Rewrite each equation in slope-intercept form, if necessary. Then determine whether the lines are perpendicular. x = 9 y = -1 Are the lines perpendicular?
Answers
Answer:
\(x = 9\) and \(y = -1\) are perpendicular to each other.
Step-by-step explanation:
From Analytical Geometry we know that horizontal lines are of the form:
\(y = a\), \(\forall \,a\in\mathbb{R}\) (Eq. 1)
Where:
\(y\) - Dependent variable, dimensionless.
Which means that for all value of \(x\) (independent variable) has \(a\) as their image. If we write this equation in slope-intercept form, we get that:
\(y = 0\cdot x + a\) (Eq. 1b)
Where slope is the ratio of the change in dependent variable to the change in independent variable.
Whereas vertical lines have the following one:
\(x = b\), \(\forall \,b\in\mathbb{R}\) (Eq. 2)
Where:
\(x\) - Independent variable, dimensionless.
Which means that for all value of \(y\) (dependent variable) has \(b\) as their image.
If we write this equation in slope-intercept form, we get that:
\(x = 0\cdot y + a\) (Eq. 2b)
Where slope is the ratio of the change in independent variable to the change in independent variable.
In addition, we must remember that two lines perpendicular to each other observe the following relation:
\(m_{A} = -\frac{1}{m_{B}}\) (Eq. 3)
Where \(m_{A}\) and \(m_{B}\) are the slopes of each line. It is quite evident that if \(m_{A} = 0\), corresponding to a horizontal line, then \(m_{B}\) becomes undefined, corresponding to a vertical line.
In consequence, we come to the conclusion that \(x = 9\) and \(y = -1\) are perpendicular to each other.
Related Questions
The price of apples is 3 for $2.00.
1. how much do you pay for 30 apples?
2. how many apples can you buy for 10?
Ratios
Answers
Answer:
1) $15 2) 10 apples
Step-by-step explanation:
First off you would do 30 divided by 2.00 which is 15.
Then for 2 the answer is 5 because if you 10 divided by 2 which gives you five
Your welcome! :))
The map of a biking trail is drawn on a coordinate grid. The trail starts at P(−6, 3) and goes to Q(3, 3). It goes from Q to R(3, −4) and then to S(6, −4). What is the total length (in units) of the biking trail?
Answers
Answer:
total length = 19 units
Step-by-step explanation:
Notice that the distance between the extremes of the first segment of the trail, is a horizontal segment of 9 units length.
The second segment from (3,3) to (3, -4) is vertical one of length 3 - -4 = 7 units.
The third segment of the trail from (3, -4) to (6, -4) is another vertical segment of length 6=3 = 3 units.
Therefore,the total length of the trail is 9 + 7 + 3 = 19 units
Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
Answers
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is between $45 and $75.
What will be the cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100?A 25% off coupon is a discount price.
The cost of the meal if a family has a 25% off coupon for a family of four between $60 and $100 is calculated as follows:
For a $60 meal:
Cost of meal = $60 - 25% * $60
Cost of meal = $60 - $15
Cost of meal = $45
For a $100 meal:
Cost of meal = $100 - 25% * $100
Cost of meal = $100 - $25
Cost of meal = $75
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Complete question:
Predict the cost of a meal for a family of four between $60 and $100. Be sure to include dollars and cents.
Part A: If the family has a 25% off coupon, calculate the new price of the meal. Show all work or explain your steps. (6 points)
What is the slope of the line that cuts through the points (1, 2) and (5, 4)? a. 2 c. One-half b. -2 d. Negative one-half Please select the best answer from the choices provided A B C D
Answers
The slope of the line is 1/2 or one-half if the line that cuts through the points (1, 2) and (5, 4) option (c) One-half is correct.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
We have a line that cuts through the points (1, 2) and (5, 4).
The slope of a line:
\(\rm m =\dfrac{4-2}{5-1}\)
m = 2/4
m = 1/2
Thus, the slope of the line is 1/2 or one-half if the line that cuts through the points (1, 2) and (5, 4).
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I need help asap! Pleasee I need help
Answers
Answer:
Its B
Step-by-step explanation: i know this because i just took that test yesterday and got it right
Find the distance covered by a car travelling at 65 65-kmh-1 for 7 hours.
Answers
Answer:
1105km
Step-by-step explanation:
d=s×t
=65kmh^-1×7
=1105km
HELP PLEASEEEEEEE WILL MARK YOU AS BRAINLEIST
Answers
Answer:
-1, -1
Step-by-step explanation:
when you turn it it will change the coordinates as well
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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For a company picnic, Todd fills 30 paper cups with ketchup and Yuki fills 27 paper cups with ketchup. Each paper cup holds 1 ounce. Later, Todd and Yuki learn that two other company employees completed exactly the same task.
How many ounces of ketchup did the four employees prepare?
