If an equation is an identity, how many solutions does it have?
zero
one
infinite

Answers

Answer 1
Answer: If it's an identity over an infinite field, then it has an infinite number of solutions.


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Using the U- Substitution u=sqrt(2x), integral form 2-8 dx/ sqrt(2x) + 1 is equivalent to ...I'm not quite sure how to solve using u substitution.

Help please!

Answers

We will use u-substitute:u= √(2x) , (du)/(dx)= (1)/( √(2x) )= (1)/(u)Then for substitution:dx=u du. and integral becomes:\int { (u)/(u+1) } \, du = \int { (u+1-1)/(u+1) } \, du= \int{1} \, du- \int { (1)/(u-1) } \, dx=u-ln(u+1)=√(2x)-ln( √(2x)+1). Now we will change the values of limits: √(16)-ln( √(16)+1)-( √(4)-ln( √(4)+1))=4-ln(5)-2+ln(3)=2+ln(0,6)=2-0.51=1.49

Suppose that we have a right triangle $ABC$ with the right angle at $B$ such that $AC = \sqrt{61}$ and $AB = 5.$ A circle is drawn with its center on $AB$ such that the circle is tangent to $AC$ and $BC.$ If $P$ is the point where the circle and side $AC$ meet, then what is $CP$?

Answers

Answer:

  CP = 6

Step-by-step explanation:

The length of segment BC is given by the Pythagorean theorem:

  AC² = AB² +BC²

  (√61)² = 5² + BC² . . . . . fill in the given numbers

  61 -25 = BC² = 36 . . . . .subtract 25

  BC = 6 . . . . . . . . . . . . . . take the square root

Since the center of the circle is on AB and is tangent to BC, it must pass through point B. That is, segment BC of length 6 is one of the tangent lines from point C. The other one, to point P, must be the same length, so ...

  CP = 6

How to multi-step equation

Answers

They must be solved one step at a time.

Write the equation of the line that passes through (5, 6) and (8, 4) in slope-intercept form.

Answers

The equation the line is y = -2x/3 + 28/3

Given that are two points we need to find the equation of a line passing through it,

(5, 6) and (8, 4)

We know that an equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by =

y - y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here (x₁, y₁) and (x₂, y₂) = (5, 6) and (8, 4)

y - 6 = 4-6 / 8-5 (x-5)

y - 6 = -2/3 (x-5)

y = -2/3 (x-5) + 6

y = -2x/3 + 10/3 + 6

y = -2x/3 + 28/3

Hence the equation the line is y = -2x/3 + 28/3

Learn more about slope-intercept form click;

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-4(y - 2) = 12

Answer ASAP plz

Answers

Answer: The answer is -1

Step-by-step explanation:

-4(y - 2) = 12

-4y + 8 = 12

      - 8   - 8

_____________

  -4y  =  4

  ________

  -4        -4

      y = -1

If 15 x 332 = 4,980, then

Answers

Answer:

then what?

Step-by-step explanation: