HELP PLS
What is the slope of the line that passes through (1, 4) and (-3, -3)?
Answers
Answer:
y=7/4x+9/4
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(1,4) and (-3,-3).
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
First, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called \(x_1\) and \(y_1\). Or,
Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called \(x_2\) and \(y_2\). Or,
Now, just plug the numbers into the formula for m above, like this:
m=
\(\frac{-3-4}{-3-1}\)
m= 7/4
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
y=7/4x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(1,4). When x of the line is 1, y of the line must be 4.
(-3,-3). When x of the line is -3, y of the line must be -3.
Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.
You can use either (x,y) point you want..the answer will be the same:
(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.
(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.
See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(1,4) and (-3,-3)
is
y=7/4x+9/4
Related Questions
The sampling distribution of a−a is approximated by a normal distribution if are all greater than or equal to 5 . n 1 p 2 ,p 2 (1−n 2 ),n 2 p 1 ,p 1 (1−n 1 ) n1p 1 ,p 1 (1−n 1 ),n 2 p 2 ,p 2 (1−n 2 ) n1p 2 ,n 1 (1−p2 ),n 2 p 1 ,n 2 (1−p 1 ) n1p2 ,n 1 (1−p 1 ),n 2 p 2 ,n 2 (1−p 2 )
Answers
The conditions for the sampling distribution of a difference in proportions to be approximated by a normal distribution are: n1 ≥ 5, n2 ≥ 5, n1p1 ≥ 5, n1p2 ≥ 5, n2p1 ≥ 5, n2p2 ≥ 5.
The formula provided seems to be a combination of various terms related to sample sizes (n1 and n2) and probabilities (p1 and p2). It appears to be related to the conditions for the approximation of the sampling distribution of a difference in proportions by a normal distribution.
In general, for the sampling distribution of a difference in proportions to be approximated by a normal distribution, the following conditions should be satisfied:
1. Both sample sizes (n1 and n2) are greater than or equal to 5.
2. For each sample, the product of the sample size (ni) and the probability of success (pi) is greater than or equal to 5 (n1p1 ≥ 5, n1p2 ≥ 5, n2p1 ≥ 5, n2p2 ≥ 5).
Please note that the formula provided is incomplete and lacks context or a specific question. If you have a specific question or need further clarification, please provide more details.
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The direct distances in kilometres between six different towns are given in the table below. A dash indicates that there is no direct route available and the journey must be made via other towns.
(a) What is the total distance for the shortest possible route from Anglemouth to Doncatry? [1] WORK NEEDS TO BE INCLUDED :)
Answers
The shortest total distance for the route from Anglemouth to Doncatry is 15 units.
How to identify the shortest distance from Anglemounth to Doncatry?On the table, we can see that there is a dash in the section of:
"Anglemouth to Doncatry"
So there is not a direct route, so we need to try another way.
If we go from Anglemouth to Covenham, we have a distance of 10 units.
If now we go from Covenham to Doncatry, we have a distance of 5 units.
Adding these two distances we get:
Total distance = 10 + 5 = 15 units.
This is also the shortest total distance between the two towns.
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Which measure of variability is used for nominal variables such as gender and political party? A. mode B. index of qualitative variation C. standard deviation D. stratified variance
Answers
The mode (A) is the measure of variability used for nominal variables such as gender and political party.
When dealing with nominal variables, which represent categories or labels rather than numerical values, the mode is the most appropriate measure of variability. The mode identifies the category that appears most frequently in the dataset, representing the most common or prevalent attribute among the respondents.
In the case of gender, for example, the mode would indicate whether the majority of the sample identifies as male or female. Similarly, for political party affiliation, the mode would identify the party that has the highest number of members within the dataset.
Unlike other measures such as the standard deviation (C) or stratified variance (D), which are more suitable for numerical variables, the mode is specifically designed to capture the distribution and central tendency of nominal variables. It provides valuable insight into the dominant category within the dataset, highlighting the most frequent attribute among the observations.
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what is the formula for area
Answers
area of rectangle = length×breadth
area of square = side×side
Hurry help me asap!!!!!!!!!!!!!!!!!!!!
