Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3
Answers
First, we must determine b using slope-intercept form*, the given point, and the given slope.
\(-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b\)
Second, we need to set up the equation of the line in slope-intercept form.
\(y = -\frac{1}{3}x - 1\)
Third, we convert the above equation to STANDARD FORM**.
\(y = -\frac{1}{3}x - 1\\\\\frac{1}{3}x + y = -1\)
We now have our equation: \(\frac{1}{3}x - y = -1\)
*Slope-intercept form: y = mx + b
**Standard form: ax + by = c
Related Questions
which triangles are congruent?
Answers
Answer:
so the answer should be g if not im sorry
Step-by-step explanation:
Suppose P is a predicate over integers, and you would like to prove that for all integers n, P(n) is true. Which of the following are valid proof approaches? Select all correct choices. Select one or more: O a. Show P(1) and that Vk E Z P(k) + P(k + 1) O b. Show P(0), P(1),P(-1) and that Vk E Z P(k) → P(k + 1) c. Show P(0) and that WK EN P(k) → (P(k + 1) ^ P(k – 1)) O d. Show P(0), P(1), P(-1) and that Vk E Z P(k) → P(k – 1) O e. Show P(0), P(1),P(-1) and that Vk e Z+ P(k) → P(k + 1) and Vk e Z+ P(-k) → P(-(k + 1)) O f. Show P(O), P(1) and that Vk e Z+ P(k) → P(-k)
Answers
The valid proof approaches are: b. Show P(0), P(1),P(-1) and that Vk E Z P(k) → P(k + 1) and e. Show P(0), P(1),P(-1) and that Vk e Z+ P(k) → P(k + 1) and Vk e Z+ P(-k) → P(-(k + 1))
Approach a is invalid because it only shows that P holds for some integers, but not for all integers.
Approach c is invalid because it only shows that P holds for non-negative integers, but not necessarily for negative integers.
Approach d is invalid because it only shows that P holds for non-negative integers and negative even integers, but not necessarily for negative odd integers.
Approach f is invalid because it only shows that P(0) and P(1) imply P(-k) for all positive integers k, but not necessarily for all integers.
Approach b is a valid proof approach because it establishes a base case for P(0), and then shows that P holds for P(1) and P(-1), and that if P holds for an arbitrary integer k, then it also holds for k+1.
Approach e is also a valid proof approach because it establishes a base case for P(0), and then shows that P holds for P(1), P(-1), and that if P holds for a positive integer k, then it also holds for k+1, and if it holds for a negative integer -k, then it also holds for -(k+1).
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This list shows the items in your family’s monthly budget. Which items are fixed expenses? a) Rent payment, gas bill, student loan payment, and credit card payment b) Electric bill, water and sewage bill, credit card payment, and gas bill c) Rent payment, car payment, student loan payment, and car insurance payment d) Electric bill, credit card payment, student loan payment, and car payment (can you please explain it too, thank you!)
Answers
Answer:
C
Step-by-step explanation:
Hope this is right. Let me know if not! Have a nice day :)
Answer:
C
Step-by-step explanation:
i got it right
scale drawings
the scale drawing car length
is 3.5 cm. if the scale is
1 cm:4.5 ft, what is the actual car
stion length?
length?
Answers
Answer:
13•5ft
Step-by-step explanation:
1cm = 4.5ft
3cm = x
cross multiply
x= 3×4•5
:- x = 13•5ft
what is the following is a solution for x / 4 >10
Answers
Given the inequality;
\(\frac{x}{4}>10\)Multiplying both sides by 4, we have;
\(\begin{gathered} \frac{x}{4}\times4=10\times4 \\ x>40 \end{gathered}\)so, the range of solutions of x are numbers that are greater than 40 (40 is not included).
From the options the only possible solution is;
\(x=47\)Because 47 is greater t
How do you know if a curve is positive or negative?
Answers
Positive curve graphs will be upward-sloping.
Negative curve graphs will be downward-sloping.
Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.
In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
Enola works at a grocery store and earns $15.75/hour at the end of the month the pay check enola receive total $693 How many hours did she works this past month
Answers
Answer:
44 hours
Step-by-step explanation:
15.75 = 1 hour
693/15.75= she worked 44 hours
please give me a brainliest!!
PLEASE FIND THE ANSWER FAST!!!!!!!!!!!!!!
