Answers
The equation of line in the given graph with coordinate points (2,-2) and (-3,-6) is 4x-5y=18.
What is equation of line?A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. Linear equations are classified into three types: point-slope, standard, and slope-intercept. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane. A plane, unlike a line, does not have a clear "direction."
Here,
The coordinates of line will be (2,-2) and (-3,-6).
slope m=(-6-(-2))/(-3-2)
=-4/-5
=4/5
(y-y1)=m(x-x1)
y+2=4/5(x-2)
5(y+2)=4(x-2)
5y+10=4x-8
4x-5y=18
4x-5y=18 is the equation of the line in the given graph with coordinate points (2,-2) and (-3,-6).
To know more about equation,
https://brainly.com/question/10413253?referrer=searchResults
#SPJ1
Related Questions
The atmospheric pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases about 11.5%. What is the pressure at an altitude of 5000 m?
Answers
The pressure at an altitude of 5000 m if The atmospheric pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases by about 11.5% is 58.08 kPa.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is. Both manual calculation and the use of internet calculators are options.
Given:
The atmospheric pressure, P = 101 kPa,
For every 1000 meters, the pressure decreases by 11.5%,
So at the height of 5000 meter, the % decrease will be 5 × 11.5 = 57.5%,
Now let the 57.5% of 101 kPa be x then,
x = 57.5/100 × 101 kPa,
x = 58.08 kPa,
Therefore, the pressure at an altitude of 5000 m if The atmospheric pressure at sea level is about 101 kilopascals. For every 1000-m increase in altitude, the pressure decreases by about 11.5% is 58.08 kPa.
To know more about percentages:
https://brainly.com/question/20818421
#SPJ1
To mix a particular shade of purple paint, red paint and blue paint are mixed in the ratio . To make 20 gallons of this shade of purple paint, how many gallons of red and blue paint should be used?
Answers
Answer:
Red paint = 12.5 gallons
Blue paint = 7.5 gallons
Step-by-step explanation:
The given ratio of red paint to blue paint is:
red : blue = 5 : 3Let x be the number of gallons of purple paint.
Therefore, the expression for each color of paint needed per x gallons of purple paint is:
[tex]\implies \textsf{Red\;paint $=\dfrac{5}{8}x$}[/tex]
[tex]\implies \textsf{Blue\;paint $=\dfrac{3}{8}x$}[/tex]
To calculate the number of gallons of red and blue paint needed to make 20 gallons of purple paint, substitute x = 20 into the found expressions:
[tex]\implies \textsf{Red\;paint $=\dfrac{5}{8} \times 20=\dfrac{100}{8}=12.5$}[/tex]
[tex]\implies \textsf{Blue\;paint $=\dfrac{3}{8}\times 20=\dfrac{60}{8}=7.5$}[/tex]
Therefore, the number of gallons of paint that should be used are:
Red paint = 12.5 gallonsBlue paint = 7.5 gallonsA radio station claims that the amount of advertising per hour of broadcast time has an average of 13 minutes and a standard deviation
equal to 1.2 minutes. You listen to the radio station for 1 hour, at a randomly selected time, and carefully observe that the amount of
advertising time is equal to 8 minutes. Calculate the z-score for this amount of advertising time.
A. z = -0.52
B. z = -4.17
C. O z = 4.17
D. z = 0.52
Answers
The z-score for this amount of advertising time is z = -4.17 so option B is correct.
Given:
Average = 13 minutes
Standard deviation = 1.2 minutes.
Advertising time x = 8 minutes.
z = x - mean / standard deviation.
= 8 - 13/1.2
= -5/1.2
= -5/12/10
= -50/12
= -4.17.
Therefore the z-score for this amount of advertising time is z = -4.17 so option B is correct.
Learn more about the z-score here:
https://brainly.com/question/15016913
#SPJ1
If m/ABD = 78°, what are m/ABC and m/DBC?
