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ipn [44]
3 years ago
14

A triangle has sides of lengths 10, 24, and 26. is it a right triangle? explain

Mathematics
1 answer:
Stels [109]3 years ago
3 0
Yes it's a right triangle. Using the Pythagoran
10^2 + 24^2 = 26^2

Thus it's a right triangle
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The following function represents the profit P(n), in dollars, that a concert promoter makes by selling tickets for n dollars ea
Gre4nikov [31]
A) zeroes

P(n) = -250 n^2 + 2500n - 5250

Extract common factor:

P(n)= -250 (n^2 - 10n + 21)

Factor (find two numbers that sum -10 and its product is 21)

P(n) = -250(n - 3)(n - 7)

Zeroes ==> n - 3 = 0  or n -7 = 0
Then n = 3 and n = 7 are the zeros.

They rerpesent that if the promoter sells tickets at 3  or 7 dollars the profit is zero.

B) Maximum profit

Completion of squares

n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4

P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000

Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000

Maximum profit =1000 at n = 5

C) Axis of symmetry

Vertex = (h,k) when the equation is in the form A(n-h)^2 + k

Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000

Vertex = (5, 1000) and the symmetry axis is n = 5.



8 0
3 years ago
⎧
d1i1m1o1n [39]

<u>Given</u>:

The given expression to find the nth term of the sequence is d(n)=d(n-1) \cdot (-5)

The first term of the sequence is d(1)=8

We need to determine the third term of the sequence.

<u>Second term:</u>

The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.

Thus, we have;

d(2)=d(2-1) \cdot (-5)

d(2)=d(1) \cdot (-5)

d(2)=8 \cdot (-5)

d(2)=-40

Thus, the second term of the sequence is -40.

<u>Third term:</u>

The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.

Thus, we have;

d(3)=d(3-1) \cdot (-5)

d(3)=-40 \cdot (-5)

d(3)=120

Thus, the third term of the sequence is 120.

7 0
3 years ago
Read 2 more answers
Alyssa has 50 quarters and dimes. She has a total of $9.80. How many dimes does she have? Explain your steps.
Debora [2.8K]

Answer:

t $9.50 of it is quarters and 30 cents of it is dimes so 3 dimes

Step-by-step explanation:

8 0
2 years ago
Determine the slope and y-intercept of the line: y=-4x
lapo4ka [179]
Equation y=-4x
m=-4. Slope is -4 y-intercept is 0

y-12=2(x-1)
y-12=2x-2
y=2x-2+12
y=2x+10
7 0
3 years ago
Express in terms i root of -40
tensa zangetsu [6.8K]

Answer:

6.32455532i

Step-by-step explanation:

Use the square root calculator too find it

5 0
2 years ago
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