Answer:
Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.
Step-by-step explanation:
The requried given vectors are not parallel. As their dot product is not zero.
What is a vector?Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.
Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.
Let k be the scalar multiple such that:
u₁ = k u₂
Substituting the given values of u₁ and u₂, we get:
<2, 3> = k <-3, -2>
Multiplying both sides by -1, we get:
<-2, -3> = k <3, 2>
Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.
We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:
u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12
Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.
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HELP PLS HELP ILL MARK YOU BRAINLEST
a) 12°, 78°
b) 18°, 72°
c) 15°, 165
d) 36°, 144°
PLS HELP no bots ;(((
Enter the coordinates of the point on the unit circle at the given angle.
300 degrees
(1/_, -_/2)
Answer:
1/2 -3/2
Step-by-step explanation:
What is the standard form of the equation of a circle with center (3, - 2) and radius 4?
Answer:
(x - 3)² + (y + 2)² = 16
Step-by-step explanation:
The center is determined by what number is subtracted from the variables.
The radius is squared and set equal to the variable side.
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D? Please Help
Answer:
Step-by-step explanation:
The rectangle ABCD has vertices A(-2,2), B(6,2), C(6,3) and D(-2,3).
Now, length of side AB = [6 - (- 2)] = 8 units.
{Since the line AB is parallel to the x-axis, so the length of the segment AB will be the difference between the x-coordinates of the points A and B}
Again, line BC is parallel to y-axis and hence the length BC = (3 - 2) = 1 units.
Therefore, the area of the rectangle ABCD will be (8 × 1) = 8 sq. units. (Answer)
Answer:
8 Square Units
Step-by-step explanation:
1st answer gets brainliest!!!
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15 cm. Find its apothem (a).
PLEASE show work :))
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 15 cm², find the width.
Answer:88888888
Step-by-step explanation:
if my grade is a 77& and I get a 40% on a test what will my grade be?
Answer:
It really all depends on how much percent of your grade the test is worth. If your current average is 77%, and the test is worth 30-100% of your grade, then the 77% will likely become 75% or even 73%.
Step-by-step explanation:
It all just depends.
30 pts pls awnser all questions i give BRAINLIEST help meee
10; decreases
8: decreases, increases
7: increases, stays the same, increases, stays the same, increases.
9: increases, increases
I hope that this is correct and was able to help
8. An artist creates 8 identical ceramic bowls. The bowls contains some glass and 59.2 pounds of clay. The artist uses a
total of 73.6 pounds of clay and glass to make the bowls. Each bowl contains how many pounds of glass? If you can show your work that would be awesome
Please help. Here's the question.
Answer:
0.2
Step-by-step explanation:
U need to count how many times it goes up and divide 0.4 by 2
Answer:
x - 3.8 = y
Step-by-step explanation:
3.8 - 3.8 = 0
4.2 - 3.8 = 0.4
5.1 - 3.8 = 1.3
7.3 - 3.8 = 3.5
If the sides of a right triangle are 6 feet and 8 feet, what is the length of the hypotenuse? *
Answer:
10 feet
Step-by-step explanation:
pythagorean theorem
Answer:
Hypotenuse = 10.
Step-by-step explanation:
h^2 = 6^2 + 8^2
= 36 + 64
= 100
So h= 10.
Write a number using the following clues:
a multiple of 4
greater than 30 but less than 100
Answer:
Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,
Step-by-step explanation:
plz help, photo above
Answer:
D
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Use synthetic division to find the result when 3x^3-19x^2-12x-14 is divided by x−7.
Answer:
your look hard what grade you in
Step-by-step explanation:
What is 442.1 × 11 =
Answer: 4,863.1
Step-by-step explanation:
Someone please help me.
Answer:
Step-by-step explanation:
We can use Pythagorean Theorem to find leg BC.
[tex]AB^2=AC^2+BC^2[/tex]
[tex]24^2=12^2+BC^2[/tex]
[tex]576=144+BC^2[/tex]
[tex]BC^2=432[/tex]
[tex]BC=\sqrt{432}[/tex]
[tex]BC=2\sqrt{108}[/tex]
[tex]BC=4\sqrt{27}[/tex]
[tex]BC=12\sqrt{3}[/tex]
So, the measure of leg BC is 12√3.
If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a?
Answer:
......................................,........
expand -9(9-p)
...................................
Answer:
35
Step-by-step explanation:
Answer:
-81+9p
Step-by-step explanation:
-9(9-p)
-9×9-9×-p
-81-9×-p
-81-(-9p)
-81+9p
9p-81
PLZZZ HELP ASAP LAST ONE TYSM
Answer:
answer: 31.4
Step-by-step explanation:
the formula to finding circumference is just diameter × pi we arent given the diameter so we have to figure it out but what we do know is the radius is half of the diameter so 5 x 2 = 10 so now that we have the diameter we just multiply by pi so 10 × 3.14 = 31.4 Hope this helps!
Answer:
10 π m
Step-by-step explanation:
Given,
Radius ( circle ) = 5 m
To find : Circumference ( circle ) = ?
Formula : -
Circumference ( circle ) = 2πr
Circumference ( circle )
= 2 x π x 5
= 10 π m
Durning the summer , a shoe store sells sneakers and sandals at a ratio of 4:7 . If the store sells 164 pair of sneakers, how many pair of sneakers and sandals does the store sell in all ?
Answer:
x = number of pairs of sandals sold = 287
Total pair of sneakers and sandals sold = 451 pairs
Step-by-step explanation:
Sneakers = 4
Sandals = 7
Sneakers : sandals = 4 : 7
If the store sells 164 pair of sneakers
Let
x = number of pairs of sandals sold
Sneakers : sandals = 164 : x
Equate both ratios to find x
4 : 7 = 164 : x
4/7 = 164/x
4 * x = 7 * 164
4x = 1,148
x = 1,148/4
x = 287
x = number of pairs of sandals sold = 287
how many pair of sneakers and sandals does the store sell in all ?
Total pair of sneakers and sandals sold = Sneakers + sandals
= 164 + 287
= 451 pairs
Total pair of sneakers and sandals sold = 451 pairs
please help
will mark brainlist
Answer:
1.2, 1.6, 2.0
Step-by-step explanation:
Pythagorean theorem
A^2 +b^2=c2
1.2^2+1.6^2=2^2
1.44 + 2.56=4
4=4
Since equation works (4=4), it is a right triangle.
The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.
Answer:
a. Firat term of the sequence= 77
b. 29th term of the sequence= -35
c. Sum of the first 40 terms of the sequence= -40
Step-by-step explanation:
The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
Given that, [tex]a_{15} =21[/tex] and d=-4.
What is the nth term of the arithmetic sequence?The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].
To find the first term of the sequence:
[tex]a_{15}[/tex]=a+(15-1)(-4)
⇒21=a+(15-1)(-4)
⇒a=77
To find the 29th term of the sequence:
[tex]a_{29}[/tex]=77+(29-1)(-4)=-35
To find the sum of the first 40 terms of the sequence:
The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]
[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]
=20(154-156)=-40
Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
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Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p = 0 and q +0
• A= and B=;
What conclusion can Keisha make?
Answer: b
Step-by-step explanation: b
If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
A) the slope of the line AB
B) The length of the line AB
Answer:
Slope = 27/11AB = 29.15 uStep-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,
[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]
Plug in the respective values ,[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]
Hence the slope of the line is 27/11 .
[tex]\rule{200}2[/tex]
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]
Hence the length of AB is 29.15 units .
help plz 30 points and brainliest! <3
An airplane flies 285 miles in 5 hours. What is its average speed in miles per hour?
PLEASE HELP ASAP!!!!!!
Answer:
57
Step-by-step explanation:
Speed = Distance / Time
distance = 285
time = 5 hours
285/5 = 57
Find an equivalent ratio in simplest terms: 15 : 27
Does anyone know what the formula is?
Answer:
29.50 degrees to the nearest hundredth.
Step-by-step explanation:
First we can find the measure of < CGB by using the Cosine Rule:
cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)
= -0.61936
So m < CGB = 128.27 degrees.
Now we can find the measure of x by using the Sine Rule:
11 / sin 128.27 = 6.9 / sin x
sin x = 6.9 * sin 128.27 / 11
= 0.49248
x = 29.5035 degrees
Answer:
x is around 29.5
Step-by-step explanation:
Let's just use the law of cosines.
[tex]c^2 = a^2 + b^2 - 2ab\cos\angle (ab)\\\\6.9^2 = 5.3^2 + 11^2 - 2\cdot5.3\cdot11\cdot \cos x^{\circ}\\47.61 = 28.09 + 121 - 116.6\cdot\cos x^{\circ}\\~\\cos x^{\circ} = \frac{149.09 - 47.61}{116.6} = \frac{101.48}{116.6}\\~\\x^{\circ} = \arccos\frac{101.48}{116.6}\\~\\x^{\circ} \approx 29.5^\circ[/tex]
Janet walks 950 metres every day. Determine what distance would Janet walk in an entire week. Express your answer in kilometres. (Remember to show your work
Answer:
6.65 kilometers
Step-by-step explanation:
950 * 7 days a week = 6650 meters
6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers
Answer:
6.65 km
Step-by-step explanation:
Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable
[tex]\frac{950}{1}=\frac{x}{7}[/tex]
Step 1: Switch sides
[tex]\frac{x}{7}=\frac{950}{1}[/tex]
Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{7}=950[/tex]
Step 3: Multiply both sides by 7
[tex]\frac{7x}{7}=950\cdot \:7[/tex]
Step 4: Simplify
[tex]x=6650[/tex]
Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers
Therefore, Janet would walk 6.65 km in an entire week
Right triangle A B C. Side A C is 10 meters, side B C is 20 meters, and hypotenuse A B is blank.
Find the area of the triangle.
a.
620 sq. m
c.
100 sq. m
b.
200 sq. m
d.
180 sq.m
Answer:
C) 100 sq. meters
Step-by-step explanation: