Answer:
1) y=-x+4 2) y=-2.5x+5 3) y=0.5x+6 4) y=-x-4 5) y=-.25x+2 6) y=1.5x-6 7) y=-.625x-8 (8) y=7.5 (9) y=2x+4 (10) y=0.6x+5
Step-by-step explanation:
Help Please! Quick points!
Answer:
x=4.4
scale factor of 2.5
11/2.5
4.4
Answer:
x = 4.4
Step-by-step explanation:
4/10 = x/11
10x = 44
x = 4.4
For the given functions, (a) express dt
dW
as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. Then (b) evaluate dt
dw
at the given value of t. w=8ye x
−lnz,x=ln(t 2
+1),y=tan −1
t 1
z=e t
t=1
The given function isand z=e^t. We need to find the following :Express dt/dw as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t.
Evaluate dt/dw at the given value of t.Solution:(a)We need to express dt/dw as a function of t.Using Chain rule: We have the following formula:dy/dx = dy/dt * dt/dxWe are given w in terms of x, y, and z. We need to calculate the derivative of w with respect to t.
Therefore, we need to use the chain rule to solve this problem.Let's start with differentiating w with respect to x:∂w/∂x = 8y e^(x-lnz)∂w/
∂y = 8e^(x-lnz)∂w/
∂z = -8ye^(x-lnz)/zNow, let's find dt/dw using the chain rule:dt/
dw = (dt/dx) / (dw/dx)We are required to find dt/dw in terms of t. Hence, we need to express x, y, and z in terms of t.tan−1t^
(1/z) = tan−1t^(e^
(-t))= tan−1t^(1/e^t)Now, we can substitute the value of y and z in w to get:
w = 8yt^(1/e^t)e^xNow, we can substitute the value of x from the given equation of x, we get:
w = 8yt^(1/e^t)e^(ln(t^2+1))
w = 8yt^(1/e^t)(t^2+1)Therefore, we can differentiate w with respect to t and get the value of dt/dw.∂w/
∂t = 8t^((1/e^t)-1)(1/e^t)(t^2+1)+8y(1/e^t)t^(1/e^t)ln(t)(2t/(t^2+1))dt/
dw = 1/(∂w/∂t)Using this expression, we can find dt/dw in terms of t.dt/
dw = 1/(8t^((1/e^t)-1)(1/e^t)(t^2+1)+8y(1/e^t)t^(1/e^t)ln(t)(2t/(t^2+1)))(b)Now, we need to evaluate
dt/dw = 0.2564
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O GRAPHS AND FUNCTIONSGraphing a function of the form f(x) = ax + b: Integer slopeGraph the function g(x)=-3x-1.ywww.6-4-Хv5
this is:
x g(x)
-3 8
-2 5
-1 2
0 -1
1 -4
2 -7
3 -10
then this value we locate them in the graph, each ordered pair
\(\begin{gathered} \text{if x = -1} \\ g(-1)=-3(-1)-1 \\ g(-1)=3-1 \\ g(-1)=2 \end{gathered}\)then we have the coordinate (-1, 2) and place it on the Cartesian plane
\(\begin{gathered} \text{if x=0} \\ g(0)=-3(0)-1 \\ g(0)=-1 \end{gathered}\)we have the coordinate (0, -1)
\(\begin{gathered} \text{if x = 1} \\ g(1)=-3(1)-1 \\ g(1)=-3-1 \\ g(1)=-4 \end{gathered}\)we have the coordinate (1, -4)
which angle is congruent to
The angle congruent to ∠CGD is the angle ∠AGF as they are vertical angles.
The ratio of the number of Mary's necklaces to the number of Helen's necklaces is 25:9.Mary's has 100 necklaces. How many necklaces does Helen's have.
