A closed under addition can be proved if the sum of any two members of the set also belongs to the set.
We can take any two even integers and add them together. The result is an even integer. A set is closed under scalar multiplication if the product of any member and a scalar is also in the set. In other words, if x is in S and a is any scalar then ax will be in the set if the set is closed under scalar multiplication. For example, the set of 2 x 2 diagonal matrices is closed under scalar multiplication.
For example,
A = {( x, y) , y = 0 }
B= { (x, y) , x+ y = 1 }
Typical elements of A are (1,0), (2,0). The element (1,1) is an element not in A. Typical elements of B are (1,0), (1/2,1/2). The element (1,1) is an element not in B. Now A and B carry an addition that is (x, y)+(x', y')=(x + y, x' + y')). Saying that A is closed under addition just means that whenever you take two elements in A, the sum of those elements is again in A. Let's check if this is the case: two elements in A have the form (x, 0) and (x', 0). The sum of those elements is (x + x', 0), and this is again in A. Thus A is closed under addition.
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Worth five points! Will mark the first person who answered with an actual correct answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
Triangle DEF is an isosceles triangle.
DE = EF
m⦟D = 26°
What is m⦟F?
A. 26°
B. 64°
C. 77°
D. 128°
Answer:
The answer is 77 degrees
in 1910, halley's comet traveled close to earth about 1/7 of the distance from the earth to the sun. Earth's distance from the sun is 149.6 million kilometers. ( if u answer all them i'll give u brainliest but if not its alr)
1. How close was halley's comet to earth in 1910?create an equation to answer the question.
2. estimate the next 3 years when halley's comet will appear.
3. the core of halley's comet is oblong in shape, with its longest dimension 16 km long. earth's diameter is about 12,700 km . how many times larger in diameter is earth than halley's comet?
1) In 1910, Halley's Comet was 21.37 million kilometers close to Earth.
2) Given that Halley's Comet orbits the sun at about 75 years, and that the last time it passed near the Earth was in 1986, the years in which it will happen again will be 2061, 2136 and 2211.
3) Earth is 794 times larger in diameter than Halley's Comet.
Since in 1910, Halley's Comet traveled close to Earth about 1/7 of the distance from the Earth to the Sun, and Earth's distance from the Sun is 149.6 million kilometers, to determine 1) how close was Halley's Comet to Earth in 1910, 2) estimate the next 3 years when Halley's Comet will appear, and 3) if the core of Halley's Comet is oblong in shape, with its longest dimension 16 km long, and Earth's diameter is about 12,700 km, how many times larger in diameter is Earth than Halley's Comet, the following calculations must be performed:
1)
149.6 / 7 = X 21.37 = X
2)
1986 + 75 = 2061 2061 + 75 = 2136 2136 + 75 = 2211
3)
12700/16 = X 793.75 = XLearn more about maths in https://brainly.com/question/26088658
The relationship between Halley's comet and the earth is an illustration of proportions
The given parameters are:
Earth's distance from the sun = 149.6 million kilometersHalley's comet traveled close to 1/7 of the distance.(a) The distance
The distance which Halley's comet get to is calculated using:
[tex]d = \frac 17 \times 149.6\ million\ km[/tex]
So, we have:
[tex]d = 21.37\ million\ km[/tex]
Hence, Halley's comet was 21.37 million kilometers close to the earth in 1910.
(b) The next three years it will appear
From the complete question, the comet is visible every 74 years.
It appears in 1910.
So, the next three years are:
[tex]Year\ 1 = 1910 + 74 = 1984[/tex]
[tex]Year\ 2 = 1984 + 74 = 2058[/tex]
[tex]Year\ 3 = 2058 + 74 = 2132[/tex]
Hence, the comet will appear in 1984, 2058 and 2132.
(c) The number of times the earth is larger
The diameter of the earth is given as: 12700 km, while the longest dimension of the oblong shaped comet is 16 km.
So, the number of times (n) which the earth is greater than the comet is:
[tex]n = \frac{12700}{16}[/tex]
[tex]n = 794[/tex] --- approximated
Hence, the diameter of the earth is 794 times larger than Halley's Comet.