Answers
The equation so the system has no solution is (d) y = 3/2x + 8
How to determine the equationFrom the question, we have the following parameters that can be used in our computation:
y = 3/2x - 4
For a system of linear equation to have no solution, the equations must have the same slope but different intercepts
In this case, y = 3/2x + 8 has the same slope and different intercept with y = 3/2x - 4
Hence, the equation is (d)
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Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
\( {y}^{2} - 6y - 2x + 19 = 0\)
2.
\( {x}^{2} + 4x + 4y + 16 = 0\)
Answers
Given:
y² - 6y - 2x + 19 = 0This is a horizontal parabola.
Canonical form of horizontal parabola is:
4a(x - h) = (y - k)², where (h, k) is vertexFocus is:
F(h + a, k)Directrix is:
x = h - aConvert the equation:
y² - 6y - 2x + 19 = 0y² - 6y + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)We got:
h = 5, k = 3, a = 1/2Focus is:
F(5 + 1/2, 3) = F(5.5, 3)Directrix is:
x = 5 - 1/2 = 4.5#2Given:
x² +4x + 4y + 16 = 0This is a vertical parabola.
Canonical form of vertical parabola is:
4a(y - k) = (x - h)², where (h, k) is vertexFocus is:
(h, k + a)Directrix is:
y = k - aConvert the equation:
x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)We got:
h = - 2, k = -3, a = - 1Focus is:
F(-2, -3 - 1) = F(-2, - 4)Directrix is:
y = -3 - (-1) = - 2
while archaic, the most flexible method of land description, capable of describing even the most irregular of parcels, can be described as a very precise, compass-directed walk around the boundary of a parcel. this method is commonly referred to as question 2 options: metes and bounds. subdivision plat lot and block number. government rectangular survey. tax parcel number. street address.
Answers
The correct answer is option (A). The answer is metes and bounds.
Given that,
Despite being antiquated, the most adaptable method of defining land, capable of characterizing even the most atypical of parcels, may be summed up as a very exact, compass-directed stroll around a parcel's boundaries.
To find : This approach is frequently known as ?
Metes and bounds are limits of piece of a land that may be located on its natural features. Metes and bounds markers are frequently employed in a land's "legal description." Legal description, which is recorded with the land's deed, is the geographical description of a piece of land that pinpoints its exact location.
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We would like to test the hypotheses H0: μ = 130, HA: μ > 130. We found t = 2.73 with 5 degrees of freedom. What is the appropriate p-value.?
Answers
The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.
What is p-value?Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.
Given:
Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)
Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)
T-statistic: t = 2.73
Degrees οf freedοm: df = 5
Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.
Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.
Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.
Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).
Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:
p-value = 0.0257 / 2 = 0.01285
Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.
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For f(x) =2x, find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. Simplify the sum and take the limit as n--> infinity to calculate the area under the curve over [2,5]
please show all of your work as be as descriptive as you can I appreciate your help thank you!
Answers
The area under the curve over [2,5] is 24.
Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.
Let us consider n subintervals. Therefore, width of each subinterval would be:
$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty }{ R } \\&= \lim _{ n\rightarrow \infty }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$
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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.
Therefore, the area under the curve over [2,5] is 21.
From the given data, we can see that the width of the interval is:
Δx = (5 - 2) / n
= 3/n
The endpoints of the subintervals are:
[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]
Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5
The formula for the Riemann sum is:
S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx
Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:
Δx = (5 - 2) / n
= 3/n
Therefore,
Δx = 3/3
= 1
So, the subintervals are: [2, 3], [3, 4], [4, 5]
The right endpoints are:3, 4, 5. The formula for the Riemann sum is:
S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx
Here, Δx is 1, f(x) is 2x
∴ f(c1) = 2(3)
= 6,
f(c2) = 2(4)
= 8, and
f(c3) = 2(5)
= 10
∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx
= 6(1) + 8(1) + 10(1)
= 6 + 8 + 10
= 24
Therefore, the Riemann sum is 24.
To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.
∴ Area = ∫2^5f(x)dx
= ∫2^52xdx
= [x^2]2^5
= 25 - 4
= 21
Therefore, the area under the curve over [2,5] is 21.
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Find the value of x in the triangle shown below choose 1 answer
Answers
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
Azel has 10 apples and Emily has 5 apples
Where does emily live?