Answer: 36
Step-by-step explanation:
Given
The ratio of Mary's to Helen's necklaces is 25:9
Mary has 100 necklaces
Suppose Helen has x necklaces
Therefore the ratio can be written like
\(\Rightarrow \dfrac{25}{9}=\dfrac{100}{x}\\\\\Rightarrow x=\dfrac{100}{25}\times 9\\\\\Rightarrow x=4\times 9\\\Rightarrow x=36\)
So, Helen has 36 necklaces
a family is walking toward their home, which is in an apartment building 123 feet tall. they are walking at a rate of 5 ft/sec. how fast is the distance to the top of the building changing when they are 60 feet from the base of the building?
The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.
In the given question we have to find how fast is the distance to the top of the building changing when they are 60 feet from the base of the building.
A family is walking toward their home, which is in an apartment building 123 feet tall.
They are walking at a rate of 5 ft/sec.
So according to the given statement diagram is
In the diagram x represent base and s represent the distance.
Using the Pythagorean theorem to find the value of s.
So the equation should be
\(s^2=x^2+(123)^2\)........................(1)
From the question, x=60 feet
Now putting the value
\(s^2=(60)^2+(123)^2\)
\(s^2\) = 3600+15129
\(s^2\) = 18729
s = 136.85
Differentiate equation 1 with respect to t using the power rule then solve the expression for ds/dt
2s ds/dt=2x dx/dt+0
2s ds/dt= 2x dx/dt
Divide by 2s on both side, we get
ds/dt= x/s dx/dt.......................(2)
They are walking at a rate of 5 ft/sec.
So dx/dt=5
Putting the value in the equation 2
ds/dt=60/136.85 ×5
ds/dt=0.438×5
ds/dt=2.19 ft/s
The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.
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If a cylindrical vessel is 12 cm long and its surface area is 540 cm2, set up an
equation to find its radius.
Answer:
Option (1)
Step-by-step explanation:
Surface area of a cylindrical vessel is given by the expression,
Surface area = \(2\pi r^{2}+2\pi rh\)
= \(2\pi r(r+h)\)
Here, r = Radius of the vessel
h = Length of the vessel
By substituting the values of 'h' and surface area in the expression,
2πr(12 + h) = 540
Therefore, Option (1) will be the correct option.
Find the simple interest and the total amount after two years.
Principal = 2500=2500equals, 2500 rupees
Annual rate of interest = 9 \%=9%equals, 9, percent
Total interest ==equals
rupees
Total amount ==equals
rupees
Answer:
450
2,950
thats the answer
450 is the total interest amount and 2950 is the total amount.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the simple interest, we can use the formula:
A = P(1 + rt)
Now we can simply substitute the values given in the formula.
Before anything, it is a good practice to define the values of each variable.
P = 2,500
r = 9% or 0.09
t = 2
0.09×2500=225
225 is the interest for one year
450 is the total interest for two years.
Now we proceed to use the values in the formula to find total amount.
A=P(1+rt)
A = 2,500(1 + (0.09 × 2))
A = 2,500(1 + 0.18)
A = 2,500( 1.18 )
A = 2,950.00 Rupees
Hence, 450 is the total interest amount and 2950 is the total amount.
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#24 A particular cell in Excel is referred to by it's cell name,
such as D25. The D refers to the ______?
#32
The correct way to enter a cell address (for cell D3) in Excel
when you want the row to al
#24: The "D" in the cell name D25 refers to the column identifier in Excel.
#32: To enter a cell address in Excel, specifically for cell D3, when you want the row to always remain the same, you use the dollar sign ($) before the row number. So, the correct way to enter the cell address D3 while keeping the row fixed is "$D$3". By adding the dollar sign before both the column letter and the row number, the cell reference becomes an absolute reference, meaning it will not change when copied or filled down to other cells.
This is useful when you want to refer to a specific cell in formulas or when creating structured references in Excel tables.
