(-3,-5), perpendicular to x +2y=-4
Answers
The equation of the line perpendicular to y = - (1 / 2) · x - 2 and that passes through the point (x, y) = (- 3, - 5) is y = 2 · x + 1.
How to determine an equation of the lineIn this problem we must determine the equation of a line perpendicular to another line, provided that the equation of a line and a point of intersection are given. According to analytical geometry, two lines are perpendicular if and only if the product of the two slopes equals - 1.
The equations of the line are defined by functions of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the slope relationship between two perpendicular line:
m · m' = - 1
Where:
m - Slope of the original line.m' - Slope of the perpendicular line.First, derive the equation of the line in slope-intercept form:
x + 2 · y = - 4
2 · y = - x - 4
y = - (1 / 2) · x - 2
Second, calculate the slope of the perpendicular line by the slope relationship:
m' = - 1 / (- 1 / 2)
m' = 2
Third, find the y-intercept of the perpendicular line by the equation of line, the slope and the coordinates of the given point:
b = y - m · x
b = - 5 - 2 · (- 3)
b = - 5 + 6
b = 1
Then, obtain the equation of the line in slope-intercept form:
y = 2 · x + 1
The equation of the line is y = 2 · x + 1.
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Related Questions
a sample of 46 observations yielded a sample standard deviation of 10. if we want to test , the test statistic is:___
Answers
To determine the test statistic for a hypothesis test, we need additional information such as the null hypothesis, alternative hypothesis, and the population parameters. The sample standard deviation alone is not sufficient to calculate the test statistic.
In hypothesis testing, we typically compare sample statistics to population parameters to make inferences about the population. The test statistic depends on the specific hypothesis test being conducted, such as a t-test or z-test, and the information provided about the population.
Therefore, without further details about the specific hypothesis test, null hypothesis, alternative hypothesis, and population parameters, it is not possible to determine the test statistic.
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Use the Polygon Angle Sum Theorem to find the measure of x :
Answers
The required value of x for this polygon is - 90.
We know that,
Polygons are two-dimensional geometric figures with a fixed number of sides. A polygon's sides are made up of straight line segments that are joined end to end. As a result, the line segments of a polygon are referred to as sides or edges.
The place where two line segments meet is known as the vertex or corners, and an angle is generated as a result.
A triangle with three sides is an example of a polygon. A circle is a plane figure, however it is not regarded a polygon because it is curved and lacks sides and angles.
As a result, we can argue that all polygons are 2d shapes, but not all two-dimensional figures are polygons.
Since,
Sum of interior angles of polygons = 360 degree
Therefore,
130 + x + 20 + 120 + 140 + x - 20 + 150 + x = 360
2x = 360 - 540
x = -180/2
x = -90
Thus,
The value of x = - 90
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PLease help me pleaseeee will give high rating and brainlyest
It is known that a certain drug causes side effects in 10% of patients. If we consider a random sampling of 15 patients, what is the probability less than two have the side effect?
Answers
The probability that less than two patients out of a random sample of 15 have the side effect is approximately 0.5612 or 56.12%.
To find the probability that less than two patients out of a random sample of 15 have the side effect from a drug known to cause side effects in 10% of patients, we can use the binomial distribution.
Let's define "success" as a patient having the side effect.
The probability of success (p) is 10% or 0.1, and the probability of failure (q) is 90% or 0.9.
Now we can calculate the probability of less than two patients having the side effect using the binomial probability formula:
P(X < 2) = P(X = 0) + P(X = 1)
where X represents the number of patients with the side effect.
Using the binomial probability formula, we can calculate:
\(P(X = 0) = (15 C 0) \times (0.1)^0 \times (0.9)^{ 15\)
\(P(X = 1) = (15 C 1) \times (0.1)^1 \times (0.9)^{14\)
Calculating these probabilities:
\(P(X = 0) = (1) \times (1) \times (0.9)^{15} \approx 0.2059\)
\(P(X = 1) = (15) \times (0.1) \times (0.9)^{14} \approx 0.3553\)
Adding these probabilities:
P(X < 2) ≈ 0.2059 + 0.3553 ≈ 0.5612.
