find the equation of the linethe line passes through the points (5,2) and (-4,-4)
Answers
Answer:
\(y = \frac{2}{3}x - \frac{4}{3} \)
Step-by-step explanation:
first find the slope using the above points then use the slope formula to calculate the slope
\(m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} \)
substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b
\(y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} \)
substitute the slope and the value for b into the equation to get the answer
\(y = \frac{2}{3} x - \frac{4}{3} \)
Related Questions
What can you conclude about the color of the l-bow roni box? helpppppppp
Answers
Assuming that the p-value of the color of L-Bow Roni box is below the significance level, the result would be statistically significant and vice-versa.
What is a confidence interval?A confidence interval simply refers to a range of estimated values that defines the probability that a population parameter would fall or lie within it.
In this scenario, we can infer and logically conclude that the p-value of the color of L-Bow Roni box falls below the significance level. Consequently, the result obtained would be statistically significant.
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I’ll mark you brainlist help
Answers
This is the answer
y = -4x - 2
Work: The line crosses the y-axis at -2 making this the y-intercept. To find the slope, you need to take two points from the graph (you already have (0,-2) from the intercept) and put them in the equation:
y(sub 2) - y(sub 1) all over x (sub 2) over x (sub 1). Sub 1 and two just means the order of the points. so if you took the points (-1,2) and (0,-2), the equation would look like:
(-2-2)/(0-(-1)). This gives you -4/1 which is equal to -4. So now you have your y intercept (-2) and your slope (-4) so you put it into slope - intercept form:
y=mx + b where m is slope and b is y-intercept
Answer:
The answer to your question is -4x -2
Step-by-step explanation:
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with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?
Answers
If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.
Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.
Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.
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4x^2+16x-1
What’s the answer?
Answers
Answer:
Step-by-step explanation:
You have a balance of 17,426 on your credit card. Your minimum monthly payment is 461 . If your interest rate is 15.5%, how many years will it take to pay off your card assuming you don't add any debt? Enter your response to two decimal places (ex: 1.23)
Answers
With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.
To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.
To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).
We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.
In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).
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The school is located at (0, 0) on a coordinate plane. Mary lives 2 miles north of the school. Her classmate Roger lives 3 miles west of the school. What is the
distance between Mary's and Roger's houses? Round your answer to the nearest tenth of a mile.
Answers
Answer:
Step-by-step explanation:
that would be 5 miles bc 3+2 is 5
The distance between Mary's and Roger's houses is approximately 3.6 miles.
What are coordinates?
A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
We can use the Pythagorean theorem to find the distance between Mary's and Roger's houses since they form a right triangle with the school at the vertex:
Let A be the school (0, 0), B be Mary's house (0, 2), and C be Roger's house (-3, 0).
Then the length of AB is 2 miles and the length of AC is 3 miles.
The distance between Mary's and Roger's houses is the length of the hypotenuse BC.
Using the Pythagorean theorem, we have\(BC^2 = AB^2 + AC^2 = 2^2 + 3^2 = 13.\)
Taking the square root of both sides, we get\(BC = \sqrt{(13)} = 3.6\) miles.
Therefore, Between Mary and Roger's homes, there are roughly 3.6 miles.
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Which statements are not true and true?
statement 1: the sum of two negative integers is positive
Statement 2: the product of two negative integers is positive
Statement 3: the difference of two negative integers is positive
Statement 4: the quotient of two negative integers is positive
For both statements that are not true at all, provide one counter example for each statement that proves the statement can be false.
Answers
Answer: Statements 1, 3, and 4 are not true. The sum, difference, and quotient of two negative integers can be positive, negative, or zero, depending on the values of the two integers. For example, the sum of -5 and -7 is -12, which is a negative number. The difference of -5 and -7 is 2, which is a positive number. The quotient of -5 and -7 is -0.7142857142857143, which is a negative number.
Only statement 2 is true. The product of two negative integers is always a positive number. For example, the product of -5 and -7 is 35, which is a positive number. This is because the two negative signs "cancel out" when multiplying two numbers, resulting in a positive product.
Girrls and boys plsss i need help like frl:)
Answers
D- Most babysit because it pays more per-hour.
The reason this is the correct answer is because the question said which is NOT a valid response. This one is not because it didnt tell you how much they get paid per-hour so its incorrect.
Hope this helps!
Have a great day!
- Hailey
1/4(2n−8)+1/3n=1/2(n+6)
Answers
Answer:
N=15
Step-by-step explanation:
Simplify 1/4 (2n-8)
2n-8/4+1/4n=1/2(n+6)
Factor out the common term 2.