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What is the value of x?
X
Answer:
30°
Step-by-step explanation:
Subtract
9x2 + 7x - 2 from 8x – 10.
Answer:
[tex]9x^{2}[/tex] − 19x + 12
Step-by-step explanation:
Which side lengths will NOT form a triangle? *
8.5 in., 12.5 in., 16 in.
5.5 in., 7.5 in., 13 in.
6 in., 8 in., 8 in.
11 in., 10 in., 9 in.
Answer:
The 6in, 8in, 8in one.
Step-by-step explanation:
Please answer!(20pts) Each month your parents deposit $75 into your college fund. The account pays an annual rate of 3.5% compounded monthly. to the nearest whole dollar, how much will be in your college fund after 12 years?
Please help me I’ll mark brainliesttt
Answer:[tex]\sqrt{93}[/tex]
Step-by-step explanation:
Pythagoeraen theorm. 14^2+x^2=17^2
Answer:9.64 is the correct answer
Step-by-step explanation:
By Phythagorean theorem
hypotenuse^2=base^2+altitude^2
(17)^2=(14)^2+(x)^2
289=196+x^2
289-196=x^2
93 =x^2
taking square root on both sides
x=9.64
Evaluate the expression for b = 0 and c= -11.
bc + b
Answer:
If b = 0 and c = -11, all you have to do is plug in the values into bc + b:
Step-by-step explanation:
(0)(-11) + 0 = 0
Answer:
0
Step-by-step explanation:
The answer would be 0 because (0)(-11)+0=0 since the 0 cancels out the -11 and anything added by 0 is the number.
Find the value of x.
Answer:
4.56
Step-by-step explanation:
654-98-5=4.56
12. Find m please help.
Answer:
m<ADE = 59°
Step-by-step explanation:
Each angle of a rectangle = 90°
Therefore:
m<ABE + m<CBE = 90°
(4x + 15)° + (13x + 7)° = 90°
Solve for x
4x + 15 + 13x + 7 = 90
17x + 22 = 90
17x = 90 - 22
17x = 68
x = 68/17
x = 4
✔️Opposite sides (AB and DC) of the rectangle are parallel, therefore:
m<ADE = m<CBE
m<ADE = (13x + 7)° (Substitution)
Plug in the value of x
m<ADE = 13(4) + 7
m<ADE = 52 + 7
m<ADE = 59°
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
Option 3: cos A=15/17
Step-by-step explanation:
Sine is the opposite side over the hypotenuse,
Cosine is the adjacent side over the hypotenuse, and
Tangent is opposite side over the adjacent side
You can remember this with the acronym SOHCAHTOA (sine, opposite, hypotenuse, cosine, adjacent, hypotenuse, tangent, opposite, adjacent)
Option 3 uses cosine, so the adjacent angle to angle A would be 15 and the hypotenuse would be 17, so 15/17
Which statement is true?
b
оооо
All quadrilaterals have at least 1 pair of parallel sides.
Parallelograms have 2 pairs of congruent angles.
A rhombus is a rectangle. -
A trapezoid is a parallelogram.
Helpp plzzzz
Find the value of x. PLEASE HELP ILL MARK YOU THE BRAINLIEST!! I've been trying to solve this thing for 30 minutes and I still have nothing
Answer:
x = 3
Step-by-step explanation:
When two chords intersect inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.
4 * 2x = 3 * (x + 5)
8x = 3x + 15
5x = 15
x = 3
Use the graph at the right. Describe the change in the winning times from 2006 to 2010
Answer:
image is unclear
Step-by-step explanation:
Please I’m struggling
To find the volume of an rectangular prism multiply length times width times height
Answer:
Length (l) = 6 cm
Breadth (b) = 4 cm
Height (h) = 5 cm
Volume (V) = ?
V = l × b × h
Volume =
[tex]l \times b \times h \\ = 6 \times 4 \times 5 \\ = 6 \times 20 \\ = 120 \: {cm}^{3} [/tex]
=> Volume of the rectangular prism is 120 cm³.
Can someone please help me with this???