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Help!!!! 10 x 10 x 90 x 300000000000000000
Answer:
2.7e+19
Step-by-step explanation:
Answer:
2700000000000000000000 or 27e + 21
Step-by-step explanation:
10 × 10 × 90 × 300000000000000000
100 × 27000000000000000000
2700000000000000000000
--------------------------------------------------------------------------------------------------------------
This could also be denoted as 27e + 21
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
post assessment
__1. it refers to the measure of all sides in a polygon.
a. Pentagon
b. square
c. trapezoid
d. perimeter
e. ruler
__2. it is an example of measuring tool in finding the perimeter of a plane figure
a. Pentagon
b. square
c. trapezoid
d. perimeter
e. ruler
__3. it is a plane figure with four equal side.
a. Pentagon
b. square
c. trapezoid
d. perimeter
e. ruler
__4. it is a polygon with 5 sides.
__5. it is a polygon with four unequal sides.
a. Pentagon
b. square
c. trapezoid
d. perimeter
e. ruler
STEP BY STEP what is 8-11
Answer:
-3
Step-by-step explanation:
You might find it easier to write -(11 - 8), which is -(3), or -3.
Answer:
8-11
Infront of 8 there will be+
so +8-11
- + = - so 8-11=-3
-3 is the answer of 8-11
For slope of the Hubble Constant, what does the 'rise' direction represent?
Group of answer choices
Recession Velocity (RV)
X axis
Y axis
For slope of the Hubble Constant, what does the 'run' direction represent?
Group of answer choices
X axis
Y axis
RV
The "rise" direction represents the Recession Velocity, indicating the motion of galaxies away from us, while the "run" direction represents the X axis, representing the independent variable used to measure distance or time in the Hubble Constant equation.
The "rise" direction in the context of the slope of the Hubble Constant represents the Recession Velocity (RV). It signifies the rate at which galaxies are moving away from us in the expanding universe.
On the other hand, the "run" direction represents the X axis. It refers to the distance or time, depending on the specific interpretation, along the X axis used to measure the independent variable in the Hubble Constant equation.
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There are 108 ducks at the zoo if 75% are brown how many brown ducks are at the zoo
Answer:
The answer would be 81 brown ducks.
Step-by-step explanation:
All we have to figure out 75% of 108.
0.75 multiplied by 108 is 81
So the answer would be 81 brown ducks.
===================================================================
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Slope through (―2,4), (1,7)
john must saves at least 25.50 to buy a hat. if he saves 80 cents per day, how many days will it take him to save enough?
represent the days as a variable
days= x
remeber that 80c is the same as $0.80
write an equation that models this situation
\(0.80x>25.50\)solve the equation for x
\(\begin{gathered} \text{0}.80x=25.50 \\ x>\frac{25.50}{0.80} \\ x>31.875 \end{gathered}\)according to this, after 31.875 days he will have enoght for the hat
Answer:
32 days
Step-by-step explanation:
25.50 / (.80 /day)= 31.875 days <=== so after 32 days he will have enough
Further statistical computation will be needed
mean
mode
median
By performing these statistical computations, you can analyze and interpret the central tendency of your dataset, which helps in understanding the overall pattern and distribution of the data.
It looks like you're seeking information on further statistical computation related to mean, mode, and median.
To calculate the mean, mode, and median of a dataset, follow these steps:
1. Mean: The mean is the average of all data points in a dataset.
- Step 1: Add up all the data points.
- Step 2: Divide the sum by the total number of data points.
2. Mode: The mode is the data point that occurs most frequently in a dataset.
- Step 1: Count the frequency of each data point.
- Step 2: Identify the data point(s) with the highest frequency.
3. Median: The median is the middle value in a dataset when the data points are arranged in ascending order.
- Step 1: Arrange the data points in ascending order.
- Step 2: If there is an odd number of data points, the median is the middle value. If there is an even number of data points, the median is the average of the two middle values.
By performing these statistical computations, you can analyze and interpret the central tendency of your dataset, which helps in understanding the overall pattern and distribution of the data.
