Answers
Answer:
y = -2x + 4 or y = -2(x - 2)
Step-by-step explanation:
Equation of Line AB
y = mx + cm = slopec = y-interceptFinding slope (m)
m = -2 - 6 / 3 + 1m = -8/4m = -2Finding c using point slope equation
c - 6 = -2(0 + 1)c - 6 = -2c = 4Equation
Line AB : y = -2x + 4 or y = -2(x - 2)Answer:
The easiest way to do this is to put the line into slope intercept form. This is equal to y = mx + b, where m is the slope and y is the intercept. I'm assuming the point at which the line intercepts the y axis is at (0, 4) The graph isn't numbered, so its hard to tell.
Assuming b = 4, we need to find m
Slope = rise / run
Or
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]
Substitute -2 for y2, 6 for y1, 3 for x2 and -1 for x1
[tex]m = \frac{-2 - 6}{3 - -1}\\ m = \frac{-8}{4}\\m = -2[/tex]
Plug these values in and
[tex]y = -2x + 4[/tex]
When you graph this on desmos, the two points (-1, 6) and (3, -2) are on the graph. Therefore, I'm assuming the y intercept was in fact 4 :)
Related Questions
Triangle ABC is going to be dilated by a scale factor of 3.
If A is located at (-1,2), where will A' be located?
Answers
In triangle ABC, If A is located at (-1,2), A' will be located at (-3, 6)
To answer the question, we need to know what dilation is
What is dilation?Dilation is a form of transformation in which the size of an object is increased or decreased by a factor.
For any object with coordinates (x,y) dilated by a factor k, the new coordinates of the dilated object is (kx, ky).
Given that triangle ABC is going to be dilated by a scale factor of 3 and A is located at (-1, 2).
Since
(x, y) = (-1, 2) and k = 3, The coordinates of A'The new coordinates of A' = (kx, ky)
= (3 × -1, 3 × 2)
= (-3, 6)
So, A' will be located at (-3, 6)
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A 6-ounce jar of modeling clay costs $4.20. What is the unit price?
Answers
Answer:
$0.70 per ounce
Step-by-step explanation:
Concepts + Application
The unit price of an object, in this case, is the total amount of money spent divided by how many ounces there are. We're given the total amount of money as $4.20 and the number of ounces as 6. Thus, we just divide 4.20 by 6.
Solution
4.20 ÷ 60.70$0.70 per ounceComplete this statement:
10x^3a+6xa^2=2xa( )
Answers
Answer:
2xa(5x^2 + 3a).
Step-by-step explanation:
We are factorising:-
Divide the left side by 2xa and place the result in the parentheses:
10x^3a+6xa^2 = 2xa(5x^2 + 3a )
Answer:
2xa(5x² +3a-1)
Step-by-step explanation:
10x³a+ 6xa²-2xa=2xa-2xa
10x³a+ 6xa²-2xa=0
Factor 10x³a+ 6xa²-2xa:
2ax(5x² + 3a -1)
I need help with this assignment!
Answers
The area of the reflective material is: 284 square yards.
What is a rectangle?A rectangle is a quadrilateral with four sides and four right-angles.
it has two lines of symmetry.
Analysis:
To find the area of the reflecting material we find the area of the following shapes: trapezium + rectangle + triangle
bigger base of trapezium = 2 + 6 + 2 = 10 yard
smaller base of trapezium = 6
length of rectangle = 18 yard
width of rectangle : 2+6+2 = 10 yard
base of triangle is = 10 yard
Area of reflective material = 1/2(6+10) + 18x10 + 1/2(10)(8) = 284 square yards
In conclusion, the area of reflective material is : 284 square yards.
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The perimeter of a rectangle is 90 feet. The width is 15 feet. What is the perimeter?
Answers
=
15
feet
Breadth of the rectangle
=
30
feet.
Explanation:
Let the breadth of the rectangle
=
x
So, the length of the rectangle
=
2
×
x
The perimeter given
=
90
feet
As per the formula for perimeter of a rectangle
Perimeter
=
2
×
(length + breadth )
90
=
2
×
(
x
+
2
x
)
90
=
2
×
(
3
x
)
90
=
6
x
x
=
90
6
x
=
15
So the length of the rectangle
=
15
feet, breadth of the rectangle
=
30
feet.
A ball is dropped from a height of 600 feet. The function describing the height of the ball at t seconds after it dropped is [tex]f(t)=-16t^2+600[/tex].
a) Find the average velocity of the object during the first 3 seconds.
b) Verify that at some time during the first 3 seconds the instantaneous velocity equals the average velocity. Find that time.
The average velocity: _ ft/sec
The instantaneous velocity equals to the average velocity at t = _ sec
Answers
The average velocity of the object after during the first three seconds is: 48m/s
The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.
What is instantaneous and average velocities?Instantaneous velocity is the speed of an object at a particular point in time.
Average velocity is the velocity of an object after covering a certain distance for a period of time
Analysis:
Given
initial height = 600 feet
Height with respect to time = f(t) = -16[tex]t^{2}[/tex] + 600
a) Height at t = 0 = 600 feet
Height at t = 3 seconds = f(3) = -16[tex](3)^{2}[/tex] + 600 = 456 feet
Distance travelled = 600 - 456 = 144 feet
Average velocity = distance travelled/time taken = 144/3 = 48 feet/seconds
b) instantaneous velocity at time t = [tex]\frac{df(t)}{dt}[/tex] = [tex]\frac{d(-16t^{2} + 600) }{dt}[/tex] = -32t
when instantaneous velocity equal average velocity
-32t = -48
t = 1.5 seconds
In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.
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If 25% of the people in a small town are voters and there are 2360 voters, what is the population of the town?
Answers
Answer:
x=11800
Step-by-step explanation:
make a proportion:
2360/.2=X/1
2360(1)=.2x
x=11800
Mrs. Purdue needs to pick three random students in her class to be representatives on the student council. Explain how Mrs. Purdue could use slips of paper to generate a random sample.
Answers
Answer:
See below
Step-by-step explanation:
She could have each student in the class write his or her name on a slip of paper and put it in a bowl. Then, she could shake the bowl and pull out any slip of paper with a student's name on it. After 3 times, the random sample would be over, and Mrs. Purdue would have her 3 representatives.
round 1.36 to the nearest integer
Answers
Answer: Heyaa! ~
1.36 rounded to the nearest integer is 1!
Step-by-step explanation:
Note that the whole number place is one move to the left of the decimal point (if it exists). To round to the nearest whole number (or nearest integer), we use the tenths place to determine whether the whole numbers place rounds up or stays the same.
Step 1: Locate and underline the whole numbers place (1) then look at the digit to the right (3):
Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero) to get 1 as the answer.
In short: 1.36 rounded to the nearest whole number is 1.
Hopefully this helps you! ~
A grandson's age in months is equal to his grandfather's age in years. The difference
of the grandson's age in years and the grandfather's age in years is 77. Find the
grandson's age in years.
Answers
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore, the age of the grandson is 7 years.
How to use equations to find the age?
A grandson's age in months is equal to his grandfather's age in years.
Recall,
12 months = 1 year
Hence,
let
x = age of grandson in month
It is the same age in years for the grandfather.
Therefore,
x = age of grand father in years
The difference of the grandson's age in years and the grandfather's age in years is 77. Therefore,
x - x / 12 = 77
12x - x/12 = 77
11x / 12 = 77
cross multiply
11x = 924
x = 924 / 11
x = 84
Therefore, the grandson age in in years is 84 / 12 = 7 years.
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What type of sampling is described in this study?