Answers
Answer:
P = 2( l + b )
=>130 = 2 (l + 30)
=>130 = 2l + 2*60
=> 130 = 2l + 60
=> 130 - 60 = 2l
=> 70 = 2l
=> 70/2 = l
=> 35 = l
Length = 35cm
Area = l * b
=> A = 35 * 30
=> A = 1050
Therefore area = 1050\(cm^{2}\)
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
l=35 and A=1050
Step-by-step explanation:
the formula of rectangle to calculation perimeter is p=2(l+b)
130/2=l+b
l=35 and
A=l*b
a= 35*30=1050
suppose you are investigating which hamburger condiment is most popular in a school cafeteria which type of display would be most useful for communicating your results.
A. boxplot
B. histogram
C. bar graph
D.line graph
Answers
A cylinder fitted with a movable piston contains ideal gas at 27 degrees C, pressure 0.50*10^5 Pa, and volume 1.25 m. What will be the final temperature if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa?
Answers
The final temperature is calculated to be 41.8 degrees Celcius if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa
The final temperature can be calculated by using the combined gas law as follows;
\(\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }\)
Here \(P_{1}\) and \(P_{2}\) represent the initial and final pressure respectively,
\(V_{1}\) and \(V_{2}\) represent the initial and final volume respectively
\(T_{1}\) and \(T_{2}\) represent the initial and final temperature respectively
Converting \(T_{1}\) to kelvin as follows;
\(T_{1}\) = 27 degrees Celcius = 27 + 273 = 300 K
Now the final temperature can be determined by substituting the values in this equation of the combined gas law as follows;
(0.50×10^5)(1.25) / 300 = (0.82×10^5)(0.80) / \(T_{2}\)
208.333333333 = (0.82×10^5)(0.80) / \(T_{2}\)
208.333333333 (\(T_{2}\)) = (0.82×10^5)(0.80)
\(T_{2}\) = (0.82×10^5)(0.80) ÷ 208.333333333
\(T_{2}\) = 314.8 K
Converting K to degree Celcius as follows;
\(T_{2}\) = 314.8 - 273 = 41.8 degree Celcius
Hence 41.8 degrees Celcius is calculated to be the final temperature.
Although a part of your question is incorrect, you might be referring to this question:
A cylinder fitted with a movable piston contains ideal gas at 27 degrees C, pressure 0.50*10^5 Pa, and volume 1.25 m^3. What will be the final temperature if the gas is compressed to 0.80 m^3 and the pressure rises to 0.82*10^5 Pa?
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If the exponential model f(x)=8(9)x is written with the base e, it will take the form A0ekx. What is A0 and what is k?
Answers
Answer:
429
Step-by-step explanation:
a) Draw the graph of y = 4x - 1 on the grid. b) Use the graph to estimate the value of x when y = 1
Answers
Hello,
a) photo attached
b) When y = 1, x ≈ 0.5
Verification through calculation :
We have :
y = 4x - 1
⇔ 1 = 4x - 1
⇔ 4x = 2
⇔ x = 2/4 = 0.5
This is just !
:-)
May i have some help please ^^ im not really good at this stuff
Samra's guardians invested money for her into a 529 College Savings Plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x) = 400(1.02)x. What is the meaning of the y-intercept in the context of the problem?
The initial value of the investment is $400.
The principal amount put into the savings plan is $1.02.
The percent rate of change is 400%.
The average rate of change that is occurring is 1.02.
Answers
The y-intercept is the initial value of the investment is $400.
What is the y-intercept?If an investment is compounded annually, it means that both the initial amount invested and the interest that is accrued increases in value once a year. The equation that is used to determine the future value of the investment that earns a compound interest is an exponential function.
The form of the exponential function is:
FV = P (1 + r)^nm
Where:
FV = Future valueP = Present valueR = interest ratem = number of compoundingN = number of yearsThe y-intercept of an exponential function is the point where the graph touches the y-axis. It is the point where the value of x is zero. The y-intercept is the initial value of the investment. The initial value of the investment is $400.
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The difference of the square of a number and 36 is equal to 5 times that number.Find the positive solution.
Answers
Answer:
\( {x}^{2} - 36 = 5x\)
\( {x}^{2} - 5x - 36 = 0\)
\((x - 9)(x + 4) = 0\)
\(x = 9\)
Please help, Find the perimeter of the figure
Answers
Answer:
24
Hope that this helps!
Answer:
24 inches
Step-by-step explanation:
starting from 4 going clockwise, add the inches to get the perimeter:
4 + 5 + 1 + 5 + 9 = 24
Which of the matrices that follow are in row echelon form? Which are in reduced row echelon form? (a) [1 2 3 4 0 0 1 2 ] (b) [1 0 0 0 0 0 0 0 1] (c) [1 3 0 0 0 1 0 0 0] (d) [0 1
0 0 0 0] (e) [1 1 1 0 1 2 0 0 3] (f) [1 4 6 0 0 1
0 1 3]
Answers
The matrices in row echelon form are: (a), (c), (d), and (e). The matrices in reduced row echelon form are: (b) and (f).
