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german
3 years ago
14

Write down the second term in the sequence given by: T(n) = n2 - 5

Mathematics
1 answer:
enot [183]3 years ago
8 0
There are two terms n2 and -5. n2 is the first term and -5 is the second term
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Ten helicopters are assigned to search for a lost airplane; each of the helicopters can be used in one out of two possible regio
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flew there at the game

Step-by-step explanationit can change

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3 years ago
SNOG PLEASE HELP ME! (a+5)(b-3)
Bingel [31]

Answer:

ab-3a+5b-15

Step-by-step explanation:

Once again, FOIL is the way to go!

First, Outside, Inside, Last

ab-3a+5b-15

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3 years ago
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Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(
alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

<em><u>Answer:</u></em>

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

<em><u>Solution:</u></em>

Given function is:

f(x) = (x+4)^2 - 5

The equation in vertex form is given as:

y = a(x-h)^2+k

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

Minimum\ value = f(\frac{-b}{a})

f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11

f(x) = ax^2+bx+c

On comparing,

a = 1

b = 8

x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4

f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5

Thus, use the (-4, -5) to find the minimum value

Domain and range

f(x) = (x+4)^2 - 5

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

4 0
3 years ago
LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?
Mazyrski [523]

Answer:

LN = 55

Step-by-step explanation:

Given

LN = 12w + 7

LP = 15w - 5

Required

Determine LN

Since LM is a bisector, then we have:

LP = LN (See attachment for illustration)

15w - 5 = 12w + 7

Collect Like Terms

15w - 12w = 5 +7

3w = 12

Solve for w

w = 12/3

w = 4

LN is calculated as thus:

LN = 12w + 7

Substitute 4 for w

LN = 12 * 4 + 7

LN = 48 + 7

LN = 55

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3 years ago
ΔABC has vertices A(2,4), B(6,0), AND C(-4,0).
arlik [135]
<span>ΔABC is not a right triangle.</span>
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3 years ago
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