A company that sells hair-care products wants to
determine if a product that combines shampoo and
conditioner works better than a shampoo and
conditioner used separately. A researcher recruits 60
volunteers and pairs them according to age, hair color,
and hair type. For each pair, the researcher flips a coin
to determine which volunteers will use the
shampoo/conditioner combination and which ones will
use the separate shampoo and conditioner. After using
the products for one month, the subjects are asked to
rate their satisfaction with the hair products on a scale
of 1-10 (1 = highly dissatisfied and 10 = highly
satisfied). What type of sampling is described in this study?
one sample
paired data
two samples
more than two samples
Answers
The sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
What is a paired data test?A paired data test or sampling is used when the researcher is interested in the difference between two variables for the same subject.
For instance, in this experiment, the researcher wants to find the satisfaction level of the volunteers who used the shampoo and conditioner separately or combined.
Thus, the sampling type in this study, where a researcher recruits 60 paired volunteers and asks them to rate their satisfaction after product use, is B. paired data.
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A straight angle equals 180 degrees is true or false?
Answers
Answer:
True
Step-by-step explanation:
Straight angles are straight lines which equal 180 degrees
Answer:
true it is equals 180 for that angle
HELP ASAP
Given the graph below, solve for the equation of the circle. Show your work and explain the steps you used to solve.
Answers
Answer:
(x + 3)^2 + (y - 3)^2 = 5^2
Step-by-step explanation:
They're not really much to show work. Looking at the graph we need to find the origin which is (h ,k), and the radius.
(h , k) = (-3 , 3)
The radius is r = 5 because counting it from origin to the edge.
Plug that into the formula equation: (x - h)^2 + (y - k)^2 = r^2
(x - (-3))^2 + (y - 3)^2 = 5^2
(x + 3)^2 + (y - 3)^2 = 5^2
three times a number increased by 2 is greater than zero or less than or equal to negative three
Answers
Step-by-step explanation:
Let the number be X
3×X=3X
Increased by 2
3X+2>0≤-3
Find x if f(x) = 2x² - 14 and f(x) =114.
Answers
Pls help Martin says that 13+16=29
1
3
+
1
6
=
2
9
.
Use the drop-down menus to explain why Martin is incorrect.
Answers
Answer:
[tex] \frac{2}{9} \: is \: less \: than \: \frac{1}{3} [/tex]
and
[tex] \frac{1}{3} + \frac{1}{6} \: must \: be \: more \: than \: \frac{1}{3} [/tex]
Help on this math a s a p if possible
Answers
Answer:
Mean - 17.222222222222
Median - 17
Mode - 12
Step-by-step explanation:
lets arrange this is least to greatest.
2, 4, 12, 12, 17, 18, 28, 29, 33
to find the mean(even though you dont need it), you add all the numbers up and devide by the amount of numbers.
so -> 2 + 4 + 12 + 12 + 17 + 18 + 28 + 29 + 33 = 155
and there are 9 numbers, so 155 / 9 = 17.2 and a lot more 2s
to find the median, you arrange from least to greatest vice versa, then find the middle number.
2, 4, 12, 12, 17, 18, 28, 29, 33
the middle number is 17, so the mean is 17
to find the mode, you have to find the number that is most repeated.
2, 4, 12, 12, 17, 18, 28, 29, 33
the number that is repeated the most is 12, so your mode is 12.
Hope this helped!!!
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(8, 2)
-10
(0, 0)
10
Answers
Explanation:
The equation of line is y = ( 1/4 )x , with slope m = 1/4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 0 )
Let the second point be Q ( 8 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 0 ) / ( 8 - 0 )
Slope m = 2/8 = 1/4
Now , the equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - 0 = ( 1/4 ) ( x - 0 )
y = ( 1/4 )x
Hence , the equation of line is y = ( 1/4 )x
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− 96 , 48 , − 24 , 12 , − 6 . what is the ratio of the geometric sequece
Answers
Answer:
-1/2
Step-by-step explanation:
it has to be a negative number since
every other number is negative
its a fraction since the numbers are decreasing
96 divided by 48 is 2
so the number being multiplied or ration must be -1/2
math hw 2
The Binomial Distribution
pls help me with my homework!!
