Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
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IM SO DUMB PLS HELP ME I THINK THIS IS ALGEBRA I DONT KNOW??
Answer:
#1 350 trees
#2 10 people
Step-by-step explanation:
58 = k + 6 show work if u can
Answer:
[tex]k = 52[/tex]
Step-by-step explanation:
Isolate k:
[tex]58 - 6 = k + 6 - 6[/tex]
solve for k:
[tex]k = 52[/tex]
Answer:
The answer is 52. Like it says move everything to one side
help lol i need good help-
Answer:
with what
Step-by-step explanation:
Kala, Chau, and Deshaun have a total of $68 in their wallets. Deshaun has 2 times what kala has. Kala has $8 less than Chau. How much do they
have in their wallets?
Amount in Kala's wallet:$
Amount in Chau's wallet:$
Amount in Deshaun's wallet:$
1. - 2(x + 11) = -18
Answer:
x = - 2
Step-by-step explanation:
Step 1:
-2 ( x + 11 ) = - 18 Equation
Step 2:
- 2x - 22 = - 18 Multiply
Step 3:
- 2x = 4 Add 22 on both sides
Step 4:
x = 4 ÷ - 2
Answer:
x = - 2
Hope This Helps :)
find the distance from point A to the given line
A(2,-1), y=-x+4
Answer:
using distance formula you can solve it
Image by Scientif3
Name all of the obtuse angles that share a side with ZVON.
A. ZNOS, ZNOP, ZNOQ, VOS, ZV00, ZVOP
B. ZNOS, ZNOT, ZNOV, ZVOR, ZVOU, ZVOP
C. ZNOS, ZNOT, ZNOR, ZVOR, ZVOQ, ZVOP
D. ZNOS, ZNOT, ZNOU, ZVOR, ZVOQ, ZVOP
Please select the best answer from the choices provided
4(5 – w) = –2(2w – 3)
The price of an item has been reduced by 45%. The original price was $85.
Answer:
$38.25
Step-by-step explanation:
Answer:
Sale Price: $85 * 0.55 = $46.75
Step-by-step explanation:
Expand.
Your answer should be a polynomial in standard form.
(b^2 + 4b + 4 )(-b+3)=
(b2+4b+4)(-b+3)
(b2)(-b)+(b2)(3)+(4b)(-b)+(4b)(3)+(4)(-b)+(4)(3)
-b3+3b2-4b2+12b-4b+12
-b3-b2+8b+1
Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding in the same direction at a slower pace for 30 more minutes. Sketch a graph of the relationship of Jackson’s distance from home over time.
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
In triangle ABC, angle A is 35 and angle b is 20 select all triangle which are similar to triangle ABC.
Answer:
The similar one are 1 and 5
A. Triangle DEF where ∠D is 35° and ∠E is 20°.
C. Triangle JKL where ∠J is 35° and ∠L is 125°.
D. Triangle MNO where ∠N is 20° and ∠O is 125°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles of a triangle is equal to 180°.
Given, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure.
So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20°.
Triangle JKL where ∠J is 35° and ∠L is 125°.
Triangle MNO where ∠N is 20° and ∠O is 125°.
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13.
WRITE Math Write a word problem that involves two fractions.
Include the solution.
Please help fast
Answer: If you have 2/3 cup of water and 3/5 cup of oil, how huch liquid do you have in total?
1 and4/15
Step-by-step explanation:
6 Bridesmaids want to make 330 decorations for a wedding. Each
decoration takes about 2 4 minutes to make. How many hours will it take
for each person to make all the decorations?
Answer:
about 3.21 hours each
Step-by-step explanation:
First divide 330 by 6 since there are six people.
Every person needs to do 55 decorations.
I would take the average of 2-4 minutes and multiply it by 55.
55 x 3.5 = 192.5 minutes
to convert to hours divide by 60.
192.5 / 60 = 3.21
-15= x/-0.5 8= what does x equal
percent change of 14 books to 40 books
Answer:
185.714285714%
A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%
if a dinosaur has a mass of 55g, what is his density
Answer:
32ounces I think
Step-by-step explanation:
Jack plots points showing equivalent ratios on the coordinate plane above.
which ordered pair if plotted above would represent a ratio that is equivalent to those shown?
Answer:
(4,18)
Step-by-step explanation:
it would fit right into the line. i hope this helps.