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I need a lot of help lol
Answers
Answer:
No.
Step-by-step explanation:
It is true for the second one but not the first.
Answer:
No as i said before .
Step-by-step explanation:
First , transfer y from the left side of equation to the right side of it , so that this way u can have both variables in *one* side .
You have to get ride of one of the variables ( x or y )
Here it is better to omit y because it does not have any number stick to it .
in order to do that , multiply one of those equation (up to u ) by -1.
Then write the sum of them , below them .
Now , you only have X , a simple one-variable equation , write the coefficient of x below the fraction of the number in the left side of equation & find x then insert X in one of the equations(up to u) like y=3X-2
then find y . ( just like what we did in a simple one-variable equation)
Good luck .
True or False: The first step to solving for the volume of a sphere is to substitute or replace what you know from the question.
True
False
Answers
Answer:
True
Step-by-step explanation:
answer this correctly for brainlist
A family has a unique pattern in their tile flooring on the patio. An image of one of the tiles is shown.
A quadrilateral with a line segment drawn from the bottom vertex and perpendicular to the top that is 5 centimeters. The right vertical side is labeled 3 centimeters. The portion of the top from the left vertex to the perpendicular segment is 5 centimeters. There is a horizontal segment from the left side that intersects the perpendicular vertical line segment and is labeled 6 centimeters.
What is the area of the tile shown?
53 cm2
45.5 cm2
42.5 cm2
36.5 cm2
Answers
Answer:
45.5
Step-by-step explanation:
i passed
i took the test
find the area of the figure
Answers
Answer:
A≈19.31
Step-by-step explanation:
Formula to find area of Octagon: A=2(1+√2)a^2
Divide 16/8 since there are 8 sides.
Answer:
19.31
Step-by-step explanation:
Formula:
\(A=2(1+\sqrt{x} 2)a^2\)
Hope this helps :)
Pls Brainliest...
whats this? i dont pay attention okay thx
Answers
Answer:
if u need help don't show your attitude
Answer:
pay attention in class and stop being a bum
Step-by-step explanation:
find the arc length of the polar curve r=9sinθ, 0≤θ≤π3. write the exact answer. do not round.
Answers
The arc length of the polar curve r=9sinθ, 0≤θ≤π3 is 3π.
The formula for the arc length for a polar curve r = f(θ) is given by:
L = ∫_a^b √[r^2 + (dr/dθ)^2] dθ
In this case, we have r = 9sinθ, 0≤θ≤π3, so dr/dθ = 9cosθ. Thus, we can plug these expressions into the formula to get:
L = ∫_0^π/3 √[r^2 + (dr/dθ)^2] dθ
L = ∫_0^π/3 √[(9sinθ)^2 + (9cosθ)^2] dθ
L = 9 ∫_0^π/3 √[sin^2θ + cos^2θ] dθ
L = 9 ∫_0^π/3 1 dθ
L = 9 [θ]_0^π/3
L = 3π
Therefore, the exact arc length of the polar curve r = 9sinθ, 0 ≤ θ ≤ π/3 is 3π.
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which of the following is true about outliers? a. they can affect the strength, but not the direction, of an association. b. they have the biggest effect when dealing with small sample sizes. c. they usually affect a majority of the data points. d. they are only problematic when they affect one variable and not the other.
Answers
Since an outlier will have an effect when dealing with small sample sizes the true statement is option b. They have the biggest effect when dealing with small sample sizes.
An outlier
In Mathematics, an outlier is a value of a set of data that is quite different from the other values. In simple terms, outliers are values that are far from the middle.
Outliers have a significant impact on the mean, but not on the median or mode. Remember There is no such rule that determines the outliers of data, these are extreme values of data.
Example:
1) 15, 16, 20, 26, 30, 31, 35, 42, 45, 150, 200
In the given data, 150 and 200 are different from other values
An outlier of given data is 150 and 200
These are the points that lie outside the entire distribution. These outliers are shown as dots.
