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nasty-shy [4]
3 years ago
7

What is the value of a when (a-12)x=a+8

Mathematics
1 answer:
eduard3 years ago
4 0

Answer:

a=13.59,-0.59

Step-by-step explanation:

Assuming the question is:

(a-12)a=a+8

We multiply and rearrange the trinomial:

(a-12)a=a+8\\a^2-12a=a+8\\a^2-13a-8=0

This is a quadratic equation with:

a = 1

b = -13

c = -8

We use quadratic formula to find 2 values of a:

a^2-13a-8=0\\a=\frac{-b+-\sqrt{b^2 - 4ac} }{2a}\\a=\frac{13+-\sqrt{169 - 4(-8)} }{2}\\a=\frac{13+-\sqrt{201} }{2}\\a=13.59,-0.59

These are the 2 values of a:

a=13.59,-0.59

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goldfiish [28.3K]

Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

Then the first runner that finishes the race is the one with the shorter graph (shorter graph means that he ran for less time than the others, wich means that he/she finished first)

The last runner is the one that finished at point D,

The middle one finishes right after the point C.

6 0
4 years ago
1. In the formula V = lwh, the variable h needs
ANTONII [103]

Answer:

H=\frac{V}{LW}

see the explanation

Step-by-step explanation:

we know that

Using inverse operations, the  formula can be rearranged to solve for any one of the variables that might be  unknown.

we have

V=LWH

The operation of multiplication is used in the formula

so

The inverse operation of division should be used to isolate the variable H

so

Divide both sides by LW

\frac{V}{LW}=\frac{LWH}{LW}

simplify

H=\frac{V}{LW}

6 0
4 years ago
What is the solution to the equation? 305 p = 1,525 p =
lora16 [44]

Answer:

p = 5

Step-by-step explanation:

305p = 1525 \\  \frac{305p}{305}  =  \frac{1525}{305}  \\ p = 5

8 0
4 years ago
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JulsSmile [24]

Answer:

The answer is L

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the third side in simplest radical form:
larisa [96]

Answer:

x = √53

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 6

Leg <em>b</em> = <em>x</em>

Hypotenuse <em>c</em> = √89

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Set up equation:                    6² + x² = (√89)²
  2. Isolate <em>x</em> term:                        x² = (√89)² - 6²
  3. Exponents:                             x² = 89 - 36
  4. Subtract:                                 x² = 53
  5. Isolate <em>x</em>:                                 x = √53
5 0
3 years ago
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