The answer is (a) 1/√5 ( i-2j).
We can find the normal vector to the surface by computing the gradient of the surface and evaluating it at the given point.
The surface is given by the equation:
f(x, y) = 2x² - 2xy + yx
Taking the partial derivatives with respect to x and y:
fx = 4x - 2y
fy = x + 2
So the gradient vector is:
∇f(x, y) = (4x - 2y)i + (x + 2)j
Evaluating this at the point (2, 4):
∇f(2, 4) = (4(2) - 2(4))i + (2 + 2)j = 4i + 4j
To get a unit normal vector, we divide this by its magnitude:
|∇f(2, 4)| = √(4² + 4²) = 4√2
n = (4i + 4j)/[4√2] = 1/√2 (i + j)
To find a normal vector that is also a unit vector, we divide by its magnitude again:
|n| = √2
n/|n| = 1/√2 (i + j)
So the answer is (a) 1/√5 ( i-2j).
To know more about vector refer here:
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can earn 5 coins
Which of the following situations are equal to 5? Select all that apply.
A) 25% of 20
B) 10% of 50
C) 10% of 40
D) 50% of 10
E) 50% of 8
Answer:
B) 10% of 50
Step-by-step explanation:
B) 10% of 50hjxhsujwsdvnidfohiefhiedhefbeefuebfeufbeufrbfrgfeufgeudgegdeudgegdej
correct options arere A,B,D
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
pls help me!!!!!
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2.
What is the length of side AB of the triangle?
3
5
Square root of 6
Square root of 13
Answer:
pleasss mark me as brainliest answer the answer is on the pic just tap it
Answer:
6 unit squares
Step-by-step explanation:
count the square inside the shape and beside it
Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. A 2-column table with 7 rows. The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17. The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1. What statement is true about the mean of the sums of the two spinners? The mean is 12. The mean is 16. The mean is the same as the median. The mean is the same as the range.
Answer:
c
Step-by-step explanation:
edg 2021
no one bothers to read why anyways
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
We have given,
Violet creates two spinners for a game.
Each spinner is spun once, and the sum is recorded.
The table represents the sums of the spinners and the frequency of each sum.
A 2-column table with 7 rows.
What is the sum ?
The sum is the forword counting of the numbers.
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
The follow me to get 50 points.
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every angle of a equilateral triangle is_____.
Mark can type 20 words a minute.
How many words can be typed in 7.5 minutes?
Answer: if im correct it should be 9,000 words because you have to multiply 7.5 by 60 because you have to convert it to seconds and then you multiply 20 by 450 ( 7.5 * 60 = 450 ) and then you would have 20 * 450 = 9,000
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
20 x 7.5= 150what is the answer to 2 (r-4)+5(r+2
Answer:
7r + 2
Step-by-step explanation:
I hope this helps have a great day
I need help really fast!!!
Answer:
by using Pythagoras law
16²=(2x²)²+(2x²)²(since base angle of isosceles triangle is equal
16²=4x⁴+4x⁴
16²=16x⁴
16=x⁴
[tex]x = \sqrt[4]{16} [/tex]
x=2
12 + x = - 3 ( 4 – x )
Answer:
x=12
Step-by-step explanation:
12+x=-12+3x
-2x=-24
x=12
Answer:
x=12
Step-by-step explanation:
12+x=-3(4-x)
12+x=-12+3x
2x=24
x=12
Could you please help me? Thank you!
Answer:
steak
Step-by-step explanation:
you can touch the steak
you can eat the steak
you can smell the steak
you can hear the steak sizzle
you watch the steak as it cooks
the difference of two numbers is 8. their sum is 17. find the two numbers?
9514 1404 393
Answer:
4.512.5Step-by-step explanation:
Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...
s + (s+8) = 17
2s = 17 -8 = 9
s = 9/2 = 4.5
s+8 = 4.5 +8 = 12.5
The two numbers are 4.5 and 12.5.
_____
Comment on problems of this type
A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...
two numbers = (sum ± difference)/2
Here, that is ...
two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)
write the fraction in ascending order.
from most to least:
i: 1/2, 1/3, 1/7, 1/10
ii: 2/3, 2/5, 2/9, 2/11
iii: 5/6, 3/4, 2/3, 1/2
iv: 4/5, 3/4, 5/8, 1/2
what is 1.4504 rounded to the neareast cent
Answer:
$1.45
When writing about money, you use the two places after the decimal. In the third place, the number is 0 which rounds down.
pls help !!!!!!!!!!!!!!
Lucy wasn't allowed to have any pets so she collected stuffed animals instead. She had 36 animals total. 3/12 of them were bears and 4/6 of them were dogs. What fraction of the animals were either dogs or bears?
Square root of 9 + square root of 64?
Answer:
11...................
Answer:
11
Step-by-step explanation:
the sqare root of something is a number x its self ex.
3x3=9 so the sqare root of 9 is 3
and 8x8=64 so the sqare root of 64 is 8
so the simplified equation is 8+3=11
help me out pls (math so imp)
Step-by-step explanation:
use the formula to calculate area of triangle.
The temperature in Minneapolis changed from -7 °F at 6 A.M. to 7°F at noon. How much did the temperature increase?
Answer:
14 degrees F
Step-by-step explanation:
Answer:
Step-by-step explanation:
from -7 degrees F to 0 are 7 degrees change
from 0 to 7 are also 7 degrees,
in total are 14 degrees in change
Explain how you can use ratios of the side lengths to find the angle measures of the acute angles in a right triangle.
Answer:
The answer is below
Step-by-step explanation:
Triangles are polygons with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled triangles.
Trigonometric identities are equations that uses trigonometric functions to show the relationship between the angles in a right angle triangle and the sides of the right angled triangle.
If θ be an acute angle in a right angled triangle, hyp. is the hypotenuse side of the angle, opp. is the opposite side to the angle and adj. is the adjacent side to the angle, then:
sinθ = opp. / hyp.v; cosθ = adj. / hyp. ; tanθ = opp. / adj.
PLSS HELPPP
FIRST PERSON TO ANSWER GETS BRAINLIEST!!!
Answer:
top angle: 38bottom left: 77bottom right: 65Step-by-step explanation:
HElp please thanks I’ll give Brainly
Answer:
3
Step-by-step explanation:
its 3 just trust me
Are the ratios 16:8 and 4:2 equivalent?
PLS HELPPPPP!!!!!!! The probability that a student plays Animal Crossing is 8%. What is the probability that a student does not play Animal Crossing?
Answer:
92%
Step-by-step explanation:
100-8=92
Answer:
91%
Step-by-step explanation:
If 8% is 8 out of 100, then the rest would be 91%, out of 100.
Tyrone has 16 model airplanes on his shelf. He has 4 times as many model airplanes as model trains. How many model trains does Tyrone have?
Write multiplication and division equations to model and solve the problem. Use m for the unknown
Step-by-step explanation:
4m =16
divide both sides by 4
m = 4
he has 4 model trains
please help I will give Brainlyest
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form? (2 points)
Group of answer choices
143
314
14 ⋅ 3.
14 ⋅ 14 ⋅ 14
Flag this Question
Question 23 pts
(06.01)
Simplify the expression 43 + 2(3 − 2). (3 points)
Group of answer choices
14
16
66
68
Flag this Question
Question 33 pts
(06.04)
What is the value of 5 + 3x when x = 4? (3 points)
Group of answer choices
12
17
32
86
Flag this Question
Question 410 pts
(06.02)
Match the verbal expression with its algebraic expression. (10 points)
Group of answer choices
x3
[ Choose ]
b ÷ 3
[ Choose ]
3a
[ Choose ]
y − 3
[ Choose ]
z + 3
[ Choose ]
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Question 52 pts
(06.03)
For the expression y + 6 − 3, determine the coefficient for the variable term. (2 points)
Group of answer choices
0
1
3
6
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Question 66 pts
(06.03)
9(5x + 1) ÷ 3y
From the expression above, provide an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present." (6 points)
p
0 words
Flag this Question
Question 74 pts
(06.04)
4x + 1 over 3 y2
What is the value of the expression above when x = 2 and y = 3? You must show all work and calculations to receive full credit. (4 points)
hellllllp
Answer:
number one :
volume = LxWxH
as it is a cube all lengths are the same substitute the values in V= 14x14x14
exponent are when you multiply a value by itself for example 2x2 can be written as 2²
in this case , the answer would be option 1.14³
Identify the factors of x^2 − 4x − 12. (4 points)
a(x + 4)(x − 3)
b(x − 4)(x + 3)
c(x − 2)(x + 6)
d(x + 2)(x − 6)
Answer:
(x-6)(x+2)
Step-by-step explanation:
Yesterday, Jack drove 45 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unit rate for miles per
gallon?
Answer: 36.4mpg
Step-by-step explanation:
45.5 : 1.25 = ? : 1
45.5 ÷ 1.25 = 36.4 mpg
Note- It would mean the world to me if you could mark me brainliest!
I am not a professional, I am simply using prior knowledge! That car also gets excellent gas mileage!
help ?? ;;
um i cant find the answer to this question so any answer that makes sense would help !!
Answer: It's the top left because the line passes through 10 on the y axis.
Describe the transformation that took place if f(x)=x? became f (x) = 0.2(x - 5)2 – 2
Surat As-Sajdah is Surah:
options:
a) Makeya
b) Madaniya
Answer:
a
Step-by-step explanation:
SURAH AS-SAJDHA IS MAKEYH SURAH