find the equation of a line given the point and slope below
Answers
The formula for finding the equation of a line given the point and slope is:
• y - y1 = m (x - x1)
Where,
• (x1,y1) is the coordinate point given
,• m is the slope
,• (x, y) other point on the line
And all what you have to do is replace the variables by the values given.
Let's work on an example:
Find the equation of the straight line that has slope m = 4 and passes through the point (–1, –6)
Using the formula, we have:
y - (-6) = 4 (x - (-1))
y + 6 = 4 (x + 1)
y + 6 = 4x + 4
y = 4x + 4 -6
y = 4x - 2
Related Questions
2/5 x 1/3 x 3/4 = ( 2/5 x 1/3) x ? And the answer please
Answers
3x2/5=6/5
4.2
6/15x5/15=30/15=2
?= 2.1 or 2 1/10
A population of beetles are growing according to a linear growth model. The initial population (week 0) is Po 4, and the population after 7 weeks is Pr = 67. Find an explicit formula for the beetle population after n weeks. Pn = After how many weeks will the beetle population reach 256? ___ weeks
Answers
The explicit formula for the beetle population after n weeks can be determined using the given data. The formula is Pn = 4 + (n - 0) * ((67 - 4) / (7 - 0)), where Pn represents the population after n weeks. It will take 28 weeks for the beetle population to reach 256.
The linear growth model assumes that the beetle population increases by a fixed amount each week. To find the explicit formula, we start by calculating the growth rate per week. We know that in 7 weeks, the population increased from 4 to 67. The change in population is 67 - 4 = 63, and the change in weeks is 7 - 0 = 7. Therefore, the growth rate per week is (67 - 4) / (7 - 0) = 9.
Using this growth rate, we can express the population after n weeks using the formula Pn = 4 + (n - 0) * 9. This simplifies to Pn = 4 + 9n. Now, to determine how many weeks it takes for the population to reach 256, we substitute Pn = 256 into the formula. Solving for n, we get 256 = 4 + 9n. By rearranging the equation, we find 9n = 252, and dividing both sides by 9 yields n = 28. Therefore, it will take 28 weeks for the beetle population to reach 256.
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A sweater is originally $25 and is on sale for $19. What is the percent off of the sweater?
Answers
Answer:
24%
Step-by-step explanation:
Answer:
24% off
Step-by-step explanation:
I found 25% off the sweater by doing 25 x .25 which gave me 6.25
If we subtract that from the original price, you get 18.75
We need $19, so we know the percentage has to be smaller than 25, but just barely.
Next I tried 25 x .24 which gave me 6.
25 - 6 = 19, so we know the percentage is 24%
PLEASE HELP ME!! I NEED THIS ONE IN 20 MINS!! Which point represents the solution to the system of equations below?
A. Point A
B. Point B
C. Point C
D. Point D
Answers
Step-by-step explanation:
that is letter C. ok makes help
if 45% of an item is $36 what is the original price
Answers
Answer:
$80 original price
Step-by-step explanation:
If 45% of an item is $36 what is the original price?
40% = 0.4
36/0.4 = $80 original price
Answer:
$80
Step-by-step explanation:
45/100=36/x
Cross multiply
45x=100(36)
45x=3600
/45. /45
x=80
Hopes this helps please mark brainliest
Arabic is an ex samplabusbbd
Naina!;;!?!!!?!! back; have a joke bc no bc b
Answers
The locus of point equidistant from three vertices of a triangle is……………
Answers
Answer:
circumcenter
Step-by-step explanation:
You want to know the name of the point equidistant from the vertices of a triangle.
CircumcircleThe circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.
The point equidistant from the vertices of a triangle is the circumcenter.
__
Additional comment
The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.
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como se resuelve
3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4
Answers
Answer
The missing value is 4/9
Noah picked 3 kg of cherries. Mai picked half as many cherries as Noah. How many total kg of cherries did Mal and Noah pick?
Answers
The fraction which represents the total kg of cherries that Noah and Mai have is (D) (1 + 1/2) * 3 kg.
What are fractions?An element of a whole is a fraction.
The number is represented mathematically as a quotient, where the numerator and denominator are split.
Both are integers in a simple fraction.
A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
So, we know that:
Noah = 3 kg
Mai = 3/2 kg
Which can be represented as:
(1 + 1/2) * 3
Therefore, the fraction which represents the total kg of cherries that Noah and Mai have is (D) (1 + 1/2) * 3 kg.
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In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find
the probability that she did not hit a boundary.
Answers
Answer: She has not hit the boundary 4/5 of the time.
Step-by-step explanation: 6/30 is 1/5. Subtract 1 - 1/5.
Oliver read for 450 minutes this month. His goal is to read for 10, percent more minutes next month. If Oliver meets his goal, how many minutes will he read in all during the two months? Thanks for whoever answers it
Answers
Answer:
945 pages
Step-by-step explanation:
You first multiply 450 and 1.10 to get 495. Then you add the answer to 450 to get 945.
Answer:
945 mins
Step-by-step explanation:
This month = 450 mins
10% more = 0.1 x 450 = 45 mins
Next month = 450 + 45 = 495 mins
Total = 450 + 495 = 945 mins
450 minutes this month.
10% more next one.
Total for 2 months.
1) Let's find 10% of 450 and add it to 450 to find out how much he reads next month.
450×0.1=45
450+45=495 minutes
2) Now that we know Oliver reads 495 minutes next month, to find the total, we should add the two.
495+450=First month plus second month=945
Oliver, in total, read 945 minutes during the two months.
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Counting jails and prisons, approximately how many citizens are incarcerated? a. 1 million b. 2.3 million c. 3 million d. 4.3 million.
Answers
In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.
It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.
These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.
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For any rational number (m)/(n) and any positive real number a, a^(-(m)/(n))means (1)/(a^(((m)/(n))))
Answers
For any rational number (m)/(n) and any positive real number a, the expression \(a^(-(m)/(n))\) is equivalent to (1)/(\(a^(((m)/(n)))\)).
Let's consider a positive real number a and a rational number (m)/(n), where m and n are integers. The expression \(a^(-(m)/(n))\)represents the exponentiation of a by the negation of the rational number (m)/(n). This can be rewritten as 1/(\(a^(((m)/(n)))\)), which means taking the reciprocal of a raised to the power of (m)/(n).
To understand why this equivalence holds, we can use the properties of exponents. When we raise a positive number a to the power of a rational number (m)/(n), it is equivalent to taking the n-th root of \(a^m\). In this case, since the exponent is negated, it becomes the negation of the n-th root of \(a^m\). Taking the reciprocal of this result gives us 1 divided by the n-th root of \(a^m\), which is precisely 1/(\(a^((m)/(n))\)).
Therefore, the expression\(a^(-(m)/(n))\) is equal to (1)/(\(a^(((m)/(n)))\)), and this equivalence holds for any rational number (m)/(n) and any positive real number a.
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Write the equation of a line with a slope of 3 and a y-intercept of 4. Do 5p
not use spaces in your response.
*
Answers
Answer:
f(x) = 4 + 3x
Step-by-step explanation:
If the graph of f(x) = 4* is shifted 6 units up, then what would be the equation of the new graph?
Og(x) = 4* - 6
Og(x) = 6(4)
Og(x) = -6(4)
Og(x) = 4x + 6
Answers
(This question may have more than one solution.) Let C be a fixed n × n matrix. Determine whether the following are linear
operators on R^X":
(a) L(A) = 1 - 1
(6) L(A) = 1 + 17
(c) L(1) = C1 + AC
(d) L(1) = C°1
(c) L(1) = 1?C
Answers
Functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.
a) L(A) = 1 - 1: This function is not a linear operator because it does not preserve scalar multiplication. Multiplying A by a scalar c would yield L(cA) = c - c, which is not equal to cL(A) = c(1 - 1) = 0.
b) L(A) = 1 + 17: Similar to the previous case, this function is not linear since it fails to preserve scalar multiplication. Multiplying A by a scalar c would result in L(cA) = c + 17, which is not equal to cL(A) = c(1 + 17) = c + 17c.
c) L(1) = C1 + AC: This function is a linear operator since it satisfies both the preservation of addition and scalar multiplication properties. Adding matrices A and B and multiplying the result by scalar c will yield L(A + B) = C(1) + AC + C(1) + BC = L(A) + L(B), and L(cA) = C(1) + cAC = cL(A).
d) L(1) = C°1: This function is a linear operator since it satisfies the properties of linearity. Addition and scalar multiplication are preserved, and L(cA) = C(0)1 = c(C(0)1) = cL(A).
e) L(1) = 1?C: This function is not a linear operator as it does not preserve scalar multiplication. Multiplying A by a scalar c would give L(cA) = 1?(cC), which is not equal to cL(A) = c(1?C).
In summary, functions (c) L(1) = C1 + AC and (d) L(1) = C°1 are linear operators on R^n, while functions (a), (b), and (e) do not satisfy the properties of linearity and therefore are not linear operators.
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Adam bought 6 dozen balloons and filled them all with air. The air cost him
$.25 each balloon to have filled. Then he divided the balloons between 12 children.
How much did he spend total on the air for the balloons?
Answers
Answer:
Adam spent in total 288
What is the slope of the line x=3
Answers
Answer: The slope is infinite
Step-by-step explanation:
An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis.
prove that lim xâ0 x^4 cos(2/x)=0
Answers
To prove that lim x → 0 x^4 cos(2/x)=0, we need to show that for any ε > 0, there exists a δ > 0 such that |x^4 cos(2/x)| < ε whenever 0 < |x| < δ.