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what would the probability be that the time to the next failure is 1 day or less?
Answers
If we have data on the failure rate of the system or equipment, we can use this formula to calculate the probability of the time to the next failure being 1 day or less.
The probability of the time to the next failure being 1 day or less would depend on various factors such as the type of system or equipment being used, its age, maintenance history, and environmental conditions.
To calculate this probability, we would need to gather data on the time to failure for similar systems or equipment and use statistical methods such as a probability distribution function to model the data.
For example, if we assume that the time to failure follows an exponential distribution, we can use the cumulative distribution function to calculate the probability of the time to the next failure being 1 day or less.
The formula for the cumulative distribution function for the exponential distribution is:
P(X ≤ x) = 1 - e^(-λx)
Where X is the time to failure, λ is the failure rate, and e is the base of the natural logarithm.
If we have data on the failure rate of the system or equipment, we can use this formula to calculate the probability of the time to the next failure being 1 day or less.
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The area of a basketball court is 4500 ft2. The width is 50 feet. Find the length
Answers
Answer:
90ft
Step-by-step explanation:
Area = Width x Length
Length = Area/Width
Length = 4500/50
Length = 90
Hope this helps buds!!
How many paths are there from A to B if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through B as long as you end up at the point B).
Answers
The number of paths passing from A to B if we pass through the edge at most once is 3.
How to find the number of paths from A to B?Since we have that paths from A to B in the shape of triangles, we desire to find the number of paths from a to B if we travel along the edges at most once.
Now,
The first path is passing through the top triangular edges from point A to BThe second path is passing through the middle edge from A to B.The third path is pasing through the bottom edges from A to B.So, we see that there are 3 paths passing from A to B if we pass through the edge at most once.
Thus, there are 3 paths passing from A to B if we pass through the edge at most once.
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For the following angles find a conterminal that is located in the interval 0 < 0 < 27 A. A = -2 B.0=1 C.0 = 197 3 4 6
Answers
The coterminal angles in the given range is;
For angle
\(-\frac{2\pi}{3}\text{ the coterminal is -}\frac{2\pi}{3}+2\pi=\frac{-2\pi+6\pi}{3}=\frac{4\pi}{3}\)\(\text{The coterminal of }\frac{11\pi}{4}\text{ is }\frac{11\pi}{4}-2\pi=\frac{11\pi-8\pi}{4}=\frac{3\pi}{4}\)\(\text{The coterminal of }\frac{19\pi}{6}\text{ is }\frac{19\pi}{6}-2\pi=\frac{19\pi-12\pi}{6}=\frac{7\pi}{6}\)Let f(x):
=
1
and g(x) = x² + 5x. What
0080
Clear all
-
X
two numbers are not in the domain of fº g?
Separate your answers with a comma.
Enter the correct answer.
000
I
<?
DONE
Answers
The two numbers are not in the domain of fºg is x= 0 , x = -5
What is function ?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.
f o g is composite function, y values of g passed as x values into f.
f o g = 1/(x² + 5x)
in this case, the only way for the function to be undefined is when
x²+5x = 0
x(x + 5) = 0
x = 0 or x = -5
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Helppppppppppppppppppppppppppppppppppppppppp pls
Answers
Answer:
Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.
Step-by-step explanation:
The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??
THREE expressions equivalent to –81x+27.
Answers
Hey there!
One thing we can do to get an equivalent expression is to divide both sides by 3. That would get us \(\frac{-81x+27}{3}\). If we simplify this, we get \(-27x+9\).
Another thing we can do is divide both sides by 27, because it is divisible by 27. That would get us \(\frac{-81x+27}{21}\). If we simplify this, we get \(-3x+1\).
One last thing we can do is multiply it by 1, and add zero, because that does not change it at all. That would give us \(1(-81x+27)+0\).