[1 2 3 4 0 0 1 2] is in row echelon form because Each row that contains a non-zero element starts with a non-zero element (the first four rows). The leading non-zero element of each row is to the right of the leading non-zero element of the row above it (the first two columns)
[1 0 0 0 0 0 0 0 1] is in reduced row echelon form because Each row that contains a non-zero element starts with a non-zero element (the first and last rows). The leading non-zero element of each row is the only non-zero element in its column. The leading non-zero element of each row is to the right of the leading non-zero element of the row above it
[1 3 0 0 0 1 0 0 0] is in row echelon form because Each row that contains a non-zero element starts with a non-zero element (the first three rows). The leading non-zero element of each row is to the right of the leading non-zero element of the row above it (the first two columns)
[0 1 0 0 0 0] is in row echelon form because Each row that contains a non-zero element starts with a non-zero element (the second row). The leading non-zero element of each row is to the right of the leading non-zero element of the row above it (the first column).
[1 1 1 0 1 2 0 0 3] is in row echelon form because Each row that contains a non-zero element starts with a non-zero element (the first five rows) The leading non-zero element of each row is to the right of the leading non-zero element of the row above it (the first three columns).
[1 4 6 0 0 1 0 1 3] is in reduced row echelon form because Each row that contains a non-zero element starts with a non-zero element (all rows). The leading non-zero element of each row is the only non-zero element in its column. The leading non-zero element of each row is to the right of the leading non-zero element of the row above it. The leading non-zero element of each row is 1.
The matrices in row echelon form are: (a), (c), (d), and (e). The matrices in reduced row echelon form are: (b) and (f).
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2=r +2
WILL MARK BRAINLIEST!!
Answers
Answer:
Step-by-step explanation:
Step 1: Flip the equation.
r+2=2
Step 2: Subtract 2 from both sides.
r+2−2=2−2
2-2=0
Therefore your answer is 0
Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answers
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
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Find the value of the variables in each figure. Explain your reasoning.
Answers
Answer:
see explanation
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezoid.
Each lower base angle is supplementary to the upper base angle on the same side, thus
15x + 30 + 10x = 180 , that is
25x + 30 = 180 ( subtract 30 from both sides )
25x = 150 ( divide both sides by 25 )
x = 6
Also
3y + 18 + 90 = 180 , that is
3y + 108 = 180 ( subtract 108 from both sides )
3y = 72 ( divide both sides by 3 )
y = 24
-------------------------------------------------------------------
2x, 90 and x lie on a straight line and sum to 180 , thus
2x + 90 + x = 180 , that is
3x + 90 = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
------------
2y and x are alternate angles and congruent , thus
2y = x = 30 ( divide both sides by 2 )
y = 15
a sunflower has increased in height from 72.4cm to 86.2 cm. what is the percentage increase?
Answers
Answer:
initial hieght = 72.4 cm
final hieght = 86.2 cm
change in hieght = 9.8 cm
percentage increase = (9.8 ÷ 72.4 ) * 100 = 13.59 %
Please help ????? Just the bottom question
Answers
Answer:
144
Step-by-step explanation:
We can see that every 2 boxes has 24 peaches in it. That means that every single box would have 12 in it. Then it is just simple multiplication from there. 12 * 12 = 144.
Hope that this helps!
On May 12 Chris deposited $3,500 into a savings account that pays 5. 5% interest compounded
daily. On July 21 how much interest had been earned on the principal? See the back of the book.
Answers
The interest earned on the principal from May 12 to July 21 is $36.996.
To calculate the interest earned on the principal from May 12 to July 21, we need to use the formula for compound interest:
A = P\((1+r/n)^{nt}\) - P
Where:
A is the final amount
P is the principal (initial deposit)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the time in years
Given:
P = $3,500
r = 5.5% = 0.055 (in decimal form)
n = 365 (since interest is compounded daily)
t = (July 21 - May 12) / 365
First, let's calculate t:
t = (July 21 - May 12) / 365
t = 70 / 365
t ≈ 0.1918 (approximately)
Now, we can calculate the interest earned (A - P):
A = P\((1+r/n)^{nt}\)
A = 3500\((1+0.055/365)^{365*0.1918}\)
Calculating A:
A ≈ 3500\((1+0.00015068)^{0.0701}\)
A ≈ 3500\((1.00015068)^{0.0701}\)
A ≈ 3500 * 1.0105693
A ≈ 3536.99575
Finally, we can calculate the interest earned:
Interest earned = A - P
Interest earned ≈ 3536.99575 - 3500
Interest earned ≈ 36.99575
Therefore, the interest earned on the principal from May 12 to July 21 is approximately $36.996 (rounded to the nearest cent).
