?
Answers
The two types of units that are used for the angle measurements are (d) degrees and radians .
The two types of Units of Measurements are Radians and Degrees ,
The unit Degrees is used to measure the direction and angle size. If the object is facing north, then the object is said to be at 0°. If the object turn the opposite direction to face south, then the object turned 180°.
A full circle comprises of 360 degree .
The Radian is an S.I. unit of measuring the angles , one radian is defined as angle made at center of a circle by an arc whose length is equal to radius of circle.
The value of 1 radian is approximately equal to 57.296 degree .
The given question is incomplete , the complete question is
What are two types of angle measurements ?
(a) metrics and radians
(b) radians and metrics
(c) degrees and metrics
(d) degrees and radians
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Which graph matches the system of equations
2x+3y=5
4x−5y=−1
Responses
Answers
The graph of equation is in image.
What are linear equations?When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."
There are linear equations with one and two variables, respectively.
Given equations
2x + 3y = 5
4x - 5y = -1
For equation 1
2x + 3y = 5
The table of values appears as follows
x 1 -2 4
y 1 3 -1
Coordinates for equation 2
4x - 5y = -1
The table of values as thus
x 1 2 -4
y 1 1.8 -3
And the intersection point of equation is (1, 1)
Hence the graph of equation is intersecting at (1, 1).
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Divide Whole Numbers - Tutorial - Level U
The first section has 90 sheep sorted into 3 rows. How many sheep are
in each row of the first section?
Answers
Answer:
30 sheep
Step-by-step explanation:
The first section has 90 sheep sorted into 3 rows. How many sheep are
in each row of the first section?
From the above question:
3 rows = 90 sheep
1 row = x
Cross Multiply
3 rows × x = 1 row × 90 sheep
x = 1 row × 90 sheep/3 rows
x = 30 sheep
Therefore, there are 30 sheep in each row of the first section
Find an equation for the line that passes through the points (-5, 2) and (3, 4)
Answers
Step-by-step explanation:
1. Find the slope first using y2 - y1/ x2 - x1. This should look like 4 -2/ 3 - (-5), which can also be written as 4 - 2/ 3 + 5.
2. Simplify the fraction. This should look like 2/8, which can also be written as 1/4 once you divide it by 2.
3. Use the point-slope formula to find the y-intercept of the equation now. The formula is y2 - y1 = m (x2 - x1). Input either (-5, 2) or (3,4) into the equation. I'll use (3,4) as an example. After inputting that point, the equation would be y - 4 = 1/4 (x - 3).
4. Simplify this equation by distributing the 1/4 into the parentheses first. Once done, the equation will be y - 4 = 1/4x - 0.75.
5. Add 4 on both sides of the equation to get y by itself. After that the equation will be y = 1/4x + 3.25.
Samantha correctly solved the equation x2 -4x= 4 by completing the square. Which equation is part of her solution?
Answers
Answer:
±
2
√
2
+
2
Step-by-step explanation:
Help me please
in this worksheet
Answers
Answer:
the document doesnt open up for me
Step-by-step explanation:
A cylinder has a diameter of 8 inches and a volume of 128 cubic inches.What is the height of the cylinder?
Answers
You divide 128 ÷ 8
Drag each tile to the correct box.
Arrange the balls in order from greatest amount of gravitational potential energy to least.
A
B
C
A
0-
A
D
B
E
V
C
F
LL
>
D
LLIE
V
LL
F
V
Answers
Answer: Ball A, B, C, F, E, D
Step-by-step explanation:
An object has the greatest amount of Gravitational Potential Energy when it is furthest from the ground.
This means that Ball A has the most gravitational potential energy. This is followed by Ball B and Ball C. Then, Ball F is farthest from the ground, followed by Ball E. Ball D has the least gravitational potential energy.
So, the order is as follows: Ball A, B, C, F, E, D
A helicopter pad which is in the shape of a circle has a circumference of 62. 48 feet and a diameter of 24 feet. Which expression best represents the value of ?
Answers
The expression which represents the value of the area could be the six times the circumference of the circle.
What is area of circle ?
area of circle can be defined as the product of pi(3.14) and square of radius of the circle.
Given,
helicopter pad which is in the shape of a circle has a circumference 72.48
and the diameter of 24 feet.
radius = diameter/2
radius = 24/2
radius = 12
circumference of circle = 72.48
area of circle = π*r*r
area of circle = 22/7 * 12 * 12
area of circle = 452.5
area of circle is approximately 6 times the circumference of circle.
Hence , The expression which represents the value of the area could be the six times the circumference of the circle.
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How do you check if a function has an inverse function?