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a. The most typical case is desired: Mode. The mode is a useful measure of central tendency when the most typical or common value is of relevance since it denotes the value or category that occurs most frequently in a data collection.
b. The distribution is open-ended: Median. The median is the middle value in a data set when arranged in ascending or descending order. It is a suitable measure of central tendency when the distribution is open-ended or skewed, as it is less affected by extreme values compared to the mean.
c. The data collection has an extreme value: the median. The median is less sensitive to extreme values compared to the mean, making it a better measure of central tendency in data sets with extreme values or outliers.
d. The data are categorical: Mode. The mode is appropriate for categorical data, as it represents the most frequently occurring category or value in the data set.
e. Further statistical computations will be needed: This statement does not indicate a specific measure of central tendency. Further statistical computations may be needed to determine the appropriate measure of central tendency depending on the characteristics of the data and the specific objectives of the analysis.
f. The numbers should be split into two roughly equal groups, one of which should contain the higher values and the other should contain the smaller values: Median. The median is the value that separates a data set into two equal halves, making it suitable for dividing data into two approximately equal groups based on their values.
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COMPLETE QUESTION-
For these situations, state which measure of central tendency - mean, median, or mode-should be used.
a. The most typical case is desired.
b. The distribution is open-ended.
c. There is an extreme value in the data set.
d. The data are categorical.
e. Further statistical computations will be needed.
f. The values are to be divided into two approximately equal groups, one group containing the larger values and one containing the smaller values.
What is the answer to the following math question
Answer:
\(\frac{35}{18}\)
Step-by-step explanation:
my suggestion on solving problems like this is to multiply by a fraction that equals "1" made up of the L.C.M of the fraction denominators (2,4,5 = 20)
\(\frac{20}{20}\) ..... the denominators will clear out leaving \(\frac{15 - 50}{12-30} = \frac{-35}{-18}\)
= 35/18
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Simplify \(\huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ \)\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
\( \huge \sf\frac { \frac { 3 } { 4 } - \frac { 5 } { 2 } } { \frac { 3 } { 5 } - \frac { 3 } { 2 } } \\ \)
The least common multiple of 4 and 2 is 4. Convert \(\sf\frac{3}{4} \)and \(\sf\frac{5}{2} \)to fractions with denominator 4.\( \huge \sf \frac{\frac{3}{4}-\frac{10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)
Because \(\sf\frac{3}{4} \)and \(\sf \frac{10}{4}\) have the same denominator, subtract them by subtracting their numerators.\( \huge \sf\frac{\frac{3-10}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)
Subtract 10 from 3 to get -7.\( \huge \sf\frac{-\frac{7}{4}}{\frac{3}{5}-\frac{3}{2}} \\ \)
The least common multiple of 5 and 2 is 10. Convert \(\sf\frac{3}{5}\) and \(\sf \frac{3}{2}\) to fractions with denominator 10.\( \huge \sf\frac{-\frac{7}{4}}{\frac{6}{10}-\frac{15}{10}} \\ \)
Because \(\sf \frac{6}{10}\) and \(\sf \frac{15}{10}\) have the same denominator, subtract them by subtracting their numerators.\( \huge \sf\frac{-\frac{7}{4}}{\frac{6-15}{10}} \\ \)
Subtract 15 from 6 to get -9.\( \huge \sf\frac{-\frac{7}{4}}{-\frac{9}{10}} \\ \)
Divide \(\sf-\frac{7}{4}\) by \(\sf-\frac{9}{10}\) by multiplying \(\sf-\frac{7}{4}\) by the reciprocal of \(\sf-\frac{9}{10}\).\( \huge \sf-\frac{7}{4}\left(-\frac{10}{9}\right) \)
Multiply \(\sf-\frac{7}{4}\) by \(\sf-\frac{10}{9}\) by multiplying the numerator by the numerator and the denominator by the denominator.\( \huge \sf\frac{-7\left(-10\right)}{4\times 9} \)
Carry out the multiplications in the fraction \(\sf\frac{-7\left(-10\right)}{4\times 9}\).\( \huge \sf\frac{70}{36} \)
Reduce the fraction \(\sf\frac{70}{36}\) to its lowest terms by extracting and cancelling out 2.\( \huge \boxed{ \bf\frac{35}{18}\approx 1.944..}\)
is (3,-3) a solution of y is less than or equal to -5x +3
The \((3,-3)\)is a solution of the inequality \(y\leq -5x + 3\).