I need help with this please
Answers
The value of the angles that are intersected by BC are m/ABC is 35° and m/DBC is 43°
In the given figure the angle ∠ABD is intersected by the straight line BC such that two new angles are formed ,∠ABC and ∠ADC .
Now from the properties of angles on a 2-dimensional plane we can see that :
m ∠ABC + m ∠ADC = m ∠ABD
The values of the angles given are:
m ∠ABC = 5x - 5
m ∠ADC = 5x + 3
m ∠ABD = 78°
now we put these above values in the equation:
(5x - 5) + (5x + 3) = 78
or, 10 x - 2 = 78
or, 10 x = 80
or , x = 8
m ∠ABC = 5×8 - 5 = 35°
m ∠ADC = 5×8 + 3 = 43°
The value of the angles that are intersected by BC are m/ABC is 35° and m/DBC is 43° .
To learn more about angles visit:
https://brainly.com/question/15457894
#SPJ1
the table represents a function.
x
-6
-2
0
3
f(x)
3
1
4
-2
Answers
The value of the function f(x) at x = -2 is , f(-2) = 1 , the correct option is (c) .
Function is defined as an expression that defines a relationship between one variable and another variable .
In the question ,
it is given that ,
the value of the function f(x) at different values of x is given ,
we have to find the value of the f(-2) , that is the value of the function f(x) at x = -2 .
from the table , we see that when x [tex]=[/tex] -2 , the value of f(x) is [tex]=[/tex] 1 ,
that means f(-2) [tex]=[/tex] 1 .
Therefore , The value of the function f(x) at x = -2 is , f(-2) = 1 , the correct option is (c) .
Learn more about Functions here
https://brainly.com/question/13434805
#SPJ1
The path of a baseball is modeled by the equation [tex]y= -0.25x^{2} +4x+3\\[/tex] where x represents the time (in seconds) and y represents the height of the baseball.
- Find and interpret the y-intercept. Find the maximum height of the baseball. Then sketch a graph of the path.
(please provide steps on how to solve if you can)
Answers
The y-intercept is y = 3, and this is the initial height of the ball, and the maximum height is y = 19
What is the y-intercept?The y-intercept is what we get when we evaluate in x = 0, then:
y = -0.25*x² + 4x + 3
replacing x by zero we get:
y = -0.25*0² + 4*0 + 3 = 3
The y-intercept is y = 3.
The maximum height is at the vertex, we know this because the leading coefficient is negative, which means that the parabola opens down.
The vertex is at:
x = -4/(2*-0.25) = 8
Evaluating there:
y = -0.25*8² + 4*8 + 3 = 19
that is the maximum height.
Learn more about parabolas:
https://brainly.com/question/4061870
#SPJ1
Here is a list of numbers. 6724669533 Work out the median.
Answers
Answer:
Median: 5.5
Mean: 5.1
Write an equation for the nth term of the arithmetic sequence
Answers
The equation for the nth term of the arithmetic sequences are:
a_n = -11 + 4n and a_n = -10 + 2n where n is an positive integer.
What is the arithmetic sequence?
A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.
The formula of nth term of an arithmetic sequence is a_n = a + (n-1) d
The arithmetic sequence is -7, -3, 1, ....
The first term is a = -7.
The common difference is d = (-3)-(-7) = 1 - (-3) = 4.
The nth term of an arithmetic sequence is
a_n = -7 + (n-1) 4
a_n = -7 + 4n -4
a_n = -11 + 4n
The arithmetic sequence is -8, -6, -4, ....
The first term is a = -8.
The common difference is d = (-6)-(-8) = -4 - (-6) = 2.
The nth term of an arithmetic sequence is
a_n = -8 + (n-1) 2
a_n = -8 + 2n - 2
a_n = -10 + 2n
To learn more about arithmetic sequence, you can visit below link:
https://brainly.com/question/10396151
#SPJ1
Write an equation for line L in point-slope form and slope-intercept form.
L is parallel to y = 5x.
