(a) The vector that starts at the origin, moves 2 units to the left, and 2 units down and then the vector that starts at the origin, moves 6 units to the left, and 8 units up.
(b) A vector pointing in the same direction as →v, but with a magnitude of 1. This is known as a unit vector.
Given the vector →v = ⟨-4,3⟩, we can sketch it on a coordinate plane by starting at the origin (0,0) and moving -4 units to the left (since the x-component is negative) and 3 units up (since the y-component is positive). This gives us a vector pointing in the direction of the upper left quadrant.
To sketch -3→v, we can simply multiply each component of →v by -3, resulting in the vector ⟨12,-9⟩. This vector will point in the same direction as →v but will be three times as long.
To sketch 1/2→v, we can multiply each component of →v by 1/2, resulting in the vector ⟨-2,3/2⟩. This vector will be half the length of →v and will point in the same direction.
To sketch the vectors →w, →v-→w, and 2→v+→w, we need to be given →w. Without this information, we cannot sketch these vectors. However, we can discuss how to manipulate vectors algebraically.
To add two vectors, we simply add their corresponding components.
→v+→w = ⟨-4,3⟩+⟨2,-5⟩ = ⟨-2,-2⟩.
This gives us the vector that starts at the origin, moves 2 units to the left, and 2 units down.
To subtract two vectors, we subtract their corresponding components. →v-→w = ⟨-4,3⟩-⟨2,-5⟩ = ⟨-6,8⟩.
This gives us the vector that starts at the origin, moves 6 units to the left, and 8 units up.
To find a unit vector in the direction of →v, we first need to find the magnitude of →v, which is given by the formula
=> ||→v|| = √((-4)²+(3)²) = √(16+9) = √25 = 5
Then, we can find the unit vector by dividing each component of →v by its magnitude: →u = →v/||→v|| = ⟨-4/5,3/5⟩.
This gives us a vector pointing in the same direction as →v, but with a magnitude of 1. This is known as a unit vector.
To know more about vector here
https://brainly.com/question/29740341
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Which of the following is a tautology?
a. Proposition
b. Modus Tollens
c. Argument
d. Affirming the Disjunct
Answer the photo below thanks
Answer: C. Never
Similar polygon are never different shapes. They are always the same shape. As usual, read the question carefully before choosing an answer.
Step-by-step explanation: hope this help:)
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
Answer:
17/60 yards of scarf
Step-by-step explanation:
If 5 friends each had one part of a scarf that's 1 and 5/12 yards long what fraction of the scarf could each friend knit
To solve the above question:
5 friends = 1 5/12 yards
1 friend = x yards
Cross Multiply
5 × x = 1 × 1 5/12 yards
x = 17/12 yards ÷ 5
x = 17/12 yards × 1/5
x = 17/60 yards of scarf
Answer:
its D
Step-by-step explanation:
1x5/12 + 5/12 1 X 5 = 5 SO 1 X 5/12 IS D
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1), m= 7
Answer:
y=7x+22
Step-by-step explanation:
the equation of a line is y=mx+b
we know that 7 is m so
y=7x+b
but we got to find b
so we use the point (-3,1) and substitute in our equation
1=7(-3)+b
lets find b
1= -21+b
22=b
okay then we found b now lets go to our original problem and substitute b
y=7x+22
I hope this helped you :)
I really really need help fast please
Answer:
-4.24264069; -4.2 (nearest tenth); -4.24 (nearet hundreths)
Step-by-step explanation:
square root of 72 = 8.48528137 or 8.5 (rounding to tenths)
square root of 2 = 1.41421356 or 1.4
square root of 128 = 11.3137085 or 11.3
-2.7F + 0.4F - 11 - 9
How do I solve this, like I understand the first few parts but when I have to combine Like terms I get stuck♀️
Answer:
-2.3F-20
Step-by-step explanation:
-2.7F + 0.4F - 11 - 9 = -2.3F-20
Answer:
I think when you collect all the like terms the equation comes out to be
Step-by-step explanation:
-2.3F - 20
what does -2x + 9 look like on a graph?