Have a terrificly amazing day! :D
Find the value of f(50) for the periodic function graphed below:
Answers
The function has a period of 6, this means that:
\(f(x+6n)=f(x)\)where n is any integer number.
We need to find the value of f(50), this can be written as:
\(f(50)=f(2+48)=f(2+6\cdot8)=f(2)\)Therefore f(50)=f(2) and since f(2)=1. Then f(50)=1
. sand is being dumped from a truck at a rate of 40 cubic feet per minute forming a cone with diameter twice the height. how fast is the height changing when the pile is 5 feet high?
Answers
1.
Which is the graph of the function y = −3(2)^x?
Answers
Answer:
A
Step-by-step explanation:
y = − 3 ( 2 ) x
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y = 0 .
Horizontal Asymptote:
y = 0
Find the value of X and show your work
Answers
Step-by-step explanation:
Ans of 8
x + 3x + 2x = 180 (sum of all angle of triangle is 180)
6x = 180
x = 60
Ans of 9
(2x-2)+(x+5)+90 = 180
3x+3+90 = 180
3x + 93 = 180
3x = 180-93
x = 87/3
x = 29
3= -4+t SOLVE FOR (T) HELP PLEASE GIVE GREAT POINTS (30 points )
Answers
Answer:
t=7
Step-by-step explanation:
1. You need the switch the equation. -4+t=3
2. After you switch the numbers you need to add 4 to each side (4+-4 +t )=3+4
3. Finally you add all of it and get t=7
er
A keyboarding instructor at a community
college collected data comparing a
student's age and their typing speed.
The equation for the line of best fit is
given as y=-1.4x + 117.8, where x is the
"age in years" and y is the "typing speed.
If you are 25 years of age, what is your
typing speed?
Answers
If you are 25 years of age, your typing speed is equal to 82.8 units.
What is a line of best fit?In Mathematics, a line of best fit is sometimes referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.
Based on the scatter plot, we can logically deduce that an equation which represents the line of best fit include the following:
y = -1.4x + 117.8
When you are 25 years of age, your typing speed can be calculated as follows;
y = -1.4x + 117.8
y = -1.4(25) + 117.8
y = -35 + 117.8
y = 82.8 units.
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A regular hexagon has sides of 3 feet. What is the area of the hexagon?
27 √3 ft 2
18 √3 ft 2
9 √3 ft 2
13.5 √3 ft 2
Answers
Answer:
13.5√(3) ft^2
Step-by-step explanation:
In this, question, we are to calculate the area of the hexagon
Mathematically, we can calculate the area of a hexagon using the formula;
A = {3√(3)/2}a^2
where a is the length of the side which is 3 feet
substituting the value of 3 into the formula, we have;
A = 3√3/2 * 3^2 = 27 √(3)/2 = 13.5√(3) ft^2
Answer:
13.5√(3) ft^2
Step-by-step explanation:
100 POINTS!!!! Simplify. n6 • n5 • n4 ÷ n3 • n2 ÷ n
ITS NOT n^9
Answers
Answer: Must be n13 the 13 would be like smaller but i dont know how to do that
Step-by-step explanation:
Answer:
n^13
Step-by-step explanation:
i dont know if this is right? is n6 = n to the square root of 6
Please i need help asap
Answers
state the law of logic represented: if you exercise every day, then you will be a better athlete. You exercise every day. So, you will be a better athlete. a. law of syllogism b. law of detachment c. neither
Answers
Answer:
Step-by-step explanation:
c
What is the coefficient in the expression 4n + 1? *
a. 4
b. n
c. 1
Answers
Answer:
A. 4
Step-by-step explanation:
B is the variable. C is not apart of the function. I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!
find the measure of the indicated angle
Answers
Answer:
B=53
C=127
D=127
Step-by-step explanation:
8 more than twice a number is equal to negitive 20
Answers
Answer:
-14
Step-by-step explanation:
Well, the equation would be 8+2n=-20
2n=-28
n=-14
Answer:
2x + 8 + = 20
8 + 12 is 20 so x must be 6 i think
Step-by-step explanation: