The slope of the line with points (0,-1/2) and (7/5, 10) is 7.5
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope
We know that slope, slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
For the pairs of points (0,-1/2) and (7/5, 10)
⇒ m = [tex]\frac{10 - (-1/2)}{(7/5) - 0}[/tex]
⇒ m = [tex]\frac{21/2}{(7/5) }[/tex]
⇒ m = 15/2
⇒ m = 7.5
Hence, the slope of the line with points (0,-1/2) and (7/5, 10) is 7.5
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Question 1 (1 point)
Find the missing side of the right triangle. ROUND TO THE NEAREST TENTH (one decimal place). Of 88 and 81
The length of the missing side of the given triangle is 2√2×11.
What are triangles?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.So, the missing length of the given triangle:
The formula of the hypotenuse.
H² = B² + L²Now, substitute values in the formula:
H² = B² + L²13² = 9² + L²13² - 9² = L²169 - 81 = L²88 = L²L = √88L = √2×2×2×11L = 2√2×11Therefore, the length of the missing side of the given triangle is 2√2×11.
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sowjjwhsixjsbisisjss isjdheukshsbwikwwn jwkejhwwbbsjkskd
thanks man you gudjkkhshsj
In Exercises 7-9, solve the formula for the indica
7. Force: f = ma; Solve for m.
Answer:
F= ma is the formula of Newton’s Second Law of Motion.
Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.
How many ways can five of the letters of the word ALGORITHM be selected and written
in a row if the first two letters must be TH?
There are 210 ways to write 5 of the letters of the word ALGORITHM in a row if the 2 two letters must be TH
Given data
the word ALGORITHM
the first two letters must be TH
How to find number of ways 5 letters of the word AGORITHM will be selected and written in a row if the first two letters must be THALGORITHM has 9 letters and order of writing the letters is important, so we use Permutation to solve this
The 2 letters TH are fixed and this reduces the number of letters in the word from 9 to 7. Also, the the first two being fixed reduces the letters arrangement to be 3.
This means that we have the arrangement as follows:
7P3
= 7! / ( 7 - 3 )!
= 7! / 4!
= 7 * 6 * 5 * 4! / 4!
= 7 * 6 * 5
= 210 ways
Hence there are 210 ways to write 5 of the letters of the word ALGORITHM in a row if the 2 two letters must be TH
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2 (x + 6) simplify
will give brainlist if show me steps with numbers, please help!
Answer:
2x + 12
Step-by-step explanation:
Use the distributive property of multiplication over addition.
2(x + 6) = 2 × x + 2 × 6 = 2x + 12
What is the value of the left side of the statement?
4³ + 2 · (5 + 4) =
Answer:
awnser value is 64
Step-by-step explanation:
4³ is an exponential multiplied by itself 3 times an added to 2
Answer:
82
Step-by-step explanation:
Follow BIDMAS: 1. Brackets, 2. Indices, 3. Division, 4. Multiplication, 5. Addition, 6. Subtraction
1. Brackets, 5+4=9
therefore the equation is now
[tex]4^3+2*9[/tex]
2. Indices
[tex]4^3=4*4*4=64[/tex]
therefore the equation is now
[tex]64+2*9[/tex]
3. Multiplication
2*9=18
therefore the equation is now
64+18
now add,
=82
therefore, [tex]4^3+2*(5+4)=82[/tex]
Determine whether each infinite geometric series diverges or converges.
If the series converges, state the sum. 1+ 1/4 + 1/16 + . . . .
Determine whether each infinite geometric series diverges or converges. The series converges.
If the series converges, state the sum. 1+ 1/4 + 1/16 + . . . .
The sum of the infinite series is 4/3
What is the sum of the infinite series?
Given:
[tex]a(\text{ the first term })=1\\\\r=\frac{a_{2} }{a_{1} } =\frac{1/4}{1} =\frac{1}{4}\\[/tex]
Since [tex]\vert r \vert < 1[/tex] , the infinite series converges.
