Answer:
The equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
Step-by-step explanation:
We need to find equation of line in point slope form that passes through points (5,0) and (-6, -1).
The general equation of point slope form is: [tex]\mathbf{y-y_1=m(x-x_1)}[/tex]
where m is the slope of line.
We need to know Slope m
Finding Slope m
Finding Slope m using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have [tex]x_1=5, y_1=0, x_2=-6 \ and \ y_2=-1[/tex]
Putting values and finding slope
[tex]Slope=\frac{-1-0}{-6-(5)}\\Slope=\frac{-1}{-6-5}\\Slope=\frac{-1}{-11}\\Slope=\frac{1}{11}[/tex]
So , slope m is: [tex]\mathbf{m=\frac{1}{11}}[/tex]
Using point (5,0) and slope m =1/22 the equation of point-slope form is:
[tex]y-y_1=m(x-x_1)\\y-0=\frac{1}{11} (x-5)\\y=\frac{1}{11}x-\frac{5}{11}[/tex]
So, the equation in point-slope form is: [tex]\mathbf{y=\frac{1}{11}x-\frac{5}{11} }[/tex]
Helppppppppppp plssssss
Answer:
Step-by-step explanation:
I'd be glad to try and help. What's the question?
Answer:
Step-by-step explanation:
what is your question?
Solve the following inequality using the algebraic approach:
5 x minus 1 less-than 2 x + 11
a.
x less-than StartFraction 12 Over 7 EndFraction
b.
x less-than StartFraction 10 Over 3 EndFraction
c.
x less-than StartFraction 10 Over 7 EndFraction
d.
x less-than 4
Answer:
b. x less-than StartFraction 10 Over 3 End fraction
The solution for the given inequality is x<4. Therefore, option D is the correct answer.
Given that, 5x-1<2x+11.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Here, inequality 5x-1<2x+11 can be solved as follows
Add 1 on both the sides of inequality, we get
5x<2x+12
Subtract 2x on both the sides of inequality, we get
3x<12
Divide 3 on both the sides of inequality, we get
x<4
The solution for the given inequality is x<4. Therefore, option D is the correct answer.
To learn more about the inequalities visit:
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Eli takes a typing test and types all 180 words in 1 12 hour. He takes the test a second time and types the words in 1 15 hour. Was he faster or slower on the second attempt? Drag and drop the correct word or number into each of the boxes to complete the explanation. Eli typed on his second attempt. He typed words per minute on his first attempt and words per minute on his second attempt.
Step-by-step explanation:
Eli typed faster on his second attempt, 120 words per minute on his first attempt and 150 words per minute on his second attempt.
What is Fraction?A fraction represents a part of a whole.
We need to calculate his typing speed for each attempt.
On his first attempt, Eli typed 180 words in [tex]1\frac{1}{2}[/tex] hours, which is the same as typing 120 words in 1 hour.
Therefore, his typing speed on the first attempt was 120 words per minute.
On his second attempt, Eli typed 180 words in [tex]1\frac{1}{5}[/tex] hour, which is the same as typing 150 words in 1 hour.
Therefore, his typing speed on the second attempt was 150 words per minute.
Comparing the two speeds, we see that Eli was faster on his second attempt, typing 150 words per minute compared to 120 words per minute on his first attempt.
Therefore, Eli typed faster on his second attempt, 120 words per minute on his first attempt and 150 words per minute on his second attempt.
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Help plz!!!!!!!!!!!!!!!!!!!!
Answer:
78.85
Step-by-step explanation:
A cyclist rides his bike at a rate of 10 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
1/10 + 6 2/5 + 5 3/4 This is A Math Problem.
Answer: 12 1/4 or 49/4
Step-by-step explanation:
Select the correct answer.
What is the range of the function represented by the graph?
Answer:
C. y is greater than or equal to 1
Step-by-step explanation:
The graph is above 1 on the graph. The range is along the y-axis. it ranges from 1 all the way up so it is greater than 1. The domain would be all real numbers.
2x+3>_7 or 2x+9>11 plzzzz help meee
Answer:
b
Step-by-step explanation:
hi I I'm the explanation
plssssss it’s past due and my mom won’t get out of my hair.
The number of hours slept at night is related to the number of minutes spent exercising that day. A collection of data on the number of minutes spent exercising, x, and the number of hours slept, y, is shown in the table.
x 30 37 40 45 52 55 61 65 71 76
y 6.25 6 6.5 7 6.5 7.25 7.5 8 8.65 8.5
Which linear equation best models the relationship between x and y?
