[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Write the equation of a line perpendicular to y=-12x+2 going
through (0, -1)
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
First, let's take a look at our provided information:-
A line [tex]\text{y=-12x+2}[/tex]A point (0, -1)The line [tex]\text{y=-12x+2}[/tex] is perpendicular to the line that goes through (0, -1)If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.
So we take the slope of the given line, which is -12, change its sign from minus to plus:-
[tex]\Large\textit{12}[/tex]
And now, We flip the number over:-
[tex]\Large\text{$\displaystyle\frac{1}{12}$}[/tex]
Now that we've found the slope of the line, let's find its equation.
The first step is to write it in point-slope form as follows:-
[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]
Replace letters with numbers,
[tex]\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}[/tex]
On simplification,
[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}[/tex]
On further simplification,
[tex]\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}[/tex]
Subtracting 1 on both sides,
[tex]\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}[/tex]
[tex]\Uparrow\texttt{Our equation in slope-intercept form}[/tex]
Good luck with your studies.#TogetherWeGoFar
[tex]\rule{300}{1}[/tex]
Solve the system of equations below: 4x + 6y = 32 3x - 6y = 3
Pls show work
Answer:X=5
Y=
Step-by-step explanation:make sure to add the the simultaneous equations together to take out y so you can work out x then from there work out Y by substituting X in anequation with a number
also here are some practice questions, ask me if you don't get them
Is this true or false
Answer:
False
Step-by-step explanation:
Range can be calculated by taking the difference of the lower limit and upper limit of the data
The Upper limit here is 8.5 (considering) and lower limit is 4
So,
R= 8.5-4
R=4.5
The given says it is 2.5 so it is false.
What is a name for the marked angle?
Answer: [tex]\angle BAD[/tex]
Reason:
The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.
We could name this angle as [tex]\angle BAD[/tex] or [tex]\angle DAB[/tex] to mean the same exact thing. All that matters is that "A" is in the middle.
Ignore point C, and ignore ray AC entirely.
Answer:
(b) ∠BAD
Step-by-step explanation:
An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.
Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...
∠BAD
It can also be called
∠DAB
How many WATTS are used in a 5 amp drill that uses 110 volts?
Calculating wattage is a quick process once you know the appliance's amperage and voltage — you simply multiply the two figures. An appliance that uses 110 volts of electricity and 5 amps uses 550 watts.
Hope this helps!
How do I do this? Please help
Answer:
720km
Step-by-step explanation:
12000 steps = 2 feet * 12000 = 24000 feet
= 24000 * 12 inches = 288000 inches = 288000 * 2.5 cm
= 720000cm = 720000 / 1000 = 720km
Please help me with my math please?
Answer:
m = -1/3
b = 0
y = -1/3x
Step-by-step explanation:
The y-intercept is 0, so b is just 0. The slope of the line is 1/3 but it is decreasing not increasing, so it is negative. Then using the slope formula:
y = mx + b
y = -1/3x
Slope:-
m=2+2/-3-3=4/-6=-2/3Equation in point slope form
y+2=-2/3(x-3)3y+6=-2x+63y=-2xy=-2/3xb=0
3. Juan makes $9.00 per hour and works 30 hours per week. If Juan has $70 deductions, what is his
Net income?
Answer:
$200
Step-by-step explanation: You take $9.00 and multiply it by 30 and then you take whatever that answer is and subtract 70 from it to get the net income
find the area use 22/7 for π
Answer:
~201
Step-by-step explanation:
Use the area formula: [tex]A=\pi r^2[/tex]
22/7 x 64 = 201.14
which rounds to 201
39. Find the probability of selecting a multiple of 2 or a
multiple of 7 from the integers 1-20.
The probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of outcome = 20
Total number of favourable outcome (multiple of 2 or a multiple of 7):
E = {2, 4, 6, 7, 8, 10, 12, 14, 16, 18, 20}
n(E) = 11
The probability = 11/20 = 0.55 or
= √0.3025
Thus, the probability of selecting a multiple of 2 or a multiple of 7 is 11/20 or 0.55 or √0.3025.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
Using the points ( 6.4, 117) and (6.6, 120), what is the slope of the trend line?
a. -15
b. -12
c. 12
d. 15
Answer:
d 15.
Step-by-step explanation:
Slope = (difference in y values)/ (corresponding difference in x values)
So we have:
Slope = (120-117) / (6.6-6.4)
= 3 / 0.2
= 30/2 = 15.