Answers
Answer:
114 ounces
Step-by-step explanation:
30+27=57
then multiply by 2 to get 114
The access code for a car's security system consists of digits. The first digit cannot be and the last digit must be . How many different codes are available?
Answers
Complete Question
The access code for a car's security system consists of 6 digits, the first digit cannot be 8 and the last digit must be odd, how many different codes are available
Answer:
There are 450000 possible different codes
Step-by-step explanation:
Given
Code = 6 digits
First = All but 8
Last = Odd
Required
Determine the possible number of codes
Analyzing each individual digit that makes up the code.
First: can be any of 0,1,2,3,4,5,6,7,9 ----- 9 possible numbers
Second, Third, Fourth and Fifth can be any of 0,1,2,3,4,5,6,7,8,9 since there's no restriction ----- 10 possible numbers
Last can be any of: 1,3,5,7,9 ----- 5 possible numbers
So, the number of possible selections is:
\(Selection = 9 * 10 * 10 * 10 * 10 *5\)
\(Selection = 450000\)
Hence, there are 450000 possible different codes
what is the answer to and how to solve7(11c+3)
Answers
Answer:
I got 77c+21
Step-by-step explanation:
Answer:
77c + 21
Step-by-step explanation:
7(11c + 3)
= 7*11c + 7*3
= 77c + 21
wat is 24,12,6 to the 8th term. Round it to the nearest 1000
Answers
We can see that 24 divided by 2 is 12. Similarly, 12/2 is 6 and so on. Then, the sequence rule can be written as
\(a_n=24(\frac{1}{2})^{n-1}_{}\)For instance,
\(\begin{gathered} a_1=24(\frac{1}{2})^{1-1}=24(\frac{1}{2})^0=24\times1=24 \\ a_2=24(\frac{1}{2})^{2-1}=24(\frac{1}{2})=12 \\ a_3=24(\frac{1}{2})^{3-1}=24(\frac{1}{4})=6 \end{gathered}\)Then, by substituting n=8 (8th term) into the first equation, we have
\(a_8=24(\frac{1}{2})^{8-1}=24(\frac{1}{2})^7=24\times\frac{1}{128}=0.1875\)therefore, by rounding to the nearest thousandth, the answer is 0.188.
A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||= pounds ||→vx||= pounds
What is the total force (in pounds) exerted on each wire?
||→u||= pounds ||→v||= pounds
Answers
Answer:
mind fact sub happy wala birthday quiz frist
Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one of three treatments: watching 20 minutes of a Hollywood action movie (The Island), watching the same 20-minute excerpt of the movie with no sound, and watching 20 minutes of an interview program. While watching, participants were given snacks (M&M’S®, cookies, carrots, and grapes) and allowed to eat as much as they wanted. Subjects who watched the highly stimulating excerpt from The Island ate 65% more calories than subjects who watched the interview show. Participants who watched the silent version of The Island ate 46% more calories than those who watched the interview show.36 Identify the explanatory and response variables in this study. Then determine if it is an experiment or an observational study. Explain your reasoning.
Answers
Answer:
The explanatory variable is the type of program the people watched. The response variable is the number of calories consumed. This was an experiment.
If m∠J = 44°, what is m∠I?
Answers
Answer:
6666
Step-by-step explanation:
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
Answers
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
O.5% as a fraction and decimal
Answers
Answer: As a fraction: 1/2
As a decimal: 0.005
Step-by-step explanation:
FRACTION:
To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.
DECIMAL:
0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.
In basketball, " one on one" free throw shooting ( commonly called foul shooting) is done as follows: if the player makes the first shot(1point), she is given a second shot. If she misses the first shot, she is not given a second shot. Christine, a basketball player, has a 70% free throw record. (she makes 70% of her free throws). Find the probability that, given one-on-one free throw shooting opportunity, Christene will score one point.
Answers
If she will be able to shoot the first shot and miss the second shot, then she will obtain 1 point.
Thus, the probability that Christine will get the first shot is as follows:
\(P(1pt)=(0.7)(0.3)=0.21\)where the first factor is the probability that she will shoot the first shot and the second factor is the probability that she missed the second shot. Thus, the probability of obtaining 1 point is 21% or 0.21.
TIVITY MODULE
The length of a rectangle is eight centimeter less than
twice the width. The area of the rectangle is 24
centimeters squared. Determine the dimensions of the
rectangle in centimeters.
Answers
Answer: Length: 4, width: 6
Step-by-step explanation:
Let the length be x and width be y
Then x=2y-8 and xy=24
Substitute to get 2y-8 * y = 24, so 2y^2-8y=24 or y^2-4y=12, then solve to get y=6 or y=-2. Since width is positive y=6.
Substitute y=6 into xy=24 to get x=4.