2(n-4)/4+1/3n=1/2(n+6)
Simplify 2(n-4)/4 to n-4/2
n-4/2+n/3=1/2(n+6)
Simplify 1/3n to n/3
n-4/2+n/3=1/2(n+6)
Simplify 1/2(n+6) to n+6/2
n-4/2+n/3=n+6/2
Multiply both sides by 6 (the LCM of 2, 3,).
3(n−4)+2n=3(n+6)
7 Expand.
3n−12+2n=3n+18
Simplify 3n-12+2n to 5n-12
5n−12=3n+18
Add 12 to both sides.
5n=3n+18+12
Simplify 3n+18+12 to 3n+30
5n=3n+30
Subtract 3n from both sides.
5n-3n=30
Simplify 5n-3n to 2n.
2n=30
Divide both sides by 22
n= 30/2
Simplify 30/2 to 15.
n=15
n=15
Brainliest
Answer:
n = 15
Explanation :
1/4(2n-8) + 1/3n = 1/2(n+6) Distribute
1/2n -2 + 1/3n = 1/2(n+6) Combine like terms
5/6n -2 = 1/2(n+6) Distribute
5/6n -2 = 1/2n +3 Pass 1/2n to the other side
5/6n - 1/2n -2 = 3 Combine like terms
1/3n -2 = 3 Pass -2 to the other side
1/3n = 3+2 Combine like terms
1/3n = 5 Divide both sides by 1/3
n = 15 and then you will get your answer .
The position of a car is given, for positive t, by x = 9t - 3t3. x is in meters and t is in seconds. when (in seconds) it its velocity zero?
Answers
When the velocity of the car is zero. Then the time will be 1 second.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The position of a car is given, for positive t, by x = 9t - 3t³. x is in meters and t is in seconds.
We know that velocity is the rate of change of displacement. Then we have
v = dx / dt
v = 9 - 9t²
When the velocity of the car is zero. Then the time will be
v = 0
9 - 9t² = 0
1 - t² = 0
(1 - t)(1 + t) = 0
t = 1, -1
When the velocity of the car is zero. Then the time will be 1 second.
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What is 3x + 2 = 4x - 1
Answers
Answer:
3 = x
Step-by-step explanation:
To simplify this equation, combine like terms:
3 = x
Evaluate the following expression.
(2+6×2+2−4)×2
Answers
Answer:
24
Step-by-step explanation:
PEMDAS.
When 16 is added to a number, it gave Rony the number 12. What will be the number that was added to 16?
Answers
Answer:
- 4
Step-by-step explanation:
let the number be n , then
16 + n = 12 ( subtract 16 from both sides )
n = - 4
Answer:
\(\displaystyle -4\)
Step-by-step explanation:
Use Deduction to figure this out:
\(\displaystyle \boxed{-4} = -16 + 12\)
I am joyous to assist you at any time.
a box of 24 frozen waffles is $4.77. what is the price per waffle?
Answers
Answer:
siudsckjznc
Step-by-step explanation:
h(x) = 17 + x/6 h(-18) =
Answers
Answer:
can we explain it
Step-by-step explanation:
evaluate given: x=2 & y=6 8-4x+5y
Answers
Answer:
30
Step-by-step explanation:
We are given the expression:
\(8-4x+5y\)
and asked to evaluate given x=2 and y=6.
Therefore, we must substitute 2 for x and 6 for y.
\(8-4(2)+5(6)\)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Multiply 4 and 2.
4*2= 8
\(8-8+5(6)\)
Multiply 5 and 6.
5*6=30
\(8-8+30\)
Subtract 8 from 8.
8-8=0
\(0+30\)
Add 0 and 30.
\(30\)
The expression 8-4x+5y when evaluated at x=2 and y=6 is equal to 30.
A total of 16 guests attended a birthday party. Three friends stayed after the party to help clean up. How many left when the party ended?
Answers
16 are there 3 stayed after 13 lefted because the 3 friends stayed
Choose any 2 states of India. Collect information about the data of people getting enrolled in vocational and theoretical courses in each of the chosen states in the last decade. Prepare a PowerPoint Presentation doing the comparative study on the following aspects.
● Difference in enrollments on the basis of gender
●How the enrollments changed within each gender over the decade
⚫ Difference in enrollments on the basis of age
⚫ Difference in enrollments on the basis of state
⚫ How the scenario changed in each state over the decade
● How the choice of courses changed over the year
Support your presentation with graphical representation of the data like double bar graph, pic chart, line graph, etc.
Answers
Comparison of Enrollments in Vocational and Theoretical Courses in India
States: Uttar Pradesh and Maharashtra
How to explain the informationIn Uttar Pradesh, there were more male enrollments in vocational courses than female enrollments in all years. The difference was more pronounced in the early years, but it has narrowed over time. In 2010, there were 2.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.75.