Answer:
the answer is A
Step-by-step explanation:
took the test
1 point
A cable company charges $70 per month for cable service for existing
customers. For new customers, there is an additional one-time $100
service fee. What is a linear equation for this situation? *
y = 70%
y = 70x + 100
y = 100x
y = 100x + 70
Also, what is the y-intercept? *
Answer:
70x + 100
Step-by-step explanation:
Trust me on this one
What is the probability of being born in May or on the 30th of any month?
Answer: 41/365
Step-by-step explanation:
The probability of being born in May is 31/365 (May has 31 days and there are 365 days in a year).
The probability of being born on the 30th of the month is 11/365 (11 months have at least 30 days). However, since we have included May 30 in our MAy probability, we need to use the probability of 10/365.
Add the two probabilities together, and the probability of being born in May or on the 30th is 31/365 + 10/365 = 41/365.
what is 7 1/7 - 3 5/7
Answer:
Step-by-step explanation:
7 1/7- 3 5/7= 3 3/7
3 3/7 can also be 3.42 and 24/7
What rate of interest compounded annually is required to double an investment in four years
Answer:
18.92%
Step-by-step explanation:
What is the slope of the line passing through the points (1, 3) and (3,9)?
Answer:
3
Step-by-step explanation:
slop formula:
y2-y1
____
x2-x1
y2 is 9 and y1 is 3, so y2-y1 is 6
x2 is 3, x1 is 1, so x2-x1 is 2
6/2=3
Pls Show your work on the slope
Answer:
1) slope = 1/5
x - intercept = (10, 0)
y - intercept = (0,-2)
2) use the method I used for number one to do number 2.
Step-by-step explanation:
slope = rise/run = y2-y1/x2-x1
1)
use any 2 points on a line. Chose one y-value which is y2 and the corresponding x-coordinate is x2. In the other coordinates, the y-value is y1 and the x-value is x1. Let's use points:
(-10, -4)
(-5, -3)
y2 = -3, which means:
y1 = -4
x1 = -10
x2 = -5
plug in the values:
-3-(-4)/-5-(-10)
=1/5
X - intercept is when y = 0. Plug in 0 for y when you see it.
x-0 = 10
x=10
x-intercept = (10,0)
Same for y intercept, except x = 0 this time.
0-5y=10
-5y=10
y=-2
y-intercept = (0,-2)
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Please help I really need this!
Answer:
Side known in ratio as 8: 32
Side known in ratio as 9: 36
Side known in ration as 10: 40
Step-by-step explanation:
We can add all the numbers in the ration to form the sum of all the sides, or also equal to perimeter. 8+9+10 equals 27.
So we can write 27x=108
x=4. Multiply 4 to 8, then 9, then 10. You get 32, 36, 40
Hope this helped, Have a Great Day!!
3. Determine whether these two lines are parallel, perpendicular, or neither. 1 point
8x + y = 7, 4x + 3y = 12 *
parallel,
perpendicular or
neither
Answer:
The two lines are neither
Step-by-step explanation:
Parallel lines have equal slopes and different y-interceptsPerpendicular lines have a product of their slopes = -1The slope of a line whose equation is ax + by = c is m = [tex]\frac{-a}{b}[/tex]∵ The equations of the lines are
8x + y = 7 ⇒ 1st4x + 3y = 12 ⇒ 2nd∵ In the 1st equation a = 8 and b = 1
∴ m1 = [tex]\frac{-8}{1}[/tex] = -8
∴ The slope of the 1st line is -8
∵ In the 2nd equation a = 4 and b = 3
∴ m2 = [tex]\frac{-4}{3}[/tex]
∴ The slope of the 2nd line is [tex]\frac{-4}{3}[/tex]
→ By using the facts above
∵ m1 ≠ m2
∴ The two lines are not parallel
∵ m1 × m2 = -8 × [tex]\frac{-4}{3}[/tex] = [tex]\frac{32}{3}[/tex]
∴ m1 × m2 ≠ -1
∴ The two lines are not perpendicular
∴ The two lines are neither parallel nor perpendicular
Mean Versus Median
1) Sarah and Andrew were comparing prices of their favorite energy bar. Eight grocery stores
sell the PR energy bar for the following prices:
$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79
Sarah claims the average price of the candy bar is $1 37 but Andrew disagreed and said the
average price of the energy bar is actually $1.41. How did Sarah and Andrew come up with these
prices? Based on their calculations, who do you think is correct and why?
My
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79
Average value :
Sarah = $1.37
Andrew = $1.41
Obtaining the median:
(n + 1) / 2
n = number of observations = 8
(8 + 1) / 2 = 9 /2 = 4.5th observation
(4th +. 5th observations) / 2
(1.35 + 1.39) / 2 = $1.37
Finding the mean:
($1.09 + $1.29 + $1.29 + $1.35 + $1.39 + $1.49 + $1.59 + $1.79) /8
$11.28 / 8
= $1.41
Hence, the actual. Average value is the mean value of the data.