Length: 4, width: 6
Hope that helped,
-sirswagger21
Help i don’t know if my answers are correct and I need the other ones I didn’t answer to be answered to please help I need the correct answer for 1-8 I need to bring my grade up
Answers
1) correct
2) correct
3) Not Congruent
4) Not Congruent
5) correct
6) Not Congruent
7) incorrect
8) SAS
Explanation:
7 is incorrect because the angle isn’t included in the sides
Hope this helps!
A phone receives signals from a transmitter that is 13km west and 21km south of it. what is the bearing from the phone to the transmitter? give your answer to the nearest degree
Answers
The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.
To determine the bearing from the phone to the transmitter, we can use trigonometry.
The bearing is typically measured clockwise from the north direction.
Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.
The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.
Using the tangent function, we can calculate the angle:
tangent(angle) = (opposite side) / (adjacent side)
tangent(angle) = 21 km / 13 km
Taking the inverse tangent (arctan) of both sides, we find:
angle = arctan(21 km / 13 km)
Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.
However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:
bearing = 90 degrees - 58.57 degrees
Calculating this, we find the bearing to be approximately 31.43 degrees.
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Values of the Born exponents for Rb+ and l-are 10 and 12, respectively. The Born exponent for Rbl is therefore: O A. 2 O B.22 C. 1/11 OD. 11
Answers
The Born exponent or interatomic potential energy for Rbl is 11 ( approximately). The correct option is D).
The Born exponent for RbI can be calculated using the relationship between the Born exponent and the interionic distance. The Born exponent is defined as the ratio of the repulsive to attractive contributions to the interatomic potential energy, and it depends on the charges and sizes of the ions.
For Rb+ and I-, the Born exponents are 10 and 12, respectively. This means that the repulsive interaction between Rb+ and I- is weaker than the attractive interaction, as the repulsion is proportional to Rb+^10 and the attraction is proportional to I^-12. Therefore, the attractive interaction dominates.
For RbI, we can use the relationship between the Born exponent and the interionic distance to calculate the Born exponent. This relationship is given by:
B = (1/d) * ln[(l1 + l2)/|l1 - l2|]
where B is the Born exponent, d is the interionic distance, and l1 and l2 are the ionic radii of the cation and anion, respectively.
Assuming the ionic radii of Rb+ and I- are additive, we have:
l1 + l2 = l(RbI) = l(Rb+) + l(I-) = 1.52 + 1.81 = 3.33 Å
|l1 - l2| = |l(Rb+) - l(I-)| = |1.52 - 1.81| = 0.29 Å
Substituting these values into the equation for B, we get:
B = (1/d) * ln[(l1 + l2)/|l1 - l2|] = (1/d) * ln[3.33/0.29] ≈ 11.02
Therefore, the Born exponent for RbI is approximately 11.02.
The correct answer is D).
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I’ll give brainliest
Answers
Answer:
A=115.6
Step-by-step explanation:
Hey There!
So the first step is to find the formula for area of a trapezoid
\(A = \frac{1}{2} h(b1 +b2)\)
h = height
b1 = base 1
b2 = base 2
now all we do its plug in the values
\(A=\frac{1}{2} 6.8(28.3+5.7)\)
\(6.8x26.3=192.44\\5.7x6.8=38.76\\38.76+192.44=231.2\\\frac{231.2}{2} =115.6\\A=115.6\)
Hope this helps!!
Mast
Gabi tried to solve an equation step by step.
Skill
= 80
10
algeb
1
j
· 10 = 80 · 10 Step 1
10
ne-
j = 800
Step 2
Find Gabi's mistake.
ne-
Choose 1 answer:
cual
Answers
Answer:
the answer is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Order the following rational numbers from greatest to least
-1/3
0
-1/5
1/8
PlZz HELP ILL GIVE BRAINLIEST
Answers
1/8
0
-1/3
-1/5
For the negative numbers, the closer they are to 0 on the number line, they greater they are. For positive numbers, the farther they are from 0 the greater they are.
If it's wrong, I'm sorry.
Order is greatest to least
Positive numbers are greater than negatives
Zero is greater than negatives
With negatives the number following the negative sign is kind of reversed. The greater the number behind the sign the smaller it is.
evaluate the following question 109*104
Answers
Answer: Exact Form:
109^104
Decimal Form:
7.8046923 x 10^211
Step-by-step explanation:
Answer:
11336
Step-by-step explanation:
109*104= 11336
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What is the total area of the figure shown?
8.3 cm
9.5 cm
14.4 cm
12.3 cm
Answers
Answer:
44.5
Step-by-step explanation:
you add up all of the numbers.
HELP 2 math questions 20 points
Answers
Answer:
4th option is the answer for first question.
4th option is the answee for second question.
Step-by-step explanation:
please mark me as a brainlist..
Find the constant of proportionality
Answers
Answer:
k=1/5
Step-by-step explanation:
y=kx so
1=1/5(5) yes
3=1/5(15)yes
5=1/5(25)yes
7=1/5(35)yes