Answers
1. You begin working at Tasty Tacos with the payment schedule listed in the table below:
Write an equation that describes the relationship between the years (x) and the earnings per hour (y).
2. If this pattern continues, what would the earnings per hour be after working for 15 years?
3. If this pattern continues, after how many years of service would you earn $9.65 per hour?
Answers
The earnings per hour be after working for 15 years is $11.4.
From the given table (2, 6.85), (4, 7.55), (6, 8.25).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
1) Now, put (x1, y1)=(2, 6.85) and (x2, y2)=(4, 7.55) in slope formula, we get
m=(7.55-6.85)/(4-2)
= 0.7/2
= 0.35
Substitute m=0.35 and (x, y)=(2, 6.85) in y=mx+c, we get
6.85=0.35(2)+c
⇒ 6.85=0.7+c
⇒ c=6.85-0.7
⇒ c=6.15
Now, equation is y=0.35x+6.15
2). Put x=15 in the obtained equation, we get
y=0.35×15+6.15
⇒y=$11.4
3). Put y=9.65 in the obtained equation, we get
9.65=0.35x+6.15
⇒0.35x=9.65-6.15
⇒0.35x=3.5
⇒x=3.5/0.35
⇒x=10 years
Therefore, the earnings per hour be after working for 15 years is $11.4.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ1
Ann and Ben translate documents from German into English.
A set of documents that would take Ann 10 days would take Ben 12 days.
Ann starts to translate the documents
After 2 days Ann and Ben both work or translating the documents.
How many MORE days will it take to complete the work?
Give answer in mixed fraction
Answers
The additional number of days that is required to complete the rest of the work in mixed fraction is equal to 4 4/11 days.
How to determine the additional number of days?First of all, we would determine the number of work left for Ann after two (2) working days:
In one (1) day, the amount of work that would be done by Ann alone is given by 1/10 days. Therefore, the amount of work that would be done by Ann alone in two (2) days is given by 2/10 or 1/5 days.
For the number of work left, we have:
Work left = 1 - 1/5
Work left = 4/5 days.
Similarly, the amount of work that would be done by Ben alone in one (1) day is given by 1/12 days.
Therefore, the combined work rate of both Ann and Ben is given by:
Combined work rate = 4/5 + 1/12
Combined work rate = 11/60
For the additional number of days required to complete the rest of the work, we have:
Additional days = 4/5 ÷ 11/60
Additional days = 4/5 × 60/11
Additional days = 4 × 12/11
Additional days = 48/11
Additional days = 4 4/11 days.
Read more on number of days and work here: https://brainly.com/question/28622215
#SPJ1
Write 531.246 in expanded form.
Answers
Answer:
Step-by-step explanation:
Answer: 500 + 30 + 1 + 0.2 + 0.04 + 0.006
Karen, Pete, Rose, and David are comparing their solutions to a hornework problem below. Select the student who correctly subtracted the rational expressions.
Answers
Answer:
Step-by-step explanation:
we cant see the problem or there answers
PLEASE HELP ASAP PLEASE HELP ASAP
Answers
The materials travel faster on Belt One, considering the constants of the proportional relationships.
What is a proportional relationship?A proportional relationship is a linear function with intercept zero in which the output variable symbolized by y is given by the multiplication of the input variable symbolized by x and the constant of proportionality symbolized by k, according to the equation presented as follows:
y = kx
For each belt in this problem, the constant gives the velocity that the materials travel.
For Belt One, the relation is:
y = 157.1x.
Hence the velocity is of 157.1 inches per minute.
For Belt Two, the velocity is obtained as follows:
k = 125.6/2 = 62.8 inches per minute.
157.1 > 62.8, hence it travels faster on Belt One.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Elsa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday
there were 6 clients who did Plan A and 5 who did Plan B. On Thursday there were 2 clients who did Plan A and 3 who did Plan B. Elsa trained her Wednesday
clients for a total of 7 hours and her Thursday clients for a total of 3 hours. How long does each of the workout plans last?
