Answers
The equation of the line passing through points (-3,0) and (0,3) is y=x+3.
The equation of the line passing through two points (x₁,y₁) and (x₂,y₂) can be calculated using the formula y-y₁=m(x-x₁) , where m denotes the slope of the line .
from the given graph we can find that the line passes through the two points (-3,0) and (0,3)
we get the values , as x₁=-3 , x₂=0 and y₁=0 , y₂=3 .
Slope of the line can be calculated by using the formula ,
m=(y₂-y₁)/(x₂-x₁)
Substituting the values we get ,
m = (3-0)/(0+3)
m=3/3 = 1
Now substituting the values of x₁, x₂, y₁, y₂ and m in the formula of equation of line we get ,
y-0=1(x-(-3))
y-0=1(x+3)
y-0=x+3
y=x+3
Therefore , the equation of the line passing through points (-3,0) and (0,3) is y=x+3.
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Related Questions
Write the equation and slope intercept form: y-4=2(x+3)
Answers
Answer:
y = 2x + 10
Step-by-step explanation:
Remember, slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
To write the equation in slope-intercept form, we can just solve the equation for slope-intercept form.
y - 4 = 2(x + 3)
Distribute the 2 on the right side.
y - 4 = 2x + 6
Add 4 to both sides.
y = 2x + 10
Notice, now we have the equation in slope-intercept form.
I hope this helps. Happy studying.
Flying Home for the Holidays
Does the airline you choose affect when you'll arrive at your destination? The dataset Arrival Times contains the difference
between actual and scheduled arrival time from 1000 randomly sampled December flights for two of the major North American
airlines, Delta Air Lines and United Air Lines. A negative difference indicates a flight arrived early. We are interested in testing
whether the average difference between actual and scheduled arrival time is different between the two airlines.
Answers
Answer:
i think its they are diffrent scheduleds
Step-by-step explanation:
( PLEASE I NEED HELP AASP!!)
Answers
Answer:
2/3 * 660
Step-by-step explanation:
If we convert 65% to a decimal, we get 0.65.
First, it will helpful to find exactly what is 65% of 668:
0.65 * 668 = 434.2 and thus 65% of 668 is exactly 434.2.
Similarly, if you convert 2/3 to a decimal, you get 0.66 repeating.
2/3 * 660 = 440 which is only 10.2 units larger than 434.2. Thus, 2/3 * 660 is the most accurate estimate of 65% of 668.
5) How many turkeys will be eaten on Thanksgiving Day?
First Guess = __________
Average Turkey Weight = 27 pounds
Number of Americans = 328 million
Amount needed per person = 1.5 pounds
Percent of Americans that eat turkey on Thanksgiving = 91%
Mathematical Estimate = __________ (Show your work)
Answers
Answer: mathmatical estimate 46 million
Step-by-step explanation:
456million first guess
I need help right now!!!
Answers
1. Figure STUV is congruent to Figure KLMN because rigid motions can be used to map Figure STUV onto Figure KLMN.
2. Figure STUV is also similar to Figure KLMN because rigid motions and/or dilations can be used to map Figure STUV onto Figure KLMN. The scale factor is 2.
What does it mean for figures to be congruent?When it is said that two figures are congruent, like the ones shown on the graph, This means that they have the same shape and size.
Similar figures have the same shape, but they may have different sizes and be located in different positions.
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PLEASE HELP
Two projectiles are shot vertically upward at the same instant.
Projectile A's height in feet, f(t), is represented in the table, where t is the seconds since the projectile was shot off
Projectile B's height at any time t is modeled by the function
h (t)=-16t^2 +96t
How do the times at which the projectiles begin their descents compare?
SEE PHOTO
Answers
Projectile B begins its descent 1 seconds before Projectile A does.
What is y-intercept?In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).
By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:
y-intercept = (0, 44).
Maximum height = (4, 300).
When t = 0, the y-intercept of Projectile B can be calculated as follows;
h(t) = -16t² + 96t
h(0) = -16(0)² + 96(0)
h(0) = 0.
For the maximum height, we have:
h(t) = -16t² + 96t
h'(t) = -32t + 96
32t = 96
t = 96/32
t = 3
Difference in time = 4 - 3
Difference in time = 1 seconds.
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4. Approximate the solution to this system of equations.
y = -2x+6
y = 4x - 1
Answers
The solution of the system of linear equations, is (1.167, 3.667).
Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,
y = -2x+6............(i)
y = 4x - 1.......(ii)
Equating the equations since the LHS is same,
-2x+6 = 4x-1
6x = 7
x = 1.167
Put x = 1.16 to find the value of y,
y = 4(1.16)-1
y = 4.66-1
y = 3.667
Therefore, the solution of the system of linear equations, is (1.167, 3.667).