We can test whether\((3,-3)\)is a solution of the inequality \(y \leq -5x + 3\) by substituting the values of x and y into the inequality and seeing if the inequality is true or false.
Substituting \(x=3\) and \(y=-3\) into the inequality, we get:
\(-3 \leq -5(3) + 3\)
Simplifying the right side of the inequality, we get:
\(-3 \leq -15 + 3\\-3 \leq -12\)
Since \(-3\) is indeed less than or equal to \(-12\), the inequality is true when \(x=3\) and \(y=-3\).
Therefore, \((3,-3)\) is a solution of the inequality \(y \leq -5x + 3\).
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A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec
Answer:
2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2): f(h) = -16x^2 +64x + 80
Step-by-step explanation:
You can either graph the functuion or take the first derivative to find the maximum height. The first derivative will give us the slope for a values of x. The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.
First Derivative:
f(x) = -16x^2 +64x + 80
f'(x) = -32x + 64
Set this equal to zero and solve for x
0 = -32x + 64
x = 2 seconds.
Use 2 seconds in the original equation to find the height at 2 seconds.
f(2) = -16x^2 +64x + 80
f(2) = -16(2)^2 +64*(2) + 80
f(2) = 144 feet
Graph:
A graph is attached. You can locate the maximum at (2,144)
x^2y^-1 + y / a-xy^-1
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Screenshot below!
I hope this helped!
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Please help with this math question ( whoever answers gets 65 points)
Answer:
5/1hour
Step-by-step explanation:
hope this helps
Answer:
5 animals in one hour
Step-by-step explanation:
Ratios are fractions set equal to each other, like this:
\(\frac{x}{y} =\frac{x}{y}\)
We have one side of the ratio:
\(\frac{35}{7}\)
If we set 7 hours equal to 1 hour, we'll end up with:
\(\frac{35}{7}=\frac{?}{1}\)
If we cross multiply we end up with:
35*1 = ?*7
or
35 = 7x
When we divide both sides:
5 = x
So the vet cared for 5 animals in one hour.
What percentage is equivalent to 7:8
A plumber charges $50 for a house call plus $40 for each hour worked. Let h represent the number of hours worked. Write an expression that shows how much the plumber charges for a job lasting h hours. Then find how much the plumber charge for a job lasting 3 hours.
Answer:
x = 50 + 40h
Step-by-step explanation:
Find the equation of the parabola whose vertex is at origin and whose axis is one of the coordinate axes if the focus is on the line 3x+4y=12?
To find the equation of the parabola with its vertex at the origin and its axis along one of the coordinate axes, we can use the following steps:
Step 1: Identify the axis of the parabola.
Since the parabola's vertex is at the origin, its axis will be one of the coordinate axes. In this case, it will be either the x-axis or the y-axis.
Step 2: Determine the focus of the parabola.
Given that the focus of the parabola lies on the line 3x + 4y = 12, we can rewrite this equation in terms of either x or y to find the coordinates of the focus. Let's rewrite it in terms of x:
3x = 12 - 4y
x = (12 - 4y) / 3
The x-coordinate of the focus is (12 - 4y) / 3. Since the parabola's vertex is at the origin, the y-coordinate of the focus will be 0.
So, the coordinates of the focus are [(12 - 4y) / 3, 0].
Step 3: Find the equation of the parabola.
Since the vertex is at the origin, the general equation of a parabola with its vertex at the origin and axis along the x-axis is given by:
x^2 = 4ay
where "a" is the distance between the focus and the vertex.
