ABCD is a parallelogram
M is the midpoint of CB
N is the midpoint of AB
DA = a
DC = c
a) find, in terms of a and c, the vector of MN
b) show that CA is parralel to MN
Answers
Answer:
Part a)
MN = 0.5a-0.5c
Part b)
MN=0.5a-0.5c
CA=a-c
CA is parallel to MN because 2×MN = CA.
Step-by-step explanation:
Part a = We know that ABCD is a parallelogram (stated), thus opposite sides must be equal. So given that DA = a, CB = a, DC = c, AB = C.
MN = MB+BN, so as M is the midpoint of CB then MB = 1/2 a and as we are going against AB (we are doing BN) then it will be -0.5c as N is the midpoint of AB.
Part B= More of a mathswatch error, where you have to quite literally put the precise answer. CA = CD+DA so -c (as we are going the opposite way to DC) + a.
CA = -c+a
Now CA is a multiple of MN. But Mathswatch prefers if you say that CA is parallel to MN because MN times 2 is equal to CA
In this exercise we have to use the knowledge of parallelogram and vectors to give the values of each one of them, like this:
A) MN = 0.5a-0.5c
B)CA is parallel to MN because 2×MN = CA.
First, we have to remember the definition of parallelogram:
A polygon is any flat closed shape made of straight line segments. A parallelogram is a polygon with 4 sides in which sides that don't touch each other are parallel.A) We know that ABCD is a parallelogram, thus opposite sides must be equal. So given that:
[tex]DA = a,\\CB = a, \\DC = c, \\AB = C.[/tex]
[tex]MN = MB+BN\\MB = 1/2\\BN=-0.5c\\MN = 0.5a-0.5c[/tex]
B)Where you have to quite literally put the precise answer, so we have that:
[tex]CA = CD+DA \\CD=-c\\DA=a\\CA = -c+a\\[/tex]
See more about parallelogram at brainly.com/question/555467
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hope this helped!
Answer:
it is option A hope it helps
A number
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Answers
Answer:
let the unit digit be x
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Answer:
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Step-by-step explanation:
Set up a proportion
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[tex]4x=9.2[/tex]
[tex]x=2.3[/tex]
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Answer:
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Step-by-step explanation:
Decreased means subtraction and the product of any two numbers is multiplication.
Division Keyword: Divided by, or Quotient of.
Multiplication Keyword: Product of, or Multiplied by.
Subtraction Keyword: Subtracted from, or Decreased by.
Addition Keyword: Added to, or Increased by.
If there is no Variable then place the common Variables: X, Y, Z.
Answer:
The expression is 5x-9.
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Responder:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
The first choice is the right answer.
Step-by-step explanation:
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y = 3(1) + 7 = 10
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second choice
y = 3(7) + 7 = 28. output on table shows 0
third choice
y = 3(0) + 7 = 7
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fourth choice.
y = 3(7) + 7 = 28 output on table shows 0
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plz mark me brainliest. ;)
QUESTION 7
Which of these pairs of points has a slope undefined ?
Check all applied.
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(8,9) and (8,1)
Answers
Answer:
This would be a, b, and d.
Step-by-step explanation:
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Answers
Responder:
x = 4.48
y = 4.86
z = -1.04
Explicación paso a paso:
Dadas las ecuaciones simultáneas;
6X + 8Y - 4Z = 5 .... 1
1X + 2Y + 5Z = 9 ... 2
9X - 3Y + 3Z = 6 .... 3
Primero necesitamos reducir el sistema de ecuaciones
Ecuación 1 * 1
Ecuación 2 * 4
__________
6X + 8Y - 4Z = 5
4X + 8Y + 20Z = 36
Restar
6x-4x - 4z-20z = 5-36
2x-24z = 31 ... 4
también
ecuación 2 * 3
ecuación 3 * 2
_______________
1X + 2Y + 5Z = 9 * 3
9X - 3Y + 3Z = 6 * 2
_______________
3x + 6y + 15z = 27
18x - 6 años + 6z = 12
Agregar
3x + 18x + 15z + 6z = 27 + 12
21x + 21z = 39 ...... 5
Resolviendo 4 y 5
2x-24z = 31 ... 4 * 21
21x + 21z = 39 ...... 5 * 2
____________
42x - 504z = 651
42x + 42z = 78
Sustraer
-504x - 42z = 651-78
-546z = 573
z = -573/546
z = -1.05
Sustituye z = -1.05 en 4
De 4;
2x-21z = 31
2x - 21 (-1,05) = 31
2x + 22,04 = 31
2x = 31-22.04
2x = 8,96
x = 8,96 / 2
x = 4,48
Obtener y
De 2:
X + 2Y + 5Z = 9
4.48 + 2y + 5 (-1.04) = 9
2 años + 4,48-5,2 = 9
2y = 9 + 0,72
2 años = 9,72
y = 9,72 / 2
y = 4,86
Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)
what muiltupication will give you 1600
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Answer:
5 x 320
Step-by-step explanation:
5 x 320 = 1600
djdjjdndjdjjxjd
Answer:
800 x 2
I saw that this was your first question. Welcome to the Brainly Community
In ΔQRS, RS = 16, SQ = 9, and QR = 15. Which list has the angles of ΔQRS in order from smallest to largest?
Answers
Answer:
[tex] \angle R < \angle S < \angle Q[/tex]
Step-by-step explanation:
In ΔQRS, RS = 16, SQ = 9, and QR = 15.
From above info it is obvious that:
SQ < QR < RS
In a triangle, angle opposite to smallest side is smallest and angle opposite to largest side is largest.
Therefore,
[tex] \angle R < \angle S < \angle Q[/tex]
I will give brainiest for the correct answer
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Y-4=-3(x-5)
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suppose you deposit $1000 in a savings account that pays 4.8% interest compounded monthly. Write an exponential function to model the amount of money in your savings account. How much will you have in your account after 2 years?
Answers
Answer:
The exponential function is [tex]A(t) = 1000(1.004)^{12t}[/tex].
You will have $1,100.55 in the account after 2 years.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Deposit $1000 in a savings account that pays 4.8% interest compounded monthly.
This means that [tex]P = 1000, r = 0.048, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 1000(1 + \frac{0.048}{12})^{12t}[/tex]
[tex]A(t) = 1000(1 + 0.004)^{12t}[/tex]
[tex]A(t) = 1000(1.004)^{12t}[/tex]
This is the exponential function
How much will you have in your account after 2 years?
This is A(2). So
[tex]A(2) = 1000(1.004)^{24} = 1100.55[/tex]
You will have $1,100.55 in the account after 2 years.