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3 years ago

Solve for the missing x coordinate above

Mathematics

1 answer:

Cloud [144]3 years ago

7 0

The unknown vertex is on the perpendicular bisector of the opposite side. So the x coordinate is the same as that of the midpoint, x=(18+52)/2=35.

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Hellllppppppppppppppp meeeeeeeeeeeee

Alexxandr [17]

Answer:

D. 20

Step-by-step explanation:

20% of 20 is 4

6 0

2 years ago

Read 2 more answers

Tell wether x and y show a proportional relationship. x 1 2 3 4 y 4 8 12 16

Delicious77 [7]

Answer:

They do because y is always 4 times of x.

Step-by-step explanation:

7 0

3 years ago

the function h(t)=-16t2+144 represents the height, h(t), in feet, of an object from the ground at t second after its dropped. A

blagie [28]

The domain is the limits of the function. Since time doesnt go negative, start with 0. At time 0, the height is

-16(0)^2 + 144 = 144ft

Then, solve for t to find the upper limit for t, which is when the height is zero (since you're dropping the object).

-16t^2 + 144 = 0
-16t^2 = -144
t^2 = 9
t = sqrt(9)
t = 3

The domain is 0 to 3 seconds.

5 0

3 years ago

Simplify (9x^3-4x+10)+(x^3+10x-9)

Alex

Simplify

9x^3 - 4x + 10 + x^3 + 10x - 9

Collect like terms

(9x^3 + x^3) + (-4x + 10x) + (10 - 9)

Simplify

10x^2 + 6x + 1

6 0

3 years ago

Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

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Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as: