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crimeas [40]
3 years ago
14

Find an equation in slope-intercept form of the line that has slope 4 and passes through point A(3,-4)

Mathematics
2 answers:
dsp733 years ago
7 0
Answer will be
c
y=16x-4
STatiana [176]3 years ago
3 0
M = 4
(x₁, y₁) = (3,-4)

The equation
y - y₁ = m(x - x₁)
y - (-4) = 4(x - 3)
y + 4 = 4x - 12
y = 4x - 12 - 4
y = 4x - 16

the answer is a
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Use the number line to answer the question. Each tick represents 1 unit.
Yanka [14]

Answer and Step-by-step explanation:

Essentially, you are describing the position of point K using the location of the other points on the graph.

<u>Let's start listing some descriptions:</u>

K is:

<em>3 more than H</em>

<em>2 more than J</em>

<em>3 less than L</em>

<em>4 less than M</em>

<em>7 less than N</em>

<em>12 less than P</em>

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<u>Now look at the answer choices and compare it to what we wrote.</u>

We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.

<u>[C. 7 less than N] is the correct answer.</u>

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3 0
2 years ago
In an arithmetic sequence, a17 = -40 and
Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

a+27d = -73 ...(2)

Solving both equations simultaneously using elimination method.

Subtracting 1 from 2 we have:

27d - 16d = -73-(-40)

11d = -73+40

11d = -33

d = -3

Substituting d = -3 into 1

a+16(-3) = -40

a - 48 = -40

a = -40+48

a = 8

Given a = 8, d = -3, the nth term of the sequence will be

Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

Tn-1 = Tn - d... (3)

Tn-1 = 11-3n +3

Tn-1 = 14-3n

Tn-2 = Tn-2d...(4)

Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

Tn-2 = 17-3n

From 3, d = Tn - Tn-1

From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

Tn - Tn-2 = 2Tn-2Tn-1

2Tn-Tn = 2Tn-1 - Tn-2

Tn = 2Tn-1 - Tn-2

The recursive formula will be

Tn = 2Tn-1 - Tn-2

5 0
3 years ago
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a study was to be undertaken to determine if a particular training program would improve physical fitness. an srs of 31 universi
Nataliya [291]

Step-by-step explanation:

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andreev551 [17]

Answer:

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