A. Port geese 2546
B. In Atlanta
C. Nowhere
D. All the above
Answers
Answer: I think all of the above
Step-by-step explanation:maybe there traveling so…
PLS HELP i have to finish this tonight
Answers
Answer:
D.480 Ft/S
Step-by-step explanation:
um, Just ask your teacher if you don't understand:P
In performing hypothesis tests about the population mean, if the population standard deviation is not known, a t test can be used to test the mean if _________________.
a. n is small
b. the sample is random
c. the population mean is known
d. the population is normally distributed
e. the population is chi-square distributed.
Answers
In performing hypothesis tests about the population mean, a t-test can be used if the population standard deviation is not known and the sample is random.
The conditions of a random sample and unknown population standard deviation are necessary for the t-test to be applicable.
When conducting hypothesis tests about the population mean, if the population standard deviation is unknown, the t-test is appropriate to use. The t-test is specifically designed for situations where the population standard deviation is not known and must be estimated from the sample. By using the sample data, the t-test calculates a test statistic called the t-value, which is used to determine the statistical significance of the mean difference.
However, it is important to note that in addition to the unknown population standard deviation, the sample must also be random for the t-test to be valid. Random sampling helps ensure that the sample is representative of the population, which is crucial for making accurate inferences. Therefore, options (b) "the sample is random" and (d) "the population is normally distributed" are the correct conditions for using a t-test when the population standard deviation is unknown.
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round the following to the nearest tenth of 15.28
Answers
Answer:
15.3
Step-by-step explanation:
the 8 in the hundredths place is greater so the 2 in the tenths place has to go up one to be 3 so 15.3
10 4/5 +(8 3/4 - 6 1/2
Answers
Answer:
13.05
Step-by-step explanation:
(36)/(125) in fraction
Answer:
13.05
Step-by-step explanation:
PLEASE I NEED HELP PLEASE I NEED THIS STEP BY STEP PLEASE JUST FOR B AND C PLEASE I'LL GIVE BRAINLIEST PLEASE
Answers
Answer: \(= (\frac{5\sqrt{3} }{3x })\)
Step-by-step explanation:
I can't see B but I will do C
C)
\(\frac{\sqrt{5} }{\sqrt{3x^{2} } }\) >the x² can come out because √x² = x
\(=\frac{5}{x\sqrt{3} }\) >You cant have a root on bottom so multiply by \(\frac{\sqrt{3} }{\sqrt{3} }\)
\(=\frac{5}{x\sqrt{3} } (\frac{\sqrt{3} }{\sqrt{3} })\)
\(= (\frac{5\sqrt{3} }{3x })\) >This is your simplified answer
Name the Property p + (u + t) = (t + u) + p
Answers
Answer:
Associative Property
Step-by-step explanation:
The Associative Property states that (a+b)+c=a+(b+c). The only thing that differs is the variables.
Let U (1, 2, 3, 4, 5, 6, 7). List all the members of the given set. (Enter your answers as a comma-separated list. Enter EMPTY for the empty set)
(x|x is less than 4) (x|x is greater than 4)
Answers
Let's consider the given set U(1, 2, 3, 4, 5, 6, 7) and determine the members of each subset based on the given conditions:
Subset 1: (x | x is less than 4)
This subset includes all elements from U that are less than 4. Examining the elements in U, we find that the elements 1, 2, and 3 satisfy this condition. Therefore, the members of this subset are 1, 2, and 3.
Subset 2: (x | x is greater than 4)
This subset includes all elements from U that are greater than 4. By examining the elements in U, we find that the elements 5, 6, and 7 satisfy this condition. Therefore, the members of this subset are 5, 6, and 7.
To summarize, the members of the given subsets are as follows:
Subset 1: 1, 2, 3
Subset 2: 5, 6, 7
It's important to note that the empty set is not applicable in this case since both subsets contain elements.
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Segment VY is a midsegment of trapezoid FEDC. Find x.
Answers
Answer:
x = 12
Step-by-step explanation:
The midsegment VY is half the sum of the parallel bases , that is
VY = \(\frac{EF+CD}{2}\) , then
3x + 18 = \(\frac{1}{2}\) (x + 96) ← multiply both sides by 2 to clear the fraction
6x + 36 = x + 96 ( subtract x from both sides )
5x + 36 = 96 ( subtract 36 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
I NEED HELP WITH THIS QUESTION!!
