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Step-by-step explanation:

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Option B

The answer is 15

Step-by-step explanation:

AC = √[(x₂ – x₁)² + (y₂ – y₁)²]

Now,

x₁ = 2

x₂ = 14

y₁ = 10

y₂ = 1

AC = √[(x₂ – x₁)² + (y₂ – y₁)²]

AC = √[(14 – 2)² + (1 – 10)²]

AC = √[(12)² + (-9)²]

AC = √(144 + 81)

AC = √225

AC = 15 units

Thus, The distance between A(2, 10) and C(14, 1) is 15 units

-TheUnknownScientist 72

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions