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Alja [10]
3 years ago
9

3 1/7 + 4 3/14 = ?plz help me ​

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
103/14
Decimal Form:
7.35714285
…
7.35714285
…
Mixed Number Form:
7 5/14
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Find the general term of the sequence<br>c.1 { 10, 5, 0, -5, -10 }<br>c.2 { 1, 4, 9, 16, 25 }​
Ivan

Answer:

1. 15 - 5n where n>=1

2. n² where n>=1

Step-by-step explanation:

1. {10, 5, 0, -5, -10} is an Arithmetic Progression

nth term is a + (n - 1)d

where a = first term, n= nth term, d= common difference.

a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))

Therefore, nth(General) term of the sequence:

= 10 + (n - 1)-5

= 10 + (-5n) + 5

= 10 + 5 - 5n

= 15 - 5n

Test:

if n = 1; 15 - 5(1) = 10

if n = 2; 15 - 5(2) = 5

if n = 3; 15 - 5(3) = 0 and so on.

2. {1, 4, 9, 16, 25}

The general term of the sequence is n²

Test:

if n = 1; 1² = 1

if n = 2; 2² = 4

if n = 3; 3² = 9 and so on.

5 0
3 years ago
Three vertices of the trapezoid are A(4d,4e), B(4f,4e), and C(4g,0). The fourth vertex lies on the origin. Find the midpoint of
satela [25.4K]
We have that

point C and point D have y = 0-----------> (the bottom of the trapezoid).

point A and point B have y = 4e ---------- > (the top of the trapezoid)

the y component of  midpoint would be halfway between these lines
 y = (4e+ 0)/2 = 2e. 

<span>the x component of the midpoint of the midsegment would be halfway between the midpoint of AB and the midpoint of CD.

x component of midpoint of AB is (4d + 4f)/2.
x component of midpoint of CD is (4g + 0)/2 = 4g/2.
x component of a point between the two we just found is
[(4d + 4f)/2 + 4g/2]/2 = [(4d + 4f + 4g)/2]/2 = (4d + 4f + 4g)/4 = d + f + g. 

</span>therefore

the midpoint of the midsegment is (d + f + g, 2e)
8 0
3 years ago
An equation that has the form
ioda

Answer:

y equals x

Step-by-step explanation:

7 0
3 years ago
Question 7<br>(05.02 LC)<br>What is the measure of angle x? (1 point)​
attashe74 [19]

Answer:

43

Step-by-step explanation:

i took the unit 2 test review

nvm good luck...

~Sydney~

4 0
3 years ago
Determine the equation of the line shown in the graph: y = −1 y = 0 x = −1 x = 0
BaLLatris [955]

Answer:

Option C.

Step-by-step explanation:

If a vertical line intersects the x-axis at point (c,0), then the equation of line is x=c.

From the given figure it is clear that it is a vertical line and it intersects the x-axis at (-1,0).  There are infinite values of y at x=-1.

So, the equation of given line is

x=-1

Therefore, the correct option is C.

7 0
3 years ago
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