Using the coordinates of the focus we found in Step 2, we can substitute [(12 - 4y) / 3, 0] into the equation:
[(12 - 4y) / 3]^2 = 4a(0)
Simplifying the equation further:
(12 - 4y)^2 = 0
Expanding and solving for y:
144 - 96y + 16y^2 = 0
16y^2 - 96y + 144 = 0
Dividing the equation by 16:
y^2 - 6y + 9 = 0
Factorizing the quadratic equation:
(y - 3)^2 = 0
Taking the square root of both sides:
y - 3 = 0
y = 3
So, the equation of the parabola is x^2 = 4a(3), which simplifies to x^2 = 12a.
In conclusion, the equation of the parabola with its vertex at the origin and axis along one of the coordinate axes, where the focus lies on the line 3x + 4y = 12, is x^2 = 12a.
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If a scattergraph contains points that do not fall in a perfect line: Multiple Choice a straight line can still be used to approximate the relationship if a general linear trend can be discerned. the relationship between the variables is not good enough to warrant fitting a line to the data. this is an indication that there is no relationship whatsoever between the variables. the visual fit method and high-low methods should not be used, but least-squares regression can be used.
Answer:
a straight line can still be used to approximate the relationship if a general linear trend can be discerned.
Step-by-step explanation:
The correct option is - A straight line can still be used to approximate the relationship if a general linear trend can be discerned.
Reason -
If a scatter graph contains points that do not fall in a perfect line, then a straight line can still be used to approximate the relationship if a general linear trend can be discerned.
Help me please
Kylie feeds vitamins to her dog by dropping them into his water dish. The directions require 5 drops of vitamins to be put in 2 liters of water.
How many drops are required for 1 liter of water?
Answer options with 5 options
A. 0.4
B. 2.5
C. 3.0
D. 5.2
E. 10
Answer:
Choice D.
Step-by-step explanation:
5.2
Triangular prism problem
Help, I’m trying to solve this question but I’m stuck on what the length is for the right angle in pink
The total surface area of the triangular prism is: 111 ft²
What is the surface area of the triangular prism?To find the total surface area of the given triangular prism, we will find the area of all the surfaces and add it up.
Formula for the area of a rectangle is:
Area = Length * Width
Area of a triangle is:
Area = ¹/₂ * base * height
Thus:
Total Surface area = 2(¹/₂ * 3 * 7) + (7 * 5) + (8 * 5) + (3 * 5)
Total Surface area = 21 + 35 + 40 + 15
Total Surface area = 111 ft²
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HELPPPPP
7 8 ÷ 1 4
A) 3 1 2
B) 4
C) 7 16
D) 7 32
Answer:
A) 3 1/2
Explanation:
\(\hookrightarrow \sf \dfrac{7}{8} \div \dfrac{1}{4}\)
rewrite the following
\(\hookrightarrow \sf \dfrac{7}{8} * \dfrac{4}{1}\)
join both fractions
\(\hookrightarrow \sf \dfrac{7*4}{8}\)
multiply
\(\hookrightarrow \sf \dfrac{28}{8}\)
simplify the following
\(\hookrightarrow \sf \dfrac{7}{2}\)
turn into mixed fraction
\(\hookrightarrow \sf 3\dfrac{1}{2}\)
Answer:
\(\dfrac{7}{2}\)
Step-by-step explanation:
Given expression:
\(\dfrac{7}{8} \div \dfrac{1}{4}\)
Simplify the expression:
\(\implies \dfrac{7}{8} \div \dfrac{1}{4}\)
\(\implies \dfrac{7 \div 1}{8 \div 4}\)
\(\implies \dfrac{7}{2}\)
Write an equation of the line passing through point P(4,3) that is parallel to the line y = 12(x+4).
Answer:
y=12x-45
Step-by-step explanation:
First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.
Now we have:
y=12x+48
where the slope is 12.
Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.
Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)
Step 1 for this: y-3=12(x-4)
Step 2: we will distribute and solve for y so our answer is in slope intercept form.
Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45
Our answer is y=12x-45
Hope this helps!