Answers
what is the diffrence of 256,805 - 136.667
Answers
256 805 - 136.667 ≈ 256 668.333
The difference is approximately 256 668.333
Find m<1 then classify the angle.
Answers
Answer:
81 degrees
This is an acute angle since it’s less then 90 degrees
Step-by-step explanation:
All three angles of a triangle always equal 180 degrees
180-(78+31)
180-109
81 degrees
Hopes this helps please mark brainliest
what is 12 x 6 because area = L x w a = 12 x 6 a= ?
Answers
Answer: _______________________________
72
A small van can hold 50 crates and boxes. For every 7 crates the van can hold, there is
room for 3 boxes. How many crates and boxes are in the van when it is completely full?
Answers
There are 15 crates and 35 boxes in the van when it is completely full.
Given,
Total number of crates and boxes=50
For every 7 crates the van can hold, there is room of 3 boxes.
let,
Number of crates =x
Number of boxes =y
As given,
Equation for total number of crates and boxes can be written as
[tex]x+y=50....i[/tex]
Space for 7 crates is equal to space for 3 boxes in van, it's equation can be written as
[tex]7x=3y\\\\x=\frac{3y}{7}[/tex].
Substituting 'x' in eq.[tex]i[/tex]
[tex]\frac{3y}{7}+y=50\\\\ \frac{3y+7y}{7}=50 \\\\10y=7*50\\\\10y=350\\\\y=\frac{350}{10}\\ \\y=35[/tex]
Substituting 'y' in eq.[tex]i[/tex]
[tex]x+35=50\\\\x=50-35\\\\x=15[/tex]
Thus, there are 15 crates and 35 boxes in the van when it is completely full.
To learn more about algebra refer here
brainly.com/question/18768257
#SPJ9
11x-4>-15 how do i do this?????????
Answers
Answer: x>-1
Step-by-step explanation:i just did that question
Answer:
Step-by-step explanation:
add 4 to -15 then divide that by 11x the answer should be x=-1.
Find the slope of the line that passes through (4, 8) and (7, 4).
Answers
Answer:
[tex] \huge{ \bold{ \orange{ - \frac{4}{3} }}}[/tex]
Step-by-step explanation:
The slope of a line passing through two points can be found by using the formula
[tex]m = \frac{y2 - y1}{x2 - x1} \\ [/tex]
where
(x1, y1) and (x2, y2) are the points
From the question
The points are (4, 8) and (7, 4)
We have
[tex]m = \frac{4 - 8}{7 - 4} = - \frac{4}{3} \\ [/tex]
We have the final answer as
[tex] \bold{ - \frac{4}{3} }[/tex]
Hope this helps you
The perimiter of a square is 60 cm how long is one side of the square
Answers
Answer: 15 cm
Step-by-step explanation:
just divide 60 by 4 and because a squar has 4 sides and that is it
CAN SOMEONE HELP WITH THIS QUESTION?✨
Answers
The sides and angles of the right triangle are as follows:
a = 8.0 unitsb = 0.7 unitsB = 5 degreesHow to find the sides and angles of right triangle?A right tangle triangle is a triangle that has on e of its angles as 90 degrees. The sides of a right triangle can be named based on the position of the angles.
The sides includes opposite side, adjacent side and hypotenuse side. The longest side of a right angle triangle is the hypotenuse side.
The sides of the right angle triangle can be found using trigonometric ratios as follows:
sin 85 = opposite / hypotenuse
sin 85 = a / 8
a = 8 sin 85
a = 7.96955758473
a = 8.0
cos 85 = adjacent / hypotenuse
cos 85 = b / 8
b = 8 cos 85
b = 0.69724594198
b = 0.7 units
Angle B = 180 - 90 - 85 = 5 degrees.
learn more on right triangle here: brainly.com/question/16249977
#SPJ1
Find an equation of the line containing the given pair of points (3,4) and (9,9
Answers
y=5/6x+3/2
Explanation:
So in order to find the slope, you need to use the equation y2-y1/x2-x1. If you input the values into that equation, you get 5/6. Then, plug in the points into the equation to find the y intercept:
9=5/6(9)
9=7.5
1.5 or 3/2
Tommy left his house and rode his bike 15 miles north. He then rode 8 miles east.