In Maharashtra, the difference between male and female enrollments in vocational courses was smaller than in Uttar Pradesh. In 2010, there were 1.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.25.
Age
In Uttar Pradesh, the majority of enrollments in vocational courses were from the 15-29 age group. In Maharashtra, the majority of enrollments in vocational courses were also from the 15-29 age group.
The data also shows that there are some differences in the enrollment patterns between the two states. In Uttar Pradesh, the majority of enrollments are from the 15-29 age group, and the most popular vocational courses are in the areas of IT, engineering, and healthcare. In Maharashtra, the majority of enrollments are also from the 15-29 age group, but the most popular vocational courses are in the areas of IT, hospitality, and manufacturing.
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Jessica bought a new television. The deal was attractive to her because she will be required to make interest-only payments on the $1,800 purchase for the first year. Assuming a 20% annual interest rate, how much interest will she pay over the course of the first year?
Answers
Answer:
30
Step-by-step explanation:
find the difference and round to the nearest hundreths if necessary : 6.04 / 2.4
Answers
Answer:
2.52
Step-by-step explanation:
The function g(x) is graphed below. According to the graph, what is the value of g(4)?
Answers
Answer:
g(4) = 5
Step-by-step explanation:
g(4) means what is the value of y when x = 4
locate x = 4 on the x- axis , go vertically up to meet the graph at (4, 5 ), so
g(4) = 5
What is the 100th digit of pi?what is the hundredth digit of pi? this would include the 3 in the beginning.
Answers
100th digit of the pi is 7
Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,
The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.
Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.
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A skateboarding ramp is 12 in. high and rises at an angle of 11°. How long is the base of the ramp? Round to the nearest inch.
Answers
Answer:
62 inches
Step-by-step explanation:
The side opposite the angle is given, and the length of the side adjacent to the angle is asked for. The appropriate trig relation is ...
Tan = Opposite/Adjacent
tan(11°) = (12 in)/(base length)
Solving for base length gives ...
base length = (12 in)/tan(11°) ≈ 61.73 in
The base of the ramp is about 62 inches long.
Explain how to use addition with negative numbers.
Answers
Step-by-step explanation:
Adding A Negative Number
Now let's see what adding and subtracting negative numbers looks like:
add subtract +- goes down
We can add weights (we are adding negative values)
the basket gets pulled downwards (negative)
Example: 6 + (−3) = 3
is really saying
"Positive 6 plus Negative 3 equals Positive 3"
We could write it as (+6) + (−3) = (+3)
show the work and solve for c. 3x+c is equivalent to 3(x+7). Find the value of c
I need help with this
Answers
The value of c that makes 3x + c equivalent to 3(x + 7) is 21.
What is equation?A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions. The equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14, for instance.
We are given that 3x + c is equivalent to 3(x + 7).
To find the value of c, we can expand the right side of the equation using the distributive property:
3(x + 7) = 3x + 21
So we have the equation:
3x + c = 3x + 21
Subtracting 3x from both sides, we get:
c = 21
Therefore, the value of c that makes 3x + c equivalent to 3(x + 7) is 21.
Answer: c = 21
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help!! What is the vertex?
(A) (-5,-9)
(B) (-8,0)
(C) (-9,-5)
(D) (-2,0)
Answers
The vertex of the quadratic equation in the graph is (-5, -9), so the correct option is A.
What is the vertex of the quadratic equation?Here we have the graph of a quadratic equation and we want to find the vertex.
The vertex of a quadratic equation is the lowest/highest point of it. In the graph we can see that we have a minimum (where the curvature changes).
To identify the coordinates we can use the numbers in the coordinate axis of the graph.
We can see that the x-value is -5, and the y-value is -9.
Thus the vertex is at (-5,-9), which means that the correct option is A.
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can yall help me with this math question
Answers
Answer: B, A, C
Step-by-step explanation:
y - 13 > -85
y > -72
Since y is greater than -72, graph B is the correct answer for the first inequality
13 < -85 + y
98 < y
Since y is greater than 98, graph A is the correct answer for the second inequality
y + 13 < -85
y < -98
Since y is less than -98, graph C is the correct answer for the last inequality.
HELP HURRY PLS
What is the equation of this line?
y =2/3x
y=3/2x
y= -2/3x
y= -3/2x
Answers
Answer:
y = 2/3x
Step-by-step explanation:
Henry is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges $118 and allows unlimited mileage. Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven. For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m.
Answers
Answer:
B.
Step-by-step explanation:
step by step explanation
Answer:
after 70 miles, company B will charge Henry more.
Step-by-step explanation:
at 70 miles both companies will charge the same price
118 = 55 + 0.9m
m = (118 - 55) divided by 0.9 = 70
what is the answer to 45c+10b
Answers
Answer:
5 (9c +2b)
Step-by-step explanation: