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KatRina [158]
2 years ago
10

Select steps that could be used to solve the equation 1 + 3x = -x + 4.

Mathematics
1 answer:
Nesterboy [21]2 years ago
6 0

Answer:

Answer 1)

Step-by-step explanation:

Starting with 1 + 3x = -x + 4, add x to both sides.  Result:  1 + 4x = 4

Next, subtract 1 from both sides, obtaining 4x = 3.

Finally, divide both sides by 4:  x = 3/4

This matches Answer 1).

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Find the distance between the points (-3, 11) and (5, 5).
marshall27 [118]
Formula for distance between two points:

d  = √((x₂-x₁)² + (y₂-y₁)²)

Let point 1 be (-3, 11) and point 2 be (5, 5)

Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.

d = √((x₂-x₁)² + (y₂-y₁)²)

   = √((5- -3)² + (5-11)²)

   = √((5+3)² + (5-11)²)

   = √((8)² + (-6)²)          8² = 8*8 = 64, (-6)² = -6*-6 = 36

   = √(64 + 36)

  = √(100)

  = 10

Distance = 10 units.
5 0
3 years ago
which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
aleksklad [387]
Circumcenter for the Apex students :)
6 0
2 years ago
A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number
nekit [7.7K]
You would find the probability of getting an answer less than 10 by counting all of the possible outcomes, or numbers that are less than 10 and compare them to the total number of possible outcomes, or the total number of numbers. You would write the ratio of predicted outcomes to total possibilities.

The answer would be 4/9.
3 0
3 years ago
For the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Bx%7D%20%7D%7B5%7D%20%2B2" id="TexFormula1" title="\f
Ber [7]

Answer:

f^{-1}(x)=25(x-2)^2

Step-by-step explanation:

The inverse function can be found by solving ...

  f(y) = x

  (√y)/5 +2 = x

  (√y)/5 = x -2 . . . . . subtract 2

  √y = 5(x -2) . . . . . . multiply by 5

  y = 25(x -2)² . . . . . square both sides

The inverse function is ...

  f^{-1}(x)=25(x-2)^2

_____

<em>About the graph</em>

The inverse of a function is its mirror image across the line y = x.

4 0
3 years ago
What is the converse of the conditional statement?
Svetach [21]

Answer:

  If x + 1 is odd, then x is even.

Step-by-step explanation:

The converse of the statement ...

  if P, then Q.

is ...

  if Q, then P.

Here, we have P="x is even" and Q="x+1 is odd". The converse statement is ...

  if x+1 is odd, then x is even.

7 0
3 years ago
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