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Yakvenalex [24]
3 years ago
7

Find the value of the expression 8x↑3 if: x=3

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

216

Step-by-step explanation:

8x³

Put x as 3 in the expression.

8(3)³

Solve the power.

8(27)

Multiply.

= 216

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Ostrovityanka [42]

Answer:

Step-by-step explanation:

1. y - 2 = -3(x - 4)

  y - 2 = -3x + 12

  y = -3x + 14

2. y - 6 = -1/2(x + 5)

   y - 6 = -1/2x - 5/2

   y - 12/2= -1/2x - 5/2

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It is known that the point P(-9,18) belongs to the graph of the function y=k/x. Find k.
riadik2000 [5.3K]

Answer:

k = (-162).

Step-by-step explanation:

A point of the form (x_{0},\, y_{0}) belongs to the graph of this function, y = k / x, if and only if the equation of this function holds after substituting in x = x_{0} and y = y_{0}.

The question states that the point (-9,\, 18) belongs to the graph of this function. Thus, the equation of this function, y = k / x, should hold after substituting in x = (-9) and y = 18:

y = k / x.

18 = k / (-9).

Solve this equation for the constant k:

\begin{aligned}k &= 18 \times (-9) \\ &= (-162)\end{aligned}.

Thus, k = (-162).

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2 years ago
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3 years ago
What is the distance between (4, 7)(4,7)left parenthesis, 4, comma, 7, right parenthesis and (2, 2)(2,2)left parenthesis, 2, com
tester [92]

Answer: square root of 29

Step-by-step explanation:

Given the question :

Distance between (4, 7) and (2, 2)

Distance between two points is given by:

Distance = sqrt[(X2 - X1)² + (Y2 - Y1)²]

X1 = 4 ; Y1 = 7 ; X2 = 2 ; Y2 = 2

Distance = sqrt[(2 - 4)² + (2 - 7)²]

Distance = sqrt[(-2² + - 5²)]

= sqrt(4 + 25)

= sqrt(29)

7 0
3 years ago
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