The median only gives the value at the middle of the distribution and not the average.
If point S is located at (0, 0), point T is located at (0, 6), point U is located at (12, 0), and point V is located at (0, 10), what are the coordinates of point W that makes △STU ~ △SVW?
A. (0,20)
B. (0,24)
C. (20.0)
D.(24,0)
Answer:
The coordinates of the point W is ((5/9)·√65, -20/9)
Step-by-step explanation:
The given parameters are;
The location of point S = (0, 0)
The location of point T = (0, 6)
The location of point U = (12, 0)
The location of point V = (0, 10)
We have;
The length of segment ST = √((6 - 0)² + (0 - 0)²) = 6
The length of segment SU = √((12 - 0)² + (0 - 0)²) = 12
The length of segment TU = √((12 - 0)² + (10 - 0)²) = √(144 + 100) = 2·√(61)
The length of segment TU = 2·√(61)
The length of segment SV = √((10 - 0)² + (0 - 0)²) = 10
Therefore, we have for similar triangles;
SV/SU = SW/ST = UW/TU
Therefore;
SW = ST × SV/SU = 6 × 10/12 = 5
VW = TU × SV/SU = 2·√(61) × 10/12 = (5/3)·√(61)
Where the coordinates of the point W = (a, b), we have;
Length of VW = √((10 - b)² + (0 - a)²) = (5/3)·√(61)
(25/9)·(61) = (10 - b)² + a²
Length of SW = √((0 - b)² + (0 - a)²) = 5
25 = b² + a²
∴ a² = 25 - b²
Substituting the value of a² into the length of segment LW equation, gives;
(25/9)·(61) = (10 - b)² + a² = (10 - b)² + 25 - b²
(25/9)·(61) = (10 - b)² + 25 - b² = 100 - 20·b + b² + 25 - b²
(25/9)·(61) = 125 - 20·b
20·b = 125 - (25/9)·(61)
b = -20/9
a² = 25 - b² = 25 - (-20/9)² = 1625/81
a = √(1625/81) = (5/9)·√65
The coordinates of the point W = ((5/9)·√65, -20/9).
The Valley High School printed 445 tickets for the school play in Spring. Three-fifth
of tickets were sold out by January. How many tickets remain to be sold?
Answer:
178
Step-by-step explanation:
3/5 = .60, 445 x 0.60 = 267, 450 - 267 = 178
Help me plzzzz!!!!
Graph: y-3=1/2(x+2)
Answer:
Step-by-step explanation:
First you need to find the Slope Intercept form or find the point and slope.
The point is: (-2,3)
and the slope is: 1/2
y - 3 = 1/2(x + 2)
y - 3 = 1/2x + 1
y = 1/2x + 1 + 3
y = 1/2x + 4
Slope intercept form: y = 1/2x + 4
Graph is show below ---
|
V
A scale drawing of an airplane is shown with a scale of 24 feet = 1 centimeter. What is the length of the actual plane?
Answer:
144 feet
Step-by-step explanation:
I forgot how it is that answer but I am sure that is the answer.
What’s the constant rate of change
Answer:
1:5
Step-by-step explanation:
So you can look at the first point and see its 5,25 so to find the rate of change you turn the 5 into a 1 by dividing 5/5 which would be 1 but you need to do the same to both sides so you divide 25 by 5 and get 5 so you have the 1 and 5 and you can turn it back to a ratio by putting : instead of the and so it would be 1:5!
Use equivalent rates to determine the total cost for 30 pounds of Hermiston watermelons from a local farm if the farm charges $5.00 per 3 pounds
Answer:
50
Step-by-step explanation:
$5 3 $10 6 $15 9 $20 12 $25 15 $30 18 $35 21 $40 24 $45 27 $50 30
Pleaseee help
Paula and Sam were working on a project for their math class. They were studying
scientific notation and decided to research texting in the United States for their
presentation. One statistic they found was that there are an average of 13.9
million texts sent each hour. Paula suggested that they use that information
to determine the average number of texts sent per day. What is the average
number of texts sent in the United States per day?
Answer:
333,600,000 ( This could also be written as 333.6 million).
Step-by-step explanation:
Every hour, there are 13.9 million texts. As there are 24 hours in a day, you must do the equation 13,900,000x24. This is 333,600,000, which is your answer. I hope this helps
what is 11x times 11y
Answer:
121xy
Step-by-step explanation:
11*11=121, x*y=xy,
121xy
Imogen bought i number of invitations to send out for her party. After she sent out 19, she was left with 11. What is the
value of 1?
11
оооо
19
о 30
Answer:
30 in total that she bought
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
got it right on edg 2021
What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?
(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2
i was doing fine until i came to this question please help
i dont know what its asking