The sum of infinite geometric series is:
[tex]S_\infty=\frac{a}{1-r} ; -1 < r < 1\\\\S_\infty=\frac{1}{1-\frac{1}{4}}=\frac{4}{3}[/tex]
The sum of the infinite series is 4/3
What is an infinite geometric series?
The result of an endless geometric sequence is an infinite geometric series.There would be no conclusion to this series.The total of all finite geometric series can be determined.However, if the common ratio of an infinite geometric series is bigger than one, the terms in the sequence will grow steadily larger, and adding the larger numbers together will not yield a solution.To learn more about infinite geometric series, refer:
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Translate the triangle. Then enter the new coordinates.
question down below^^
Answer:
a = 2, 4
b = 3,0
c =1,2
Step-by-step explanation:
The formula for calculating the volume of a cone is V=1/3(pi)r(to the third power)h. Solve this formula for h.
The expression for the height is given as 3V/pir³
Volume of coneA cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the ape-x or vertex.
The formula for calculating the volume of a cone is expressed according to the equation;
V = 1/3pir³h
We are to make h the subject of the formula;
V = 1/3pir³h
Cross multiply
3V = pir³h
Divide both sides by pir³
3V/pir³ = pir³h/pir³
3V/pir³ = h
Swap
h = 3V/pir³
Hence the expression for the height is given as 3V/pir³
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Prove the following.
If VZ ≅ VY and WY ≅ XZ , then VW ≅ VX .
The expression of the segment as the sum of the parts, gives VW = VX
How can the segment parts be used to prove that VW = VX?The given parameters are;
VZ = VY, WY = XZ, then VW = VX
From the given drawing obtained from a similar question, we have;
VZ = VW + WY (Segment Addition Postulate)
VY = VX + XZ, by segment addition
Therefore;
By substitution property, we have;
VW + WY = VX + XZ
Which gives;
VW + WY = VX + WY (substitution)
VW + WY - WY = VX + WY - WY
VW = VX by subtraction property
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raise the difference of r and s to the 9th power
Answer:
(r-s)⁹
Step-by-step explanation:
The difference means to subtract, so we have r-s.
Raising this to the 9th power gives (r-s)⁹.
For which value of a are the graphs of –4 = 3x + 6y and ax – 8y = 12 parallel?
a = –4
a =
a =
a = 2
For both graphs to be parallel, the value of a = -1/2.
What are the Equations of Parallel Graphs?If two graphs are parallel, their equation expressed in slope-intercept form y = mx + b, will have the same value of m which is the slope of the graphs.
Given, 4 = 3x + 6y, rewrite both equations in slope-intercept form:
4 = 3x + 6y
-3x + 4 = 6y
-3x/6 + 4/6 = 6y/6
-1/2x + 2/3 = y
y = -1/2x + 2/3 [slope (m) = -1/2]
This means that for both graphs to be parallel, the value of a = -1/2.
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Answer:
-4 smh
Step-by-step explanation:
ono edge
Jackson Middle School sells bags of popcorn on Fridays for $2.50. Amal borrowed popcorn money from Bella for three weeks, and paid back 1/2. Which
expression shows how much money Amal owes Bella.
O x 3(-2.5)
O-2.5 (3)
O + 2.5 (3)
○ 3 (2.5)
Correct answer is A. Amal owes Bella x 3(-2.5)
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given,
School sells bags of popcorn on Fridays for $2.50.
money paid back to Bella after 3 weeks - 1/2
⇒ Amal owes Bella = x 3(-2.5)
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What is the answer to this problem?
Answer:
7 + 3 * x = 52
x = 15
Step-by-step explanation:
Let's call the number x.
The sum of seven and three times a number is 52
Let's substitute x for "a number" and write it mathematically:
7 + 3 * x = 52
3 * x = 52 - 7
3 * x = 45
x = 15
Suppose you pull a card from a standard 52-card deck. Find the probability of following event. The card is a 4 .
1/2 is the probability of following event. The card is a 4 .
In statistics, what does a probability mean?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.In a standard 52 card deck, there are 4 categories each having 13 cards.