How far is Tommy from his house in miles?
Answers
Answer: Tommys dispacement 17 miles
Step-by-step explanation:
pyhagorean theorem
he went 15 up (leg 1)
and then right 8 (leg 2)
and Tommy's displacement is the hypotenuse
15^2+8^2=c^2
c^2 = 289
c = 17
Someone j need help with this pls
Answers
Answer:
27/256
Step-by-step explanation:
=(27)(1/4)(1)/(64)
=27/256
I need help plssss
-3(2x-11)_>8x-9
Answers
The Linear inequality holds true for 21 ≥ x;
What is Linear Inequality?
The mathematical expression with unequal sides is known as inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics. The symbols "" and ">" signify tight inequalities, while "" and "" signify slack inequalities.
In the given question, the given inequality given is:
-3(2x-11) ≥ 8x-9;
Solving the Inequality:
⇒-6x + 33 ≥ 8x - 9;
⇒33 + 9 ≥ 8x - 6x;
⇒ 42 ≥ 2x;
⇒ 21 ≥ x;
Hence,
The Linear inequality holds true for 21 ≥ x;
To learn more about Linear Inequality, visit:
https://brainly.com/question/24372553
#SPJ1
If MLDEF = 119, then what are m/FEG and m ZHEG? The diagram is
not to scale.
Answers
The measure of <FEG= 61 and <HEG = 119.
What is Vertical Opposite Angle?The opposing angles created by the intersection of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.
when two lines in a plane intersect, one of the angles that are directly across from one another.
Given:
m< DEF= 119
Now, <DEF + <FEG= 180 (Linear Pair)
119+ <FEG = 180
<FEG = 180- 119
<FEG = 61
and, <DEF= <HEG = 119 (Vertical opposite angle)
Learn more about Vertical Opposite angle here:
https://brainly.com/question/18045519
#SPJ1
y=3x-1 passes through (3,2)
Answers
The equation of the line passing through y = 3x-1 and (3,2) is y = 3x-7.
According to the question,
We have the following information:
y = 3x-1 and the point through which line is passing is (3,2)
We know that the slope of the given line (denoted by m) is 3.
Now, the following formula is used to find the equation of the line passing through a point:
y-y' = m(x-x')
In this case, we have x' = 3 and y' = 2.
y-2 = 3(x-3)
y-2 = 3x-9
Moving 2 from the left hand side to the right hand side will result in the change of the sign from minus to plus:
y = 3x-9+2
y = 3x-7
Hence, the equation of the line passing through y = 3x-1 and (3,2) is y = 3x-7.
To know more about equation of the line here
https://brainly.com/question/20759043
#SPJ1
A plant grow 1.67cm in it 1st week. Each week it grow by 4% more than it did the previous week by how much does it grow 9 week including the 1st week
Answers
If each week it grow by 4% more than it did the previous week by it grow in 9 week is 17.67cm.
How to find the growth in 9 week?Now let find the growth in 9 week
Growth in 9 week = 1.67cm × [( 1+ 0.04)^9 -1] ÷ [(1+0.04)-1]
Growth in 9 week = 1.67cm × [( 1.04)^9 -1] ÷ (1.04)-1]
Growth in 9 week = 1.67cm × [( 1.4233 -1) ÷ 0.04
Growth in 9 week = 1.67cm × [0.4233 ÷ 0.04
Growth in 9 week = 1.67cm × 10.5825
Growth in 9 week = 17.67cm
Therefore 17.67cm is the 9 week growth.
Learn more about growth in 9 week here: https://brainly.com/question/24168462
#SPJ1