10 Give the vector equation of a line perpendicular to the line L: x= 27-1, y=-31 te R. Are there other answers? 5
Answers
This is the vector equation of a line perpendicular to line L. There are infinitely many lines that are perpendicular to line L, and you can find them by choosing different values for (a, b).
Hi! To find a line perpendicular to line L with the given equation, we need to determine the direction vector of line L first. The equation of line L can be represented as:
x = 27 - t
y = -31 + t
The direction vector of line L can be determined by looking at the coefficients of t, which are (-1, 1). To find a perpendicular vector, we need to swap the coefficients and change the sign of one of them. In this case, we can choose (1, 1) or (-1, -1) as a perpendicular vector.
Now, let's write the vector equation of the line perpendicular to line L. Since we don't know a specific point on the new line, we can represent it with a general point (a, b):
x = a + s
y = b + s
where s is a parameter and (a, b) is a point on the new line.
This is the vector equation of a line perpendicular to line L. There are infinitely many lines that are perpendicular to line L, and you can find them by choosing different values for (a, b).
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Related Questions
can anyone help me with 17, 18, or 20? i’ll make you a brainliest if you can answer all of them but i need help!!
Answers
(17) The value of x would be 20 degrees.
(18) The value of x would be 21.25 degrees.
(20) The value of x would be 6 degrees.
What is the sum of the angles of a triangle?
The sum of the angles of a triangle is 180 degrees. This is a fundamental property of triangles and is known as the triangle sum theorem.
(17)
By using the property of the sum of angles of a triangle, we get
(x+6) + (3x+9) + (4x+5) = 180
Simplifying the left side of the equation gives:
8x + 20 = 180
Subtracting 20 from both sides of the equation gives:
8x = 160
Dividing both sides of the equation by 8 gives:
x = 20°
(18) In a right triangle, one angle is a right angle, which measures 90 degrees. If we know the measures of the other two angles in the triangle, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to find the value of x.
(2x-4) + (6x+14) + 90 = 180
Simplifying the left side of the equation gives:
8x + 10 = 180
Subtracting 10 from both sides of the equation gives:
8x = 170
Dividing both sides of the equation by 8 gives:
x = 21.25
(20) To find the value of x, we can use the fact that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. We can write an equation using this fact and the measures of the three angles given in the problem:
(2x+13) + (15x+19) = (7x+92)
Simplifying the left side of the equation gives:
17x + 32 = 7x + 92
Subtracting 7x from both sides of the equation gives:
10x + 32 = 92
Subtracting 32 from both sides of the equation gives:
10x = 60
Dividing both sides of the equation by 10 gives:
x = 6
Hence,
(17) The value of x would be 20 degrees.
(18) The value of x would be 21.25 degrees.
(20) The value of x would be 6 degrees.
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Stephanie multiplied two decimal numbers and found the product to be 29.648.
Which could be the two decimals Stephanie multiplied? Check all that apply.
13.6 and 2.18
1.36 and 2.18
1.36 and 21.8
13.6 and 0.218
i will give crown
Answers
Answer:
13.6 and 2.18 AND 1.36 and 21.8
Step-by-step explanation:
Answer:
b is the answer
Suppose the future value of a \( 7.75 \% \) simple interest loan is \( \$ 1,321.17 \) at the end of 230 days. Find the present value of the loan. State your result to the nearest penny.
Answers
The present value of the loan is found to be approximately $70.28.
To find the present value of a loan, we can use the formula:
Present Value = Future Value / (1 + (interest rate * time))
Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:
Present Value = 1321.17 / (1 + (0.0775 * 230))
Calculating the expression in the parentheses first:
Present Value = 1321.17 / (1 + 17.8075)
Simplifying further:
Present Value = 1321.17 / 18.8075
Evaluating the division:
Present Value ≈ $70.28
Therefore, the present value of the loan is approximately $70.28.
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simplify the following expressions ( use distributed property )
Answers
Answer:
ax + ab
Step-by-step explanation:
Step 1: Write expression
a(x + b)
Step 2: Distribute a to each term
ax + ab
\(\huge\boxed{Hello!}\)
The Distributive Property states that
a(b+c)=ab+ac
Now, let's use this property to simplify the given expression:
a(x+b)
ax+ab
This is our final answer.
\(\huge\boxed{\bf{Hope\;it\;helps!}}\)
\(\huge\bold{Good\;luck!}\)
\(\huge\mathfrak{LoveLastsAllEternity}\)
Can you please show all your work plus the equation
Answers
The angle between two sides of a triangle is increasing at the rate of 0.03 radians per second. One side of the triangle measures 9 inches, and the other is 7 inches. At what rate is the area of the triangle changing when the angle between the sides is `pi/3` ?
`A = 1/2 ab sin theta`
A.
–47.25 in. 2/s
B.
