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navik [9.2K]
3 years ago
8

Given m = 2 and the point (-1, 7), which of the following is the point-slope form of the equation?

Mathematics
1 answer:
ANEK [815]3 years ago
3 0

The point-slope form:

y-y_1=m(x-x_1)

We have the point (-1, 7) and the slope m = 2. Substitute:

y-7=2(x-(-1))\\\\\boxed{y-7=2(x+1)}\to\boxed{b.}

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Miles per hour

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A fair coin is tossed two times in succession. The set of equally likely outcomes in {HH,HT,TH, TT}. Find the probability of get
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Please help, I've attached the picture and the answer choices.
pogonyaev
Slope = (-2 + 4)/(-2-2) = 2/-4 = -1/2

y = mx + b
so
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b = -2 -(-1/2)(-2)
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y = -1/2x - 3

answer is B.
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6 0
3 years ago
What is a simplified eCarlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?Xpression
stira [4]

Questions:

(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that 3y + 5y^3 is the same as 8y^4. Which statement shows that it is NOT the same?

Answer:

(x + y) - (x - y) =2y

3y + 5y^3 \ne 8y^4

Step-by-step explanation:

Solving (a):

Given

(x + y) - (x - y)

Required

Simplify

(x + y) - (x - y)

Open brackets

(x + y) - (x - y) = x + y - x + y

Collect Like Terms

(x + y) - (x - y) = x - x+ y  + y

(x + y) - (x - y) = y  + y

(x + y) - (x - y) =2y

Solving (b):

Given

3y + 5y^3 and 8y^4

Required

Which expression shows they are not the same

The expression that shows this is:

3y + 5y^3 \ne 8y^4

Take for instance; y=2

Substitute 2 for y in 3y + 5y^3 \ne 8y^4

3*2 + 5*2^3 \ne 8*2^4

Evaluate all exponents

9 + 5*8 \ne 8*16

9 + 40 \ne 128

49 \ne 128

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5 0
3 years ago
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Katena32 [7]

Answer:

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x = 180 - 158

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