(URGENT) Maurice and Rhonda a are traveling in the same direction along the same road. Maurice is traveling at 55 mph and is exactly 15 miles ahead of Rhonda, who is traveling at 65 mph. How many hours will it take Rhonda to catch Maurice?
Answer:
Step-by-step explanation:
Givens
Maurice
55 miles an hour
15 miles ahead of Rhonda
d1
Rhonda
65 miles per hour
d2
The distance has to be the same for both in order to meet.
Formula
d1 = d2
d = r * t where r is the speed.
65*t = 55t + 15 Subtract 55t from both sides
Solution
65t - 55t = 55t - 55t + 15 Combine
10t = 15 Divide both sides by 10
10t/10 = 15t/10
t = 1.5 hours
Answer
They will meet in 1.5 hours.
Segment side a e is 7 inches and side a h is 7 startroot 3 endroot inches. what is the length of side e h? round to the nearest tenth. a cube. the top face has points a, b, d, c. the bottom face has points e, f, h, g. 7.0 inches 9.9 inches 12.1 inches 14.0 inches
The length of the side eh can be found using Pythagoras theorem. Therefore, EH = 9.9 inches
How to use Pythagoras theorem?Pythagoras theorem can be used to find eh.
Therefore,
c²= a² + b²
where
c = hypotenuse sidea and b are the other two legs.Therefore,
AE = 7 inches
AH = 7√3 inches
Therefore,
EH² = ( 7√3 )² - 7²
EH² = 147 - 49
EH = √98
EH = 9.89949493661
EH = 9.9 inches
learn more on Pythagoras theorem here: https://brainly.com/question/13990872
#SPJ4
Answer: ITS BBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
12
What is the slope of the line that passes through the points (2, 3) and (8, 6)?
Answer:
Here is the ans...hope it helps
question on absolute value
|x +1|+|x −2|=3
Solve for r. -4 + 2r-5r = 17 = [?] r =
Answer:
r = -7
Step-by-step explanation:
-4 + 2r - 5r = 17
=> 2r - 5r = 17 + 4
=> -3r = 21
=> r = 21/(-3)
=> r = -7
Point C is on line segment \overline{BD}
BD . Given CD=2CD=2 and BD=17,BD=17, determine the length \overline{BC}.
BC .
15
Step-by-step explanation:The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.
Setting Up the Equation
Using the postulate above we can set up an equation that is set equal to BD.
BC + CD = BDNow, rewrite this using the information we are given in the question.
BC + 2 = 17Solving For BC
Now, we can solve this equation using the properties of equality.
BC + 2 = 17To solve you need to isolate BC. Do this by subtracting 2 from both sides.
BC = 15This gives us the answer, 15.
The increase in a person’s body temperature t(t), above 98.6ºf, can be modeled by the function t (t) = startfraction 4 t over t squared 1 endfraction, where t represents time elapsed. what is the meaning of the horizontal asymptote for this function?
The person's body temperature will approach 98.6ºF as time lapses, The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.
What is horizontal asymptote?A horizontal asymptote is known to be that line that is horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.
Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person's body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.
See full question below
The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=(4t)/(t^2 +1), where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.
Learn more about temperature from
https://brainly.com/question/2368049
#SPJ4
hello is anyone free to help me?
Probality is given by the ratio of the number of the one type of product to the total number of the product .
so red apple have probality of ⁷/10 which means there are 7 red apple and total of 10 apple
so green apple = 10- 7 = 3 apples
a birthday cake is divided equally between 9 people what fraction of the cake does each person have?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
A birthday cake is divided equally between 9 people.
What fraction of the cake does each person have?
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]
[tex]\ast[/tex] Remember, a fraction looks like:-
[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]
Where:-
numerator -> number of parts takendenominator -> total parts
In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.
So we have a fraction as follows:-
[tex]\dfrac{?}{9}[/tex]
Now, each person gets 1 part. 1 becomes our numerator:-
[tex]\dfrac{1}{9}[/tex]
[tex]\uparrow\sf{Our\:Answer}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
How do you find the volume of a square pyramid?
Answer:
to find volume of square pyramid use this formula
Step-by-step explanation:
[tex]volume = \frac{1}{3} a {}^{2} h[/tex]
Coach Jamison wants to celebrate the final win of the school’s softball season with a trio to the local fast food place. The team buys 26 delicious burritos and 27 orders of savory chips for $86.90. A few of the players are still hungry so the coach buys 14 more burritos and 9 more orders of chips for $40.70. If you don’t include tax, what is the price of a burrito and the price of an order of chips?
The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?