Answer:
1 cm
Step-by-step explanation:
To solve this problem we can use the Pythagorean theorem. In fact the diagonal of a rectangle is an hypotenuse of a right triangle, while the length is a leg. The width is the other leg
width = √2^2 - (√3)^2 = √4 - 3 = √1 = 1 cm
Write down the roots of quadratic equation Ax2-bx=0
Answer:
x = 0, x = [tex]\frac{b}{a}[/tex]
Step-by-step explanation:
Given
ax² - bx = 0 ← factor out x from each term
x(ax - b) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
ax - b = 0 ⇒ ax = b ⇒ x = [tex]\frac{b}{a}[/tex]
8.47÷6 in 2 decimal place
Answer:
1.41
Step-by-step explanation:
8.47÷6 = 1.4116
Will give brainliest. The volume of a sphere is 36,000 units What is the radius of the sphere?
Answer:
20.48 is the radius of sphere
Step-by-step explanation:
V=(4 /3)πr3
Using the formula
r=(3V /4π)⅓
Solving for "r"
r=(3V 4π)⅓=(3·36000 /4·π)⅓≈20.48352
GIVING BRAINLIEST AND THE REST OF MY POINTSSS!!!!!PLS HELPP :((
Carter is at the burger joint. To get there he traveled 5 blocks right and 10 blocks up. What coordinates did Carter start from?
Answer:
the bowling alley
Step-by-step explanation:
Answer:
Carter started from the coordinates (9,5)
Step-by-step explanation:
Is it congruent SSS or Congruent ASA
A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.
Complete question :
A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.
a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.
Answer:
0.52 ; 0.52b
Step-by-step explanation:
The markdown percentage = 52%
Expresaing markdown as a decimal :
52% = 52 / 100 = 0.52
Expression for the sale price of hardcover book:
Original price = b
Price was marked down by 0.52
Hence, sales price becomes ;
Original price * markdown
b * 0.52
0.52b
Math.... Can you help
Answer: -42 7/8
Step-by-step explanation: Hope this help:D
Please help with question please please
Answer:
B. 55+70<750
Step-by-step explanation:
To stay healthy, Emily decided to walk for 4 5mile every day. She walked 2 5mile to work and walked 1 4mile at lunchtime. How much more does she need to walk after dinner if she wants to meet her target distance?
Answer:
Target distance is 4/5 miles
walked 2/5 miles and walked 1/4 miles
so distance need to walk is 3/20
-heart or brainly me :3-
Answer:
1.1 more miles after dinner
Step-by-step explanation:
add 2.5 and 1.4 to get 3.9, then subtract 3.9 from 5 to get 1.1
Solve using substitution
y=x-5
5x-9y=17
Answer:
12
Step-by-step explanation:
At Joe's Grocery, you can buy hot dogs only in packages of 4 or packages of 7. As a result, you can't buy exactly 9 hot dogs since it is not possible to combine packages of 4 and 7 to get exactly 9 hot dogs. What's the largest possible number of hot dogs that you can't get exactly by buying these hot dog packages at Joe's?
Answer:
29
Step-by-step explanation:
Hot Dog packages
4 = 2 *2
7 = 1 * 7
To determine, the largest possible number of hot dogs that you can't get exactly by buying these hot dogs is to determine the LCM ( lowest common multiple of 4 and 7 ) and add 1 to it
LCM of 4 and 7 = 1 * 2 * 2 * 7 = 28
Highest number that combining 7 and 4 packages can't give = 28 + 1 = 29
The formula for finding the volume of a cube is V=s3, where s is the length of one side. What is the volume, in cubic units, of a cube with side length 4.2 units? Round to the nearest hundredth when necessary.
Answer:
74.088
Step-by-step explanation:
you multipy 4.2 times 4.2 times 4.2 and get the answer of 74.088
Here is a list of numbers:
79, 38, 99, 10, 8, 4, 85, 74, 13
Calculate the range.
Answer:
Range is 95.
Step-by-step explanation:
Highest value - lowest value = range.
99 - 4 = 95
2+2=
4
7
8
6 help me