Spades ; Hearts ; Diamonds ; Clubs
Hearts and Diamonds are red.
No. of red cards= 13 x 2 = 26
Probability, P(r) = No. of red cards/ Total no. of cards
P(r) = 26/52 = 1/2
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ilhan begin her training at 7:22 am. she crossed the finish line at 8:07 pm, after swimming 2.4 miles, cycling 112 miles and running 26.2 miles. find her average speed of the race
Ilhan's average speed in the race is 11.03 miles per hour.
What is the average speed?The average speed is a scalar measure of the total distance divided by the total time.
The average speed shows an object's displacement rate from one point to another.
Speed measures the rate of fastness, while the average speed shows the average rate of fastness of an object in movement.
The average speed is measured in magnitude without direction as a scalar quantity.
Data and Calculations:Beginning time for the race = 7:22 am
Ending time for the race = 8:07 pm
Time used = 12hours 45 minutes or 12.75 hours (8:07 pm - 7:22 am)
Distance:Swimming 2.4 miles
Cycling 112 miles
Running 26.2 mile
Total distance = 140.6 miles
Average speed = Distance/Time
= 11.03 miles per hour (140.6/12.75)
Thus, Ilhan's average speed in the race is 11.03 miles per hour.
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Three cards are randomly chosen from a deck of 52 cards without replacement. What is the probability that they will all be red?
The probability that all three cards will be red is [tex]\frac{2}{17}[/tex]
In a deck of cards, the total number of cards is 52.
The total number of red cards in a deck is 26 i.e., half the total number of cards.
Selection of 3 cards from 52 cards is done according to 52C3.
Selection of 3 cards from 26 red cards is done according to 26C3.
∴ Probability = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex]
= [tex]\frac{26C3}{52C3}[/tex]
= [tex]\frac{2600}{22100}[/tex]
= [tex]\frac{2}{17}[/tex].
Hence, the probability that all three chosen cards from the deck of 52 cards will be red is [tex]\frac{2}{17}[/tex].
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What is the slope of y= 3
Answer:
{36+7[6-2(10÷)+9(2)]}÷4
A tailor used 5 meters of string to make 7 Halloween masks. He used ____ of a meter for each mask.
Answer:
.715 meters
Step-by-step explanation:
PLEASE HELPP
URGENT ! :3
Answer:
first is positive
second is also positive
third id negative
forth is also negative
Step-by-step explanation:
1) and 2) It is because there is no sign before the solution.
for 3) and 4) there is a - (minus) sign before the product so the solution is negative.
is -1/3 - 4/5 positive. negitive, or zero?
Answer:
it is -17/15
Step-by-step explanation:
-1/3-4/5
get the LCM .15
=(15*-1/3-1/5*15)/15
=-17/15
solve 2x + 13 = 17 for x, and then use that number to find the value of 3x + 1
Step-by-step explanation:
2x+13=17
2x=17-13
2x=4
x=4/2
x=2
then,
3x+1
= 3*2+1
= 6+1
= 7
Answer: 7
Step-by-step explanation:
To solve the problem you need to use algebra.
[tex]2x+13=17\\[/tex]
Subtract 13 on both sides.
[tex]2x=4[/tex]
Proceed to divide by 2 to solve for x.
[tex]x=2[/tex]
Now using your x-value, plug that into 3x+1 to get your solution.
[tex]3x+1\\3(2)+1=7[/tex]
For each equation, find the center and radius of the circle.
x²+(y+3)²=25
Steven buys 6 movie downloads.
The total cost is $3 above or below
$35. Write an equation that models
the cost x, in dollars, of each movie
download.
The equation that models the cost x, in dollars, of each movie download is x = $(35 ± 3)/6
Writing an EquationFrom the question, we are to write an equation that models the cost x, in dollars, of each movie download
From the given information,
Steven buys 6 movie downloads and the total cost is $3 above or below
$35
That is,
6x = $(35 ± 3)
Then,
The cost x, in dollars, of each movie download is
x = $(35 ± 3)/6
Hence, the equation is x = $(35 ± 3)/6
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The length of a rectangle is 4 less than 5 times its width? If the perimeter of the
rectangle is 112 square feet, what is the length and width of the rectangle?