A system of equations is a set or collection of equations that you deal with all together at once.
Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
The price of 26 delicious burritos and 27 orders of savory chips for $86.90
4 more burritos and 9 more orders of chips for $40.70
Let us consider the price of Burritos is x
and the price of savory chips is y
from the first statement we can form the equation
26*x +27*y = 86.9
and from the second statement we can form the equation
14*x + 9*y= 40.70
To determine the price of each we have to solve these system of equations.
On solving using elimination method
16x = 35.2
x = $2.2
and y = $1.1
Therefore the price of Burritos is $ 2.2 and the price of savory chips is $1.1.
To know more about System of Equations
https://brainly.com/question/12895249
#SPJ1
The price of Burritos is $ 2.2 and the price of savory chips is $1.1
What is system of equations ?A system of equations is a set or collection of equations that you deal with all together at once.
The price of 26 delicious burritos and 27 orders of savory chips = $86.90
The price of 14 more burritos and 9 more orders of chips = $40.70
Let us consider the price of Burritos is x
and, the price of savory chips is y
Now,
26x +27y = 86.9
and
14* + 9*= 40.70
On solving above two equation, we get
16x = 35.2
x = $2.2
and y = $1.1
Hence, price of Burritos is $ 2.2 and the price of savory chips is $1.1.
Learn more about System of Equations here:
brainly.com/question/12895249
#SPJ1
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Please Help!
The width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Volume of the box = l×w×h
150 = l×w×h
h = 2 in
l = 10+w
150 = (10+w)(w)(2)
150 = 2w(10+w)
After solving, we get:
w = 5 or w = -15
Width cannot be negative.
w = 5 in
Thus, the width of the box is 5 in if the volume of 150 in3. He measured the height of the box to be 2 inches, and the length was 10 inches more than the width.
Learn more about the cuboid here:
brainly.com/question/9740924
#SPJ1
Teenegers were asked how many times a week they were reminded to do chores. The responses are shown in the graph. What is the mean of the number of times per week that they were reminded?
Answer:
i could help but i don't see the graph chart
Step-by-step explanation:
Solve for x.
4^0.2x + 6 = 43, enter your answe with four decimal places.
Answer:
13.0236
Step-by-step explanation:
4^0.2x +6=43
(2^2)^0.2x +6=43
2^2*0.2x +6=43
| Jill was given $175 but her mother was given five times as
much. How much was her mother given?
Answer:
$875
Step-by-step explanation:
Jill was given $175 and her mother was given 5 times the amount.
Multiply 175 and 5.
Amount for mother = $175 x 5Amount for mother = $875Use the table below to answer this question:
x y
−1
7
3
3
5
1
Find the average rate of change for the given function from x = −1 to x = 5. (5 points)
−6
−1
1
6
Using it's concept, it is found that the average rate of change of the function from x = -1 to x = 5 is of -1.
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem, the output changes by -6(from 7 to 1) when the input changes by 6(from -1 to 5), hence the average rate is given by:
r = -6/6 = -1.
More can be learned about the average rate of change at https://brainly.com/question/24313700
#SPJ1
On Tuesday 1/3 of students were absent. Thursday 1/9 were absent. If 20 more students were absent on Tuesday than Thursday, how many students are there in the school?
Answer:
There are 90 students in this school.
Step-by-step explanation:
Answer:
90 students are in the class
Step-by-step explanation:
So basically, you need to make this ration fraction equation:
[tex]\frac{1}{3} \\\\[/tex] - [tex]\frac{1}{9} \\[/tex] = 20 .
you would come up with 2/9 is 20.
Times it by both sides and you will get 180=2x.
Note this x is added so you will get a variable and not get confused.
Then, your answer would become x=90.
please help with this!
Answer:
3/8
Step-by-step explanation:
1/8 + 1/4 = 1/8 + 2/8 = 3/8
Note that 1/4 = 1/4 * 2/2 = 1*2 / 4*2 = 2/8
In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
OB. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations
← PREVIOUS
SURMIT
Using the Empirical Rule, the correct statement regarding where 68% of the data falls within the mean is given by:
B. One standard deviation.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence option B is correct, as 68% of the data is within 1 standard deviation of the mean.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
#SPJ1
#10 AH IM STUCK ON THIS ITS HARD HELP
Answer:
4.8 in
Step-by-step explanation:
feet to inch conversion is *12
2 * 12 = 24
then divide the scale (for every 1 in on the model there is 5 in on the actual, so divide the actual value by 5)
24/5 = 4.8
your answer is 4.8 in
hope this helps:)