thanks,
Answers
Using the binomial distribution, we have that:
a) The distribution is given by:
P(X = 0) = 0.0625.P(X = 1) = 0.25.P(X = 2) = 0.375.P(X = 3) = 0.25.P(X = 4) = 0.0625.b) 0.3125 = 31.25%.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
There are 4 children, hence n = 4.Each children has a 50% chance of being female, hence p = 0.5.The distribution is given by the probability of each outcome, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]
[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]
[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]
[tex]P(X = 3) = C_{4,3}.(0.5)^{3}.(0.5)^{1} = 0.25[/tex]
[tex]P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625[/tex]
The probability of at least 3 daughters is given by:
[tex]P(X \geq 3) = P(X = 3) + P(X = 4) = 0.25 + 0.0625 = 0.3125[/tex].
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Anyone please help meಥ‿ಥ
Answers
Answer:
Mean: The sum of all data values divided by the total number of data values.
Median: The middle value when all data values are placed in order of size. If there is an even number of data values, the median is the mean of the middle two values.
Mode: The most frequently occurring data value.
-------------------------------------------------------------------------------------------------
Question 3
[tex]\textsf{Mean}=\dfrac{69 + 70 + 71 + 73 + 74 + 75 + 76 + 76 + 76 + 86}{10}=74.6[/tex]
Ordered data values: 69, 70, 71, 73, 74, 75, 76, 76, 76, 86
Median = (74 + 75) / 2 = 74.5
Mode = 76
-------------------------------------------------------------------------------------------------
Question 4
[tex]\textsf{Mean}=\dfrac{3 + 5 + 5 + 5 + 6 + 6 + 7 + 8 + 8}{9}=5.9\: \sf (nearest \:tenth)[/tex]
Ordered data values: 3, 5, 5, 5, 6, 6, 7, 8, 8
Median = 6
Mode = 5
-------------------------------------------------------------------------------------------------
Question 5
[tex]\begin{aligned}\textsf{Mean} & =\dfrac{11 + 12 + 12 + 13 + 13 + 14 + 14 + 15 + 16 + 16 + 17 + 18 + 19 + 20 + 23}{15}\\ & =15.5 \: \sf (nearest\:tenth)\end{aligned}[/tex]
Ordered data values: 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 20, 23
Median = 15
Mode = 12, 13, 14, 16
Answer:
see explanation
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
the median is the middle value of a set of data. If there is no exact middle value then it is the average of the values on either side of the middle.
the mode is the value that occurs most often in the data set
A data set can have more than 1 mode
------------------------------------------------------------------------
(3)
(a)
mean = [tex]\frac{74+73+75+76+71+69+70+76+76+86}{10}[/tex] = [tex]\frac{746}{10}[/tex] = 74.6
(b)
Arrange the data in ascending order
69 70 71 73 74 75 76 76 76 86
↑ middle
median = (74 + 75) ÷ 2 = 149 ÷ 2 = 74.5
(c)
mode = 76
(4)
(a)
mean = [tex]\frac{6+8+8+5+6+7+5+3+5}{9}[/tex] = [tex]\frac{53}{9}[/tex] ≈ 5.9 ( to 1 dec. place )
(b)
3 5 5 5 6 6 7 8 8
↑ middle
median = 6
(c)
mode = 5
(5)
(a)
mean = [tex]\frac{12+13+18+23+14+17+14+16+13+16+15+19+11+20+12}{15}[/tex] = [tex]\frac{233}{15}[/tex] ≈ 15.5 ( to 1 dp )
(b)
11 12 12 13 13 14 14 15 16 16 17 18 19 20 23
↑ middle
median = 15
(c)
the mode is multimodal
modes are 12, 13, 14, 16
what would be 3/4 of 960.