You can also find the solution using the graphical method,
Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]
Hence, the solution of the system of linear equations, is (1.167, 3.667).
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Which point represents the unit rate?
On a coordinate plane, point A is (0, 1), point B is (1, 0), point C is (1, 0.5), and point D is (2, 1).
Answers
Answer:
Hey it’s C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
1. There are 15 students in the art club. They all purchased 4 paintbrushes at $3 each. How many paintbrushes did they purchase?
Answers
Answer:
60?
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
15x4 equals 60
The number of students the bus holds,s,is less than 40
Answers
The inequality that can be used to represent the number of students the bus holds,s, which is less than 40 is s < 40
How to write and solve inequality?An inequality is a statement that of two quantities one is specifically less than (or greater than) another. The symbols of inequality includes;
Greater than >Less than <Equal to =Greater than or equal to ≥Less than or equal to ≤Number of students the bus holds = ss,is less than 40
s < 40
Therefore, the phrase "the number of students the bus holds,s,is less than 40" in inequality is written as s < 40.
Complete question:
Write an inequality for situation : the number of students the bus holds, s, is less than 40 .
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A map of Utah is shown. Which area is closest to the area of Utah? Group of answer choices 1,240 square miles 87,150 square miles 94,500 square miles 119,000 square miles
Answers
Answer:
87150
Step-by-step explanation:
84,899 is the exact square miles, but 87,150 is closest
Using the graph below, what would the y-value (range) be for an x-value (domain) of -3?
Answers
By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9
what would the y-value be for an x-value of -3?Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".
So, if we want to find the value of y when we have x = -3, then:
We need to find the value x = -3 on the horizontal axis.Then we move vertically upwards (or downwards, depending on the case) until we reach the graphed equation.Once we reached the graphed equation, we move horizontally until we meet the vertical axis.The value at which we meet the horizontal axis gives the value in the range related to the value in the domain from which we started.Following these steps, you should be able to see that, when x = -3, the value of y is -9
So we conclude that the y-value for x = -3, is y = -9
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How much is 28 + 56 + 93
Answers
Answer:
177
Hope this helps
The mean age of 12 women in an office is 22 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?
Answers
The mean age (nearest year) of all the people in the office is 22.4.
How to find the mean age?Using this formula to find the mean age
Mean age = Sum of men and women age / Number of men and women
Let plug in the formula
Mean age = ( 12 women × 22 years old) + (3 men × 24 years old) / 12 women + 3 men
Mean age = 264 + 72 / 12 +3
Mean age = 336 /15
Mean age = 22.4
Therefore the mean age is 22.4.
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what is 1/9 that is a fraction but what is 3 divided by 1/9
Answers
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
i solved the problem step by step
you are going to keep the 1/9 flip the division to multiplication and then reciept the 3/1 to 1/3.
From there you are going to multiply 1/9 and 1/3 and you get 1/27.
then you reduce which is 27.
Ajar contains four blue marbles and two red marbles. Suppose you choose a marble at random, and do not replace it. Then you choose a second marble.
K Find the probability of the following event.
Both of the selected marbles are red.
The probability that both of the selected marbles are red is
(Round to three decimal places as needed.)
Answers
Answer:
1/15 or 0.0667
Step-by-step explanation:
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bardai
chatgpt
red marble on the first draw is 2/6, or 1/3
red marble on the second draw, given that the first marble was red, is 1/5
(1/3) * (1/5) = 1/15
Select the point that is a solution to the system of inequalities.
A- (2,6)
B- (0,8)
C-(-2,-4)
D-(4,2)
HELP PLEASE!!!!!
Answers
Explanation:
y < x^2 + 6
6 < 2^2 + 6
6 < 4 + 6
6 < 10 IT WORKS
y > x^2 - 4
6 > 2^2 - 4
6 > 4 - 4
6 > 0 IT WORKS
(Could I also get brainliest please?)
Answer:
its A
Step-by-step explanation:
Find the volume of a cone with a base diameter of 8 cm and a height of 6 cm.
Answers
The volume of a cone is equal to 13 times the area of the base πr2 π r 2 times the height h . Substitute the values of the radius r=6 and height h=8 into the formula to find the volume of the cone. Pi π is approximately equal to 3.14
factor and solve
x^2-4x=5
Answers
Let’s solve the equation x^2 - 4x = 5 by factoring:
First, we’ll move all the terms to one side of the equation:
x^2 - 4x - 5 = 0
Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:
(x - 5) (x + 1) = 0
Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:
x - 5 = 0 or x + 1 = 0
Solving each equation separately, we find that x = 5 or x = -1.