The length and width of the rectangle is 46 feet and 10 feet respectively.
Let the length of the rectangle be x and the width of the rectangle be y.
Now, the length of the rectangle is 4 less than 5 times its width.
Therefore,
x = 5y - 4
The perimeter of a rectangle is given as two times the sum of its length and breadth.
Perimeter = 2( length + breadth)
P = 2( x + y)
Now, the perimeter of the rectangle is 112 square feet.
Therefore,
112 = 2( 5y - 4 + y)
( 112 /2) = 5y - 4 + y
6y - 4 = 56
6y = 56 + 4
6y = 60
y = ( 60 / 6)
y = 10
Now,
x = 5y - 4
x = 5 × 10 - 4
x = 50 - 4
x = 46
So, the length of the rectangle is x = 46 feet and the breadth of the rectangle is y = 10 feet.
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The office manager of a small office ordered 140 packs of printer paper. Based on average daily use, she knows that the paper will last about 80 days.
c. How many packs of printer paper should the manager expect to have after 30 days?
5.25 pack of printer paper the manager should expect to have after 30 days.
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
If 140 paper are used in 80 days then
in days 80 ⇒ 140 pack paper used
in day 1 ⇒ 140/80 pack paper used
in days 30 ⇒ 140/80 × 30
⇒ 21/4 pack paper used or 5.25 pack paper used
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Determine the 20th term of the sequence
1,4,7,... in arithmetic sequence
Answer: 58
Step-by-step explanation:
Increment of 3
4th term is 10,
5th term is 13,
6th term is 16,
7th term is 19,
8th term is 22,
9th term is 25,
10th term is 28,
11th term is 31,
12th term is 34,
13th term is 37
14th term is 40
15th term is 43
16th term is 46
17th term is 49
18th term is 52
19th term is 55
Meaning that the 20th term is 58
Answer:
a₂₀ = 58
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 1 and d = a₂ - a₁ = 4 - 1 = 3 , then
a₂₀ = 1 + (19 × 3) = 1 + 57 = 58
you buy 3.7 pounds of trail mix the mix cost 2.92 per pound what is the total price for the mix
Answer
3.7lb=
2.92=
lb=
6.63
Step-by-step explanation:
I’m confused on this one so help would be great
Answer:
Step-by-step explanation:
The grounds crew needs to mow the football field before their next game. Mr. Comb can mow the field in 5 hours, and Mr. Ramset can mow the same field in 4.5 hours. If they worked together, how long would it take for both of them to mow the field if they worked together? Round your answer to the nearest minute.
Answer:
2 hours and 22 minutes
Step-by-step explanation:
Rate x Time = jobs
Mr. Comb's rate is 1 field in 5 hours or 1/5.
Mr. Ramset's rate is 1 fiend in 4.5 hours.
If we take the time and rate that it takes Mr. Comb's to mow one field and add it to the time and rate that it takes Mr. Ramset's to move one field we can find out how long it takes them to mow one field together
RT + RT = 1 (job)
1/5T + 1/4.5T = 1 We need a common denominator. I just multiplied 5 x 4.5 for get 22.5 Rewrite 1/5 and 1/4.5 with a common denominator or 22.5 we get the equivalent fractions that we can add together.
4.5/ 22.5T + 5/22.5T = 1 Add the fractions together
9.5/22.5T = 1 We want to solve for T, so we will multiply both sides of the equation by 22.5/9.5
9.5/22.5(22.5/9.5)T= 1 22.5/9.5
T = 22.5/9.5 When I divide these, I get 2 35/95 hours. I need to change the fraction part of an hour to minutes. I will use the unit multiplies 60 minutes/ 1 hour.
35hours/95 (60 minutes/1 Hour) = 22.10526331579. I need to round this to the nearest minutes which will be 22 minutes.