Answers
We can check if a function has an inverse function using horizontal Line Test.
What is Function?
A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connect
horizontal Line Test
Make f a function. Any horizontal line that crosses the f graph more than once indicates that f lacks an inverse. F does have an inverse if there are no horizontal lines that cross the graph of f more than once.
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which number is equivalent to (-14+6)-8÷4×4
Answers
Answer:
-16
Step-by-step explanation:
(-14+6)-8/4x4
-14+6=-8
-8-8/4x4
Following order of operations, we divide first, then multiply, then add/subtract.
-8-(8/4)x4
-8-2x4
-8-(2x4)
-8-8
-16
---
hope it helps
Answer: its -16
Step-by-step explanation:
Multiply.
(x - 2)(x + 3)
Answers
Answer:
espero y te ayude esto de aquí
Maria has a monthly cell phone plan that has a fixed
charge of $12 per month plus $0.10 per text message.
Maria wants to spend no more than $40 per month on
her cell phone. Write and solve an inequality that
represents the number of text messages, x, that Maria
can use in a month?
A) x 5 280
B) x 280
C) x < 2.8
Deluxe 2.2.18
Pos
Dace Slide
Students, draw anywhere on this slide!
Answers
Answer:
B
Step-by-step explanation:
We can subtract the fixed 12 of 40 to see how much she can spend on messages alone. So we are left with $28.
At 10 cents apiece for every dollar she can send 10. So we would get 280 messages.
I dont understand the options given, I think there are equation signs missing
So it would be B I assume since x=280
what is an equation of the line that passes through point (-6,-5) and is parallel to the line x + 5y=25
Answers
Answer:
y = -1/5x - 31/5
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is x + 5y = 25.
First, let's put this in standard form of y = mx + b.
x + 5y = 25
Subtract x from both sides.
5y = -x + 25
Divide each term by 5.
y = -1/5x + 5
This line's slope is -1/5. A line parallel to this one will also have a slope of -1/5.
Plug this value (-1/5) into your standard point-slope equation of y = mx + b.
y = -1/5x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-6, -5). Plug in the x and y values into the x and y of the standard equation.
-5 = -1/5(-6) + b
To find b, multiply the slope and the input of x (-6)
-5 = 6/5 + b
Now, subtract 6/5 from both sides to isolate b.
-5 - 6/5 = b
-25/5 - 6/5 = b
-31/5 = b
Plug this into your standard equation.
y = -1/5x - 31/5
This equation is parallel to your given equation (y = -1/5x + 5) and contains point (-6, -5)
Hope this helps!
Captain Kevin has a ship, the H. M. S. Khan. The ship is two furlongs from the dread pirate Ben and his merciless band of thieves. The Captain has probability \dfrac{3}{5} 5 3 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5} 5 1 . If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?
Answers
Probability that the Captain does NOT hit the pirate's ship × Probability that the pirate hits the Captain's ship = (2/5) × (1/5) = (2/25) = 0.08
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.
The probability that the pirate hits the Captain's ship, but the Captain misses
= 2/25) = 0.08
P(C) = (3/5) is the likelihood that the captain will strike the pirate ship.
P(C') = 1 - (3/5) = (2/5) is the probability that the captain will miss the pirate ship.
P(p) = (1/5) is the likelihood that the pirate will sink the captain's vessel.
P(p') = 1 - (1/5) = (4/5) is the probability that the pirate will miss the captain's ship.
The likelihood that the pirate will hit the captain's ship while the captain misses is increased if they both fire their cannons at the same moment.
P(C' n p) is he needed probability.
P(C' n p) = P(C') P since the two events are independent of one another (p) The likelihood that the pirate will sink the captain's vessel but that the capain will miss = (Chance that the Captain misses the pirate's ship) (Chance that the pirate hits the Captain's ship) = (2/5) × (1/5) = (2/25) = 0.08
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In an animal shelter, the ratio of cats to dogs is 6 to 9. How many CATS were in the shelter 1 point
if there were 36 dogs at the shelter? please help !!
Answers
Answer:
24 cats
Step-by-step explanation:
The ratio of cats to dogs is 6:9. There are 36 dogs in the shelter. Let's make the number of cats x.
6:9=x:36
You multiply 4 with 9 to get 36, so you do the same for 6.
6 x 4 = 24
24 cats in the shelter
The average mass of a giraffe is approximately 1x 10^8 kilograms. The average mass of a blue whale is approximately 2x 10^6 kilograms. About how many times more mass does a giraffe have than a blue whale?
Answers
Answer:
Giraffe = 1,000 kg
Whale = 2,000,000 kg
Step-by-step explanation:
Whale has 2,000 times the mass.
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