So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.
Find the area of the shaded religion.
Giving brainliest! <3
Answers
Answer: 240 feet
Step-by-step explanation:
What you could do is find the area of the whole thing. 12x25 is 300. Then, you can find the area of the white part, which is 60, because you multiply 12x5. then, you would subtract 60 to 300, which would get you to 240 feet.
Answer:
The answer is : 240cm² for the shaded part
The unshaded part is = 60cm²
The whole rectangle = 300cm²
Step-by-step explanation:
Area is = WL
W = width (while the) L= length
The Area = 25 × 12 = 300
The area of the full rectangle is = 300
The unshaded part is = 5 × 12 = 60
So the shaded part is = 300 - 60 = 240cm²
\(so \: the \: answer \: is \: = 240cm^{2} \)
At a gym you swim every four days run every five days and cycle every 12 days if you did all three activities they have and how many days will you do all three activities again
Answers
Answer:
Just find the LCM of all the days.
LCM of 4,5 and 12 is 60
Therefore, u will have to do all the activities again after 60 days.
at a road work cite, 20 cones are being placed along 50 feet feet of road. how many cones are placed along 35 feet of road
Answers
Answer:
if you want to find your answer human ten what is 50-35+20
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet. (a) Express the volume V of the box as a function of its width w. Determine the domain of V (w).
Answers
Answer:
1. volume = 40\(w^{2}\)(20 - w)
2. Domain of V (w) : (0, 20)
Step-by-step explanation:
1. Given that: l = 4w, h + G = 200 feet.
where: l is the length of the base, h is the height, G is the girth or perimeter of the rectangle, and w the width.
Girth = Perimeter = 2 (l + w)
= 2(4w + w)
= 10w
⇒ h + G = h + 10w = 200
h = 200 - 10w ............. 1
The volume of the box can be determined by;
volume = length × width × height
= l × w × h
= 4w × w × (200 - 10w)
= 40\(w^{2}\)(20 - w)
The volume of the box = 40\(w^{2}\)(20 - w)
2. From the equation of the volume, 4w > 0, w > 0 and 20 - w > 0 (w> 20)
To have the box, w should not be equal to 0 or 20.
Domain of V (w) : (0, 20)
Use Pascal's Triangle to expand (x^2-3y)^4
Answer
Answers
The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
What is Pascal's triangle?Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.
To expand the given expression (x²-3y)⁴ as per Pascal's triangle:
First, write down the fourth row of Pascal's Triangle as:
1 4 6 4 1
The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,
1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴
Simplify each term,
x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸
Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.
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Simplify the expression . 39*x / 13
Answers
Answer:
3x
Step-by-step explanation:
39*x / 13
39/13 * x
3*x
3x
Answer:
3x
Step-by-step explanation:
We are given the expression:
39*x /13
We want to simplify this expression. It can be simplified because both the numerator (top number) and denominator (bottom number) can be evenly divided by 13.
(39*x /13) / (13/13)
(39x/13) / 1
3x / 1
When the denominator is 1, we can simply eliminate the denominator and leave the numerator as our answer.
3x
The expression 39*x/13 can be simplified to 3x
If you can help thank you!
Answers
9514 1404 393
Answer:
C. 96 ft³
Step-by-step explanation:
The area of the triangular base is ...
A = 1/2bh
A = 1/2(6 ft)(8 ft) = 24 ft²
Then the volume is ...
V = 1/3Bh . . . . . where B is the base area and h is the height
V = 1/3(24 ft²)(12 ft) = 96 ft³ . . . . volume of pyramid
Directions: Select the correct answer from each drop-down menu. Consider the expression below. 12x - 6x + 5 + 4x
If the expression is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 7, then there would be solution(s).
If the expression is set equal to -10x + 5, then there would be solution(s).
Answers
Given statement solution is :- If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
If the expression 12x - 6x + 5 + 4x is set equal to 10x + 5, then there would be solution(s).
If the expression is set equal to 10x + 5, then there would be one solution.
If the expression is set equal to 10x + 7, then there would be no solution.
If the expression is set equal to -10x + 5, then there would be one solution.
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What is the quotient of 6 and 1/4
Answers
Answer:
24
Step-by-step explanation:
6÷1/4
We do skip flip multiply where we keep the first number the same and then flip the second fraction and finally multiply
6 · 4/1
24/1
24
Hopes this helps please mark brainliest
Answer:24
Step-by-step explanation:
Quotient of 6 and 1/4 means 6 divided by 1/4
Dividing by a number is the same as multiplying by its reciprocal, so 6 divided by 1/4 is the same as 6 X 4 which is 24.
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answers
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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Have a GREAT day!!!
Need help. not in college