First, we note that -1 <= cos(2/x) <= 1 for all x. Therefore, we have:
x^4 <= x^4 cos(2/x) <= x^4 for all x
Taking the limit as x approaches 0 of both sides, we get:
lim x â 0 x^4 <= lim x â 0 x^4 cos(2/x) <= lim x â 0 x^4
Using the fact that lim x â 0 x^4 = 0, we can conclude that:
0 <= lim x â 0 x^4 cos(2/x) <= 0
Thus, by the squeeze theorem, we have:
lim x â 0 x^4 cos(2/x) = 0
Therefore, we have shown that lim x â 0 x^4 cos(2/x) = 0.
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There is a population of 10 bacteria in a colony. If the number of bacteria doubles every 70
minutes, what will the population be 140 minutes from now?
Answers
Answer:
40
Step-by-step explanation:
trying to get a website that bypasses school content blocker if it works ill give brainliest
Answers
Answer:
Step-by-step explanation:
try iproxy from chrome
Answer:droneblocks
Step-by-step explanation:
Unprogrammable Programs Prove whether the programs described below can exist or not. A program P(F,x,y) that returns true if the program F outputs y when given x as input (i.e. F(x) = y) and false otherwise.
Answers
The program P(F, x, y) can exist, where P returns true if the program F outputs y when given x as input (i.e., F(x) = y) and false otherwise.
The program P(F, x, y) can exist, and it's known as a program that solves the Halting Problem. Here's a step-by-step explanation:
1. Define the program P(F, x, y) that takes input parameters F, x, and y.
2. The program P will execute the function F with the input x.
3. P will monitor the output of F when provided with x as input.
4. If F(x) equals y, P will return true, indicating that the program F outputs y when given x as input.
5. If F(x) does not equal y, P will return false, indicating that the program F does not output y when given x as input.
However, it's important to note that solving the Halting Problem is proven to be impossible for a Turing machine (a theoretical model of a computer).
This means that while we can define the program P(F, x, y) in principle, it's not possible to create a general solution that works for all possible combinations of programs F and inputs x and y.
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When the number k is multiplied by 5, the result is the same as when 5 is added to k. What is the value of k?
Answers
5k=k+5
-5k+k+5=0
-4K+5=0
-4K=-5
5/4=k
Answer:
k = 1\(\frac{1}{4}\) or 5/4
Step-by-step explanation:
5k = 5 + k
4k = 5
k = 5/4
Are my answers correct? Will give points if not correct can you solve please
Answers
The area of the smaller sector or minor sector is 125.66 yd².
The area of the larger sector or major sector is 326.73 yd².
What are the areas of the sector?The areas of the minor and major sectors is calculated by applying the following formulas follow;
Area of sector is given as;
A = (θ/360) x πr²
where;
r is the radius of the sectorθ is the angle of the sectorThe area of the smaller sector or minor sector is calculated as follows;
A = ( 100 / 360 ) x π ( 12 yd)²
A = 125.66 yd²
The area of the larger sector or major sector is calculated as follows;
θ = 360 - 100
θ = 260⁰
A = ( 260 / 360 ) x π ( 12 yd)²
A = 326.73 yd²
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Can you conclude the triangles are congruent? Justify your answer.
Answers
Answer:
Look at the explanation
Step-by-step explanation:
Yes, I can conclude that these triangles are congruent. All three sides and angles of one the triangle are equivalent(congruent) to the other corresponding triangle which indicates that both triangles are congruent.
Your Spanish club is selling T-shirts for $20 each. The club has $400 in its account left over
from last year and needs to have a total of $2000 for a trip. How many T-shirts does your club
need to sell to reach its goal of $2000.
Had:
T-shirts:
otal:
Answers
Answer:
80
Step-by-step explanation:
first you need to substract 400 from 2000, then you divide the remaining by 20
simplify r +5/2 + r-4 /3
Answers
Answer:
2r+7/6
Step-by-step explanation:
Answer:
2r +7/6
Step-by-step explanation:
See the steps below:)
In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
Answers
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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What makes 3 + 7 + 2 = __ + 2 true?
Answers
Answer:
10 :)
Step-by-step explanation:
3+7= 10+2 =12
10+2=12
easy
Answer:
3+7+2=__+2
so it's 10
.......................
at the ccny holiday party, you are told there are soft drinks in the cooler. the cooler contains 18 regular soft drinks and 12 diet soft drinks. suppose you quickly grab 3 soft drinks for you and your friends without looking. what is the probability you grab 2 diet soft drinks?
Answers
The Total Proability will be 297 / 1015
What is Probability?
Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
Solution:
Total Number of Regular Soft Drinks = 18
Total Number of Diet Soft Drinks = 12
Total Drinks = 18 + 12 = 30
Probability of selecting Diet Soft Drink in the first two attempt = 12/30 * 11/29 * 18/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the first and last attempt = 12/30 * 18/29 * 11/28 = 2376 / 24360
Probability of selecting Diet Soft Drink in the second and last attempt = 18/30 * 12/29 * 11/28 = 2376 / 24360
Total Probability = 3 * 2376 / 24360
Total Probability = 2376 / 8120
Total Probability = 297 / 1015
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