Answers
Answer:
720
Step-by-step explanation:
Three-fourths of 960 are simply three fourths times 960, which can be written as follows:
Three/fourths x 960
Furthermore, you can convert "three" to "3" and "fourths" to "4" and then the equation and answer are:
3/4 x 960 = 720
Which expression are equivalent to the one below? 4^3 * 4^x
Answers
Step-by-step explanation:
[tex] = {4}^{3} \times {4}^{x} [/tex]
[tex] = {4}^{3 + x} [/tex]
[tex] = {4}^{x + 3} [/tex]
Gordon was thinking of a number. Gordon doubles it, then adds 20 to get an answer of 66.3. What was the original number?
Answers
Answer:
23.5
Step-by-step explanation:
let's take the number as X
2X+20=66.3
2X=66.3-20
X=23.15
23.15
23.15 X 2 = 46.3
46.3 + 20 = 66.3
item 3 lamar gives his dog a pill once each day. each pill contains 3.6 milligrams of medicine. how many grams of medicine does lamar's dog get after one week? item 3 lamar gives his dog a pill once each day. each pill contains 3.6 milligrams of medicine. how many grams of medicine does lamar's dog get after one week?
Answers
Multiplication is the process of multiplying. The amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given a medicine provides 3.6 milligrams of medicine. Therefore, the amount of medicine the dog will have in a week is,
The amount of medicine = 3.6milligrams × 7 = 25.2 milligrams
Hence, the amount of medicine that Lamar's dog will have in one week is 25.2 milligrams.
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i need help with this question
Answers
The mean number wins of a team is 37 wins that is normally distributed. The standard deviation is 3 wins. What would be the sections that are one standard deviation from the mean? Select all that apply.
31
34
37
40
43
Answers
Using the normal distribution, it is found that the sections that are one standard deviation from the mean are 34 and 40.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 37, \sigma = 3[/tex]
The measures that are one standard deviation from the mean are given by X when Z = -1 and Z = 1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1 = \frac{X - 37}{3}[/tex]
X - 37 = -3
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1 = \frac{X - 37}{3}[/tex]
X - 37 = 3
X = 40
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Find the missing term
(m-n)^2=m^2-_____+n^2
Answers
Answer:
2mn
Step-by-step explanation:
The expanded form of the square can be found using the distributive property.
__
(m -n)² = (m -n)(m -n) = m(m -n) -n(m -n) . . . use the distributive property
= m² -mn -nm +n² . . . . use it again
= m² -2mn +n² . . . . . . combine like terms
The missing term is 2mn.
Angle Side Relationship 1/5
Will mark brainlist to whoever answers first
Answers
Answer:
m<A > m<B > m<C
Step-by-step explanation:
In triangles, the measure of angles is proportional with the side length's they see,
The angle with the biggest the biggest measure sees the biggest side length
in triangle ABC the side lengths are given as
BC = 14, CA = 13 and AB = 5
from this, we can conclude:
m<A > m<B > m<C
please help show work
Answers
Answer:
236854Step-by-step explanation:
Relation between sugar and flour
18 teaspoons of sugar per 3 cups of flourRate : 18/3 = 6 teaspoons of sugar per cup of flourTable
[tex]\left[\begin{array}{ccc}sugar(tsp)&flour(cups)\\12&2\\18&3\\36&6\\48&8\\54&9\end{array}\right][/tex]
Answer:
Step-by-step explanation:
Remark
The key to this question is the second entry. Numerically the sugar is divided by 6 to get the flour. Never mind the units. Just deal with the ratio itself.
Formula
Flour = Sugar / 6
Solution
Sugar = 12
Flour = 12/6 = 2
Flour = 18/6
Flour = 3
Flour = 6
6 = sugar/6 multiply by 6
6*6 = 6* sugar/6
36 = sugar
Sugar = 48
Flour = 48/6 = 8 cups of flower
Flour = 9
9 = sugar / 6
9*6 = sugar
Sugar = 54.