1. What is the solution of n^2-49=0?
a.-7
b.7
c.+7
d. no solution
2.What is the solution of x^2+64=0?
a.-5
b.8
c.+8
d.no solution
3.What is the side length of a square with an area of 144x^2?
a.12
b.12x
c.+12x
d.no solution
4.What is the value of z so that -9 and 9 are both solutions of x^2+z=103?
a.-22
b.3
c.22
d.184
Answer:
it would be d for #1 because it has no solution for the question
If you are buying at item at a store for a price of $72, and there is a 6.2% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
Sale Tax($): 4.5
Step-by-step explanation:
Before Tax Price ($): 72
Tax Rate (%): 6.2
Final Price Including Tax ($): 76.46
Sale Tax($): 4.46
Answer:
76.46
Step-by-step explanation:
solve each system by graphing.
Alatio is used to make comparisons between 2 quantities.
O True
O False
Answer: True
Step-by-step explanation:
Each of Liam's neighbors pays him the same amount for walking one of their dogs. Last week, he earned $25 for
walking 4 of his neighbors' dogs. Which graph below best represents the linear relationship between x, the number of
dogs Liam walks, and y, the total amount of money he earns for walking them?
Answer:
The options are not shown, but we can craft the graph so you can find the one that matches it.
We know that:
Each neighbor pays the same, let's define this amount as A.
Last week, he walked 4 dogs, then the amount that he collected must be four times A, or:
4*A
And we know that this amount is $25, then:
4*A = $25
A = $25/4 = $6.25
Then we can write the relationship:
y = $6.25*x
where:
y = money that Liam earns.
x = number of dogs Liam walks.
The graph of this line is shown below.
using powers of 10, which would be the best choice for the first number to subtract in the division problem 4860/15?
Answer:
150
Step-by-step explanation:
I hope I'm right
3x + y = 15 What is the solution of this system of equations? (5x+2y=-4
Answer:
x=34 y=-87 (34,-87)
Step-by-step explanation:
3x+y=15 rewrite to solve for y -----> y=15-3x
5x+2y=-4
Plug y=15-3x into 5x+2y=-4
So, 5x+2 (15-3x)=-4
Distribute: 5x+30-6x=-4
Combine like terms: 30-x=-4
Solve for x -x=-34
Solve for x x=34
Then, to solve for y, plug "x" into 3x+y=15
So, 3(34)+y=15
Distribute: 102+y=15
Solve for y y=-87
b. y =
Choose the equation for the graph
below.
2x-6
a. y =
x+4
3
4x+8
5x+10
C. y =
x²-1
–3x²
2x+6
- 2x2
e. y =
x²_9
d.y=
Answer:
2 4 23
Step-by-step explanation:
What is the inverse of the function shown( in the form of a graph)
Answer:
[tex] y = - 1x + b[/tex]
Step-by-step explanation:
The inverse of a slope is the exact opposite slope of the original. I'll show a function below where you can easily solve future problems if you need to.
[tex] - \frac{1}{m} x[/tex]
m is the slope, so for the equation above, you simply insert the original slope, being 1, in the equation.
[tex] - \frac{1}{1} x \\ - 1x[/tex]
So the inverse slope would be -1.
Answer:1/2x
Step-by-step explanation:
Start with n and subtract 6
Answer:
n-6
Step-by-step explanation:
FInd the value of x if L, M belongs to line KM
Answer:
k
Step-by-step explanation:
k=k
The original Volkswagen Beetle follows
a quadratic curve, write an equation if
the height is 5 feet long and the length
is 14 feet long. Show your work in the
sketchpads below.
Answer:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
Step-by-step explanation:
In order to solve this, we need to start by drawing a sketch of what the problem looks like (see attached picture).
From the picture, we can see that the graph of the equation should be a parabola with a vertex located at the point (0,5) and x-intercepts located at (-7,0) and (7,0) respectively.
So, there are two ways in which we can build a quadratic equation:
Standard form:
[tex]y=ax^{2}+bx+c[/tex]
or
Vertex form:
[tex]y=a(x-h)^{2}+k[/tex]
Since we already have the vertex and two points on the equation, we can directly use the vertex form. Where vertex is located at the coordinates (h,k)
So in this case: h=0 and k=5, which simplifies our equation a lot:
[tex]y=a(x-0)^{2}+5[/tex]
[tex]y= ax^{2}+5[/tex]
So we only need to find the value of a for our equation to be complete. We can use either x-intercept to find this. Let's use the point (7,0) so we get:
[tex]0=a(7)^2+5[/tex]
and now we can solve for a:
[tex]-5=49a[/tex]
[tex]a=-\frac{5}{49}[/tex]
so this completes our equation:
[tex]y= -\frac{5}{49}x^{2}+5[/tex]
whose graph looks like the one in the attached picture.
