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riadik2000 [5.3K]
3 years ago
5

Find an explicit formula for the arithmetic sequence -5,13,31,49,...−5,13,31,49,...minus, 5, comma, 13, comma, 31, comma, 49, co

mma, point, point, point.
b(n)=b(n)=b, left parenthesis, n, right parenthesis, equals
Mathematics
1 answer:
dolphi86 [110]3 years ago
4 0

Answer:

aₙ = a₁ + (n-1) * 18        a₁ = -5

Step-by-step explanation:

aₙ = a₁ + (n-1) * d            a₁ = -5     d = 13 - (-5) = 18

a₂ = -5 + (2 - 1) * 18 = -5 + 18 = 13

a₃ = -5 + (3 - 1) * 18 = -5 + 36 = 31

a₄ = -5 + (4 - 1) * 18 = -5 + 54 = 49

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joja [24]
*If you need me to do #5, DM me!

3. 
The area of a triangle can be given by (just plug and chug as always):
A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2
A_r = bh = 12(8) = 96m^2
Now we just add them:
96+12 = 108m^2

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
A_t = \frac{1}{2}bh
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2
Multiply by 4 to get total area:
6.25*4 = 25cm^2

So, the area of the given rhombus is 25cm².
8 0
4 years ago
Which point is an x-intercept of the quadratic function
Naddik [55]

Answer:

A

Step-by-step explanation:

The x-intercepts are the roots of a parabola. Specifically, when a parabola is in the form f(x)=(x-h)(x-k), where h and k are real numbers, the roots are (h, 0) and (k, 0).

Our parabola has a plus, though. That's a problem, right?

No! x+2=x-(-2), so there's no problem. So, our roots are (3, 0) and (-2, 0).

So, the answer is A and we're done!

5 0
3 years ago
Understanding Distance Units
labwork [276]

Answer:

divide

Step-by-step explanation:

divide 26.216 and 128 to get ur anser

5 0
2 years ago
DUE RIGHT NOWWWW!!! PLEASE HELP!!!!
melomori [17]

Answer:

Infinite Solutions

Step-by-step explanation:

\frac{2x + 6}{4}  =  \frac{1}{2} x +  \frac{3}{2}

Get rid of the denominators by multiplying all whole equation by 4.

( \frac{2x + 6}{ 4} )4 = ( \frac{x}{2} )4 +(  \frac{3}{2} )4 \\ 2x + 6 = 2x + 6

The interesting part is here. Both sides are same, meaning that if we continue to solve for the equation.

2x + 6 = 2x + 6 \\ 2x  - 2x = 6 - 6 \\ 0 = 0

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Therefore the answer is Infinite solution.

4 0
3 years ago
Find the GCF of 48 and 42​
ivann1987 [24]

Answer:

The gcf of 42 and 48 can be obtained like this:

The factors of 42 are 42, 21, 14, 7, 6, 3, 2, 1.

The factors of 48 are 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.

The common factors of 42 and 48 are 6, 3, 2, 1, intersecting the two sets above.

In the intersection factors of 42 ∩ factors of 48 the greatest element is 6.

Therefore, the greatest common factor of 42 and 48 is 6.

Taking the above into account you also know how to find all the common factors of 42 and 48, not just the greatest.

Hope I helped

3 0
3 years ago
Read 2 more answers
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