Answers
Answer:
- 1
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
Given y = 4x - 5 with slope 4
y = - \(\frac{1}{4}\) x - 5 with slope - \(\frac{1}{4}\) then
4 × - \(\frac{1}{4}\) = - 1 proving the lines are perpendicular
WILL SOMEONE HELP PLZ ANSWER THESE 3 QUESTIONS*
The number line compares the numbers –6, 3, and 5.
1. Write an inequality that compares –6 and 3. Justify your inequality using the number line.
2. Write an inequality that compares 3 and 5.
3. Write an inequality that compares –6, 3, and 5.
Answers
#1
-6-3-5
Hence inequality will be
\(\\ \sf\longmapsto -6\leqslant 5\)
#2.
3<5
But we need inequality
\(\\ \sf\longmapsto 3\leqslant 5\)
#3
The inequality given by
\(\\ \sf\longmapsto -6\leqslant 3\leqslant 5\)
Answer:
1. Inequality
\( \hookrightarrow \: { \rm{ - 6 < 0 < 3}}\)
2. Inequality
\( \hookrightarrow \: { \rm{3 < 0 < 5}}\)
3. Inequality
\( \hookrightarrow \: { \rm{ - 6 < 0 < 3 < 5}}\)
what is the value of x in the equation 0.7x - 1.4 = -3.5
Answers
Answer: x=-3
Step-by-step explanation:
Answer:
I believe x=3
Step-by-step explanation:
0.7x- 1.4 = -3.5
+1.4. +1.4
0.7x = 2.1
divide both sides by 0.7 x= 3
here i need to know the solution set
Answers
Answer:
\(x {}^{2} - y { }^{2} =\)
What is???????????????
Answers
Answer:
the product should be \(-10 \frac{5}{16}\)
Step-by-step explanation:
just multiply 2, and 1/16 by -5.
Predict the sum -2+2. Explain your prediction and check it using the number line.
Answers
The required prediction the sum of -2 and 2 is zero (0).
-2 is two units to the left of zero on the number line, while 2 is two units to the right of zero. So, when we add -2 and 2, the negative value cancels out the positive value, and we are left with zero.
To check this using the number line, we can start at zero and move two units to the left to land on -2.
From there, we can move two units to the right to land on 2. Finally, if we add -2 and 2, we will end up back at zero.
In summary, the sum of -2 and 2 is zero because they cancel each other out. We can confirm this using the number line by starting at zero, moving two units to the left to land on -2, moving two units to the right to land on 2, and finally adding them together to arrive back at zero.
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Find the solution of the system of equations.
3x-4y=−29
6x+5y=−32
Answers
The solution to the system of equation is (-7, 2)
System of equationsThese are equations that contains several equations and unknown
Given the system of equations
3x-4y=−29 ......... * 2
6x+5y=−32 ........ * 1
______________
6x-8y=−58
6x+5y=−32
Subtract to have
-8y-5y = -58 + 32
-13y = -26
y = 2
Substitute the value of y into the equation 2 to have:
6x. +10 = -32
6x = -42
x = -7
Hence the solution to the system of equation is (-7, 2)
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9.8-7.5 how do I solve for this
Answers
Answer:
Its simple the anwser is 2.3
Step-by-step explanation:
9.8
-7.5=
2.3
The graph plots for equations, a,b,c, and d: which pair of equations have (4,8) as its solution?
Answers
D and B
Explanation:
when you look at that point two lines pass through it and those two lines that pass through it are b and d.
During a sale, a dress is marked down from a selling price of $80 to $72.
What is the percent mark down?
Answers
Answer:
10%
Step-by-step explanation:
80-10%= 72
Hope this helps!
Answer:
10%
Step-by-step explanation:
$80 to $72 is a difference of $8.00. 10% of $80 is the $8.00
Wendy and two friends went out to eat and decided they would split the bill. The total bill was 35.40. They also decided to leave a 20% tip. What is the price that each person paid?
Answers
Answer:
14.16
Step-by-step explanation:
we first calculate the total amount of money paid, which is 35.40 plus 20%, we use this calculation:
35.40×1.20 = 42.48
now, this amount is split to 3 people, so:
42.48/3 = 14.16
and that is our answer