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A_ particle is falling in a viscous liquid. Assume that the drag force is 245 dynessec times cm the velocity: If the mass of the particle is 10 grams, the limiting speed in cm is sec [Hint: use 980 cm sec as the value of the acceleratic due to gravity] a) 4 b) Al
Answers
The limiting speed of particle is: 12 cm/sec.
We have the following information available from the question:
A particle is falling in a viscous liquid.
We have to assume that the drag force is 245 dyn-isec/cm times cm the velocity.
If the mass of the particle is 10 grams, the limiting speed in cm is sec.
We have to find the limiting speed in cm is sec.
Now, According to the question:
The mass of particle is given as 6 grams.
Suppose the limiting speed be x cm/s.
6 × 980 = 490x
⇒ x = (6 × 980)/490
⇒ x = 12
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square root of 5 times square root of 8
Answers
Answer:
6.32455532034
Rounded: 6.32
Hope this helps! :)
if nothing is known about the shape of a distribution, what percentage of the observations fall within 2 standard deviations of the mean?
Answers
If nothing is known about the shape of a distribution, the empirical rule can be used to estimate that approximately 95% of the observations will fall within two standard deviations of the mean.
If nothing is known about the shape of a distribution, it is still possible to use the empirical rule to estimate the percentage of observations that fall within two standard deviations of the mean. The empirical rule, also known as the 68-95-99.7 rule, is a useful tool for describing the spread of a normal distribution.
According to the empirical rule, approximately 68% of the observations in a normal distribution will fall within one standard deviation of the mean, approximately 95% of the observations will fall within two standard deviations of the mean, and approximately 99.7% of the observations will fall within three standard deviations of the mean.
However, it's important to note that this rule is only valid for approximately normal distributions. If the distribution is not normal, then the percentage of observations within two standard deviations of the mean may be higher or lower than 95%.
Additionally, if the sample size is small, the empirical rule may not be a good estimate of the true percentage of observations within two standard deviations of the mean.
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Using the chart in your text, calculate how many hours per week you should ideally spend studying if you have one three-credit class that is less demanding, two three-credit classes that are typically demanding, and one four- credit class that is very challenging.
Answers
Using the same guideline, for a four-credit class, you would ideally spend:
4 credits * 2-3 hours/credit = 8-12 hours per week.
it is suggested that students allocate around 2-3 hours of study time per credit hour per week for a college-level course. However, the actual study time required may vary based on individual learning styles, prior knowledge, and the specific requirements set by professors or institutions.
Let's apply this general guideline to your scenario:
One three-credit class that is less demanding:
Assuming 2-3 hours of study per credit hour, for a three-credit class, you would ideally spend:
3 credits * 2-3 hours/credit = 6-9 hours per week.
Two three-credit classes that are typically demanding:
Similarly, for each of the two three-credit classes, you would spend:
3 credits * 2-3 hours/credit = 6-9 hours per week.
Since you have two such classes, the total time would be:
2 * (6-9) hours = 12-18 hours per week.
One four-credit class that is very challenging:
Using the same guideline, for a four-credit class, you would ideally spend:
4 credits * 2-3 hours/credit = 8-12 hours per week.
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Find the area of the trapezoid.
12
8
6
Answers
base b- 8
height- 6
if this isn’t correct then i need the correct order.
the area is 60
help its timed 12 pts
Answers
Answer:
A
Step-by-step explanation:
I think your right!
Answer:
B
Step-by-step explanation:
I think it means the roots, at which the line crosses the x-axis, in which case, the answer is B, 0 and 1.4
When is the exponential smoothing model equivalent to the naive forecasting model?
- a = 0
- a = 0.5
- a = 1
- never
Answers
Answer:
Step-by-step explanation:
a=0.5
X and Y are independent random variables, and a and b are constants. Which one of the following statements is true?
Answers
X and Y are independent random variables, and a and b are constants is
Var(X-Y) = Var(X) + Var(Y)
Now, According to the question:
Let's Know:
Independent random variable:
Two random variables X and Y are independent if
E(XY) = E(X)E(Y).In case of n random variables the formula is extended as
\(E(X_1,X_2,X_3....X_n)=E(X_1)E(X_2)E(X_3)...E(X_n)\)
Are the random variables X and Y independent?
If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent.
Hence, X and Y are independent random variables, and a and b are constants is
Var(X-Y) = Var(X) + Var(Y).
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