–0.4725 in. 2/s
C.
0.4725 in. 2/s
D.
47.25 in. 2/s
Answers
Answer:
its the other won D
Step-by-step explanation:
PLease help i will give brainliest
Answers
Others are distributed on a larger scale. 11-6=5 for B, 6-0=6 for C, 8-1=7 for D
Basket 4 contains twice as many oranges as basket B does. If 3 oranges were removed from basket A and placed in basket B, the ratio of the number of oranges in basket A to the number of oranges in basket B would be 7 to 5. What is the total number of oranges in the two baskets? 30 36 42 48 54
Answers
The total number of oranges in the two baskets is 42.
Let's assume that basket B contains x oranges. According to the given information, basket A contains twice as many oranges as basket B, so the number of oranges in basket A is 2x. If 3 oranges are removed from basket A and placed in basket B, the new ratio of oranges in basket A to basket B is 7:5. This means (2x - 3)/(x + 3) = 7/5. Solving this equation, we find that x = 9. Therefore, basket B initially contained 9 oranges, and basket A contained 2 * 9 = 18 oranges. The total number of oranges in the two baskets is 9 + 18 = 27.
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What is the solution of x + 6 < 5?
Answers
Answer:
a
Step-by-step explanation:
Answer:
x < -1
Step-by-step explanation:
Hope this helps you :)
Please help me please
Answers
Answer:
b
Step-by-step explanation:
cause u are using 3 gallons which is taking away
Answer:
the answer is only 3
Step-by-step explanation:
you read all of them and you make it an equation and if it is negative or subtraction that would be your answer
If thrice a number increased by 11, the result is 35. What is the number?
Answers
If thrice a number increased by 11 and the result is 35, then the number is 8
Let's call the number we're trying to find "x".
According to the problem, "thrice a number increased by 11" is equal to 35. So we can write this as an equation:
3x + 11 = 35
To solve for x, we need to isolate it on one side of the equation. We can start by subtracting 11 from both sides:
3x + 11 - 11 = 35 - 11
Simplifying the left side and evaluating the right side, we get:
3x = 24
Now we can solve for x by dividing both sides by 3:
3x/3 = 24/3
x = 8
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Could someone help me find the length of each segment and which statements are true?
Answers
Answer:
see explanation
Step-by-step explanation:
(a)
calculate the lengths using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = J (- 3, - 7 ) and (x₂, y₂ ) = K (3, - 8 )
JK = \(\sqrt{(3-(-3))^2+(-8-(-7))^2}\)
= \(\sqrt{(3+3)^2+(-8+7)^2}\)
= \(\sqrt{6^2+(-1)^2}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = M (8, 3 ) and (x₂, y₂ ) = N (7, - 3 )
MN = \(\sqrt{(7-8)^2+(-3-3)^2}\)
= \(\sqrt{(-1)^2+(-6)^2}\)
= \(\sqrt{1+36}\)
= \(\sqrt{37}\)
repeat with (x₁, y₁ ) = P (- 8, 1 ) and (x₂, y₂ ) = Q (- 2, 2 )
PQ = \(\sqrt{-2-(-8))^2+(2-1)^2}\)
= \(\sqrt{(-2+8)^2+1^2}\)
= \(\sqrt{6^2+1}\)
= \(\sqrt{36+1}\)
= \(\sqrt{37}\)
(b)
JK ≅ MN ← true
JK ≅ PQ ← true
MN ≅ PQ ← true
In the table below, x represents the miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
What is the slope of this function?
0.44
0.63
2.25
22.50
Mark this and return
Answers
the slope of the linear equation is 2.25, which means that the third option is the correct one.
How to get the slope of the function?
Remember that a linear equation is a function of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the linear equation passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
From the given data, where we have:
x = miles.y = costWe can use the first two points:
(2, 8.50)
(5, 15.25)
Replacing that in the slope equation we get:
a = (15.25 - 8.50)/(5 - 2) = 2.25
Then the slope of the linear equation is 2.25, which means that the third option is the correct one.
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WILL MARK BRAINLIEST
George bought a power saw for $45.95 and an extension cord for $12.95. The sales tax is 6%. What is the total cost of his purchases? Round your answers to two decimal places.
Answers
I wouldn’t be too trusting of my answer though, haven’t done this math in a while
45.95 + 12.95 = 58.90 * 1.06 = 62.434
Helpppppp meeeee plzzzzzzzzzz
Answers
Answer:
they got -21 when they were supposted to get +21
and they also got +6x when they were supposted to get -6x
Step-by-step explanation:
that's because -3 and 2x are multiplied together and when you are multiplying negative and positive number you need to get negative result.
when you are multiplying negative with negative number, you will get positive number.
Task 4:
A carnival attraction tests your strength by how far in the air
you can drive a weight with a hammer. If the weight
reaches 15 feet you win a prize! The equation
h = -1612 + 317 + 2 gives the height h of the weight t seconds
after you hit it.
A: How long is the weight moving?
B: What was the weight's maximum height?
C: Did you win a prize? How do you know?
Answers
B i think i am sorry if it is not right but i am pretty sure i am right tho
What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result?.
Answers
Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.
What is distributive property?Firstly, to distribute means to divide something or give a share or part of something.
Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.
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Type the expression that results from the following series of steps:
Start with n, add 5, multiply by 4, then subtract 7.
Answers
Answer:
n+5×4-7
Step-by-step explanation:
The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units
Answers
Answer:
Option D, 140 sq. units
Step-by-step explanation:
Area of the rectangle part, 11*5 = 55 sq. units
Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units
Total area,
55+2*42.5 sq. units (since there are two pentagons)
= 55+85 sq. units
= 140 sq. units
Here is a trapezium.
20 m
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
ol
(20+30)(13)
+5 m
+5 m
=(10+30)(13)
= 40x13
= 520 m²
What two mistakes did Jenny make in her method?
Answers
Answer:
Jenny wants to work out the area of
the trapezium.
13 m
She writes:
13 m
N
12 m
area =-
Step-by-step explanation:
6. (4 points) is 3 a generator for the group of multiplication modulo 11? show why this is or is not the case.
Answers
The order of 3 is 10, which means that 3 is a generator for the group of multiplication modulo 11.
The group of multiplication modulo 11 is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
To verify whether 3 is a generator for this group or not, let us use the following theorem:
For a finite group of order n, g is a generator if and only if its order is equal to n, which means that g has the power to reach all the elements in the group.
The order of the group of multiplication modulo 11 is 10. To determine whether 3 is a generator or not, we need to find out the orders of its powers.
Using the table below, we can determine the orders of 3, 3², 3³, and 3⁴.
power 3¹ 3² 3³ 3⁴
result 3 9 5 4
order 10 5 10 5
As seen from the table, the order of 3 is 10, which means that 3 is a generator for the group of multiplication modulo 11. Therefore, any other element in the group can be written as a power of 3.
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She buys an iPhone for $700. What is Macey’s account balance now?
Answers
Answer:
-$700
Step-by-step explanation:
Since there was no question, this is what I came to.
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1600 seats. The students left 96 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answers
How many 3/8's are in 6?
Answers
Answer:
That is 6 divided by 3/8, better written as
6
--
1
====
3
--
8
Invert the 3/8 and then multiply:
6 8
-- * ---
1 3
Reduce 6/3: 6/3 = 2
Then you have 2(8), or 16 (answer)
Answer:
There are 16 3/8's in 6
Step-by-step explanation:
6/1 divided by 3/8
Invert the 3/8 and then multiply
6/1 times 8/3
Reduce 6/3: 6/3 = 2
answer: 16
Five times a number is less
than -45.
Answers
Answer:
5x≤-45 (without the line under it)
Step-by-step explanation:
a circle is drawn through (3,2),(-1,-2) and (5,-4).find the:(a) coordinates of the centre of the circle,(b) radius of the circle,(c) equation of the circle,showing
working.
Answers
Answer:
Step-by-step explanation:
The distance from the centre to any point on the circle is called the 'radius'. ... (i) Find the centre and radius of the circle (x-2)2+(y + 5)2 =9. ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter. ... b and c. 22. Find the equation of the circle with centre (1, 3) and having the line 3x + 4y ...
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats are empty?
Answers
96/240 = 0.4 = 40%
Plsss help ASAP I DONT have time..
Answers
Answer:
6.7
Step-by-step explanation:
20.5-8=12.5 so
14.7-8=6.7
tom johnson must build a rectangular storage shed. he wants the length to be 6 ft greater than the width, and the perimeter will be 44 ft. find the length and width of the shed.
Answers
The width of the rectangular storage shed is 8 ft and the length of the rectangular storage shed is 14 ft.
Let us represent the width of the rectangular storage shed by the variable x.
The length of the rectangular storage shed is 6 ft greater than the width, we can represent it by x + 6.
The perimeter of a rectangle is the sum of the lengths of its four sides, hence it can be represented as:
2(length + width)
= 44ft2(x + 6 + x)
= 44ft
Simplify by combining like terms.
2(2x + 6)
= 442x + 6
= 22
Solve for x by isolating it on one side of the equation
2x
= 16x
= 8
The width of the rectangular storage shed is 8ft.
Then the length of the rectangular storage shed
= x + 6
= 8 + 6
= 14 ft.
Therefore, the width of the rectangular storage shed is 8 ft.Length of the rectangular storage shed is 14 ft.
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How can you rewrite 12
−
− (-5) as an addition problem?
Answers
Answer:
12+5
Step-by-step explanation:
negative times negative is postive