Answer:
The line of the graph will be going down 2/1 and will pass through the y intercept at 9.
Step-by-step explanation:
Hope this helps a little.
Answer:
this
Step-by-step explanation:
use desmos if u need more help
Spiral Review. Find the value of the expression below
9 + 4³ x (20 - 8) ÷ 2 + 6
WRONG ANSWERS REPORTED
Answer:
399
Step-by-step explanation:
9+4^3*(20-8)/2+6
9+(4)(4)(4)(12)/2+6
9+64(12)/2+6
9+768/2+6
15+768/2
15+384
399
THEY ARE REAL- PLEASE THEY AREN’T FAKE
PLLSSS OMGG IM CRYINGG THE LITTLE HATT
solve for x solve for x
Answer:
x=5
Step-by-step explanation:
since two sides are congruent, the two unknown angles are congruent.
All triangle angles total 180 degrees.
so:
180-88=92
92/2=46
9x+1=46
9x=45
x=5
Answer:
The answer is x=5
m + 1 = 8
But what’s the m=__
Answer:m= 7.
Step-by-step explanation: first you do 8-1. 8-1 gives you 7. Therefore m=7
Answer: m = 7
Explanation: When you're asked to solve for m in an equation, what you're really being asked to do is to get m by itself on one side of the equation.
In this problem, since 1 is being added to m, in order to get m
by itself, we must subtract 1 from the left side of the equation.
If we subtract 1 from the left side of the equation, remember that
we must also subtract 1 from the right side of the equation.
So on the left, +1 and -1 cancel each other out
and on the right, 8 - 1 simplifies to 7.
So m = 7.
why is 60% greater than 3.75
116 is less than a number, R increased by 35?
Answer:
R - 116 + 35 is your expression I am pretty sure
CAN SOMEONE ANSWER PLEASEEEEEE I SUCK AT MATH
Answer:
area = 472 in^2
Step-by-step explanation:
19 x 8 x 3 = 456 in^2 for large rectangle
1/2 x 2 x 8 x 2 = 16 in^2 for triangles
area = 456 + 16 = 472 in^2
An Math problem that involves decimals and = 5
Daniel want to know the volume of his cube, he notices the the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer: 1/125cm³
Step-by-step explanation:
The volume of a cube is gotten by multiplying the side length given by itself thrice.
Since the cube in the question has a side length of 1/5cm, the volume of the cube will be:
= 1/5 × 1/5 × 1/5
= 1/125cm³
Therefore, the volume of the cube is 1/125cm³
Mary drove from her home to the library after she left the library she drove to the park after that she drove home the map shows the past you took how far did Mary Drive?
Answer:
24 miles
Step-by-step explanation:
Distance formula (d):
D = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Home to library
(-4, 1) ; (-4, 9)
D1 = sqrt((-4 + 4)^2 + (9 - 1)^2)
D1 = 8
Library to park :
(-4, 9) ; (2, 1)
D1 = sqrt((2 + 4)^2 + (1 - 9)^2)
D3 = 10
Park to home :
(2, 1) ; (-4, 1)
D1 = sqrt((-4 - 2)^2 + (1 - 1)^2)
D2 = 6
WILL MARK AS BRAINLIEST Write a complete Spanish sentence to indicate what the following people
eat/drink each day. Make sure to capitalize the first word of the sentence, end
with a period and include the correct article (el, la, los, las)! If there is more
than one of an item, you need to make that food/beverage plural. Follow the
model.
The perimeter of a rectangular atrium is 300 yards. The length of the garden is ninety-six yards more than the width. Find the length and the width
Answer:The perimeter of a rectangular atrium is 27 yards in width and 123 yards in length.
Step-by-step explanation:
Step 1
The perimeter of a rectangular atrium is given as 2( l+b)
The perimeter of a rectangular atrium is 300 yards.
Let the width be represented as x
such that the
The length of the garden which is ninety-six yards more than the width is expressed as x+ 96
and the expression to solve for length and width will now be
Step 2
Perimeter = 2(l+b) = 2l + 2b
300=2( x+96) + 2 x
300= 2x+ 192 + 2x
300= 192+ 4x
300-192=4x
108=4x
x=108/4
x=27
width = 27 yards
length = x+ 96= 27 +96=123 yards
The naturalist found 9 bright blue poisonous frogs in South America. Each frog weighed 3 grams. In all, how much did the 9 frogs weigh? A) 39 grams in all B) 27 grams in all C) 12 grams in all D) 36 grams in all
Answer: B) 27 grams in all
Step-by-step explanation:
Given: The weight of each bright blue poisonous frog = 3 grams
By using the multiplication operator (x)
Then, the weight of 9 such frogs = 9 x (Weight of each frog)
⇒ The weight of 9 frogs = 9 x 3 grams
⇒ The weight of 9 frogs = 7 grams
Therefore, the correct option is B) 27 grams in all
James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply.
Answer:
B. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.
E. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.
Step-by-step explanation:
P1: 12^2+15^2=20^2 144+225=400 369=400
P2: 16^2+30^2=34^2 256+900=1156 1156=1156
P3: 20^2+21^2=29^2 400+441=841 841=841
P4: 18^2+20^2=26^2 324+400=676 724=676
So the answers are B and E
Answer:
b and e
Step-by-step explanation:
if k is the incenter of def find each measure
Answer:
Step-by-step explanation:
What will be the answer?
Answer:
150 shld be the answer ... Option E
Step-by-step explanation:
MARK ME THE BRAINLIEST PLZZZZ
5 minutes left!!! HELP!!!
The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount?
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 1.1% per hour. How many hours does it take for the size of the sample to double?
Answer:
2.2 i thinkkk
Step-by-step explanation:
Which expression is a factor of 36x2−9?
6x−9
18x−9
6x−3
18x−3
Answer:
C
Step-by-step explanation:
Comment
This is called the difference of squares. Both sides of the minus sigh must be perfect squares or able to be factored in such a way that you are left with perfect squares. 36x^2 is a perfect square. If you take its square root, you get √36x^2 or 6x. That makes B and D incorrect. So what about A and C?
A:The left side of 36x^2 is correct, but the right side is not. The left side of 36x^2 has a square root of 6x.
The right side has been left alone and it shouldn't be.
The 9 is a perfect square. Its square root is 3. That makes C the answer.
If a submarine descends to the ocean floor which is 2,100 feet below sea level in 3 hours, what is the rate of descent?
Answer:
700 feet per hour is the rate of descent
Step-by-step explanation:
3 hours is 2100 so 2100/3 is 700 which is per hour
If the circumference of a circle is 62.8 feet what is the radius of the circle
Answer: r≈ 9.99ft
Using the formula
C=2 π r
Solving for r
r= C/2π = 62.8/2·π ≈9.99493ft
11 ounces of tomato soup has 70 calories. How many calories are in 22
ounces of soup? *
Answer:
140 ounces
Step-by-step explanation:
We use ratio and proportion.
[tex]\frac{11}{22} =\frac{70}{x}[/tex]
Cross multiply, and you get:
11x = 1,540
Divide both sides by 11. Thus:
140 ounces.
Answer:
140
Step-by-step explanation:
70/11 = 6.363636364
6.363636364 * 22 = 140
A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. Find the speed of the boat as she paddles the lake if the river current is 2 km/h.
Answer:
5 or 6
Step-by-step explanation:
So I did it in a different way than shown in rsm classes. I said that the speed was x-2 and x.
then I said the distance was 6 and 15. If the time taken was 1 hour more, then we can come up with this equation:
Since the time is 6/x-2 or 15/x
15/x-6/x-2=1
multiply everything to get a common denominator then cancel it out to get
(15x-30)-6x=x^2-2x
11x-30=x^2
x^2-11x+30=0
(x-5)(x-6) is factored form.
so x=5 or x=6. this means that the speed of the boat is either 5km/h or 6 km/h