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elena55 [62]
4 years ago
5

If 2(x - 5) + 3(x - 5) = 10, what is the value of x - 5?

Mathematics
2 answers:
Darya [45]4 years ago
6 0

Answer:

x = 2

Step-by-step explanation:

2x - 10 + 3x - 15 = 10

5x - 25 = 10

5x  = 35

x = 7

7 - 5 = 2

Anestetic [448]4 years ago
4 0

Answer:

x-5  =7-5  =2

Step-by-step explanation:

2(x-5)+3(x-5)=10

2x-10+3x-15=10

-25+5x=10

+25 both sides

5x=35

x=7

7-5=2

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What is 5(y-2)-2=2(y+1)-5? Solve for y and show your work please.
Inessa [10]

Answer:

y = 3

Step-by-step explanation:

Let's start with the left side of the equation.

5(y-2)-2= 2(y+1)-5

5y-10-2= 2(y+1)-5

Now let's solve the right side

5y-10-2= 2y+2-5

5y-12= 2y-3

-2y     -2y

3y-12=-3

   +12 +12

3y = 9

3y/3 = 9/3

y = 3

hope this helps!

4 0
3 years ago
Find the slope of the line going through the points (0, -5) and (-2,1)
kvasek [131]

Answer:

\displaystyle m=-3

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

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (0, -5)

Point (-2, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                          \displaystyle m=\frac{-5-1}{0--2}
  2. [Fraction - Denominator] Simplify:                                                                \displaystyle m=\frac{-5-1}{0+2}
  3. [Fraction - Numerator] Subtract:                                                                     \displaystyle m=\frac{-6}{0+2}
  4. [Fraction - Denominator] Add:                                                                      \displaystyle m=\frac{-6}{2}
  5. [Fraction] Divide:                                                                                             \displaystyle m=-3
8 0
3 years ago
Solve the following equation. X cubed minus 6X squared plus 6X equals zero
anyanavicka [17]

We have to solve this equation:

x^3-6x^2+6x=0

Third degree polynomials like this one are not easily solved, but this one has a root at x = 0. The let us factorize this polynomial as x times a second degree polynomial:

\begin{gathered} x^3-6x^2+6x=0 \\ x(x^2-6x+6)=0 \end{gathered}

Now we can find the roots of the quadratic polynomial as:

\begin{gathered} x=\frac{-(-6)\pm\sqrt[]{(-6)^2-4\cdot1\cdot6}}{2\cdot1} \\ x=\frac{6\pm\sqrt[]{36-24}}{2} \\ x=\frac{6\pm\sqrt[]{12}}{2} \\ x=\frac{6\pm\sqrt[]{4\cdot3}}{2} \\ x=\frac{6\pm2\sqrt[]{3}}{2} \\ x=3\pm\sqrt[]{3} \\ x_1=3-\sqrt[]{3} \\ x_2=3+\sqrt[]{3} \end{gathered}

Then, the solutions to the equation are:

x = 0

x = 3 - √3

x = 3 + √3

4 0
1 year ago
7-3x=x-4(2+x) please help
ss7ja [257]

\huge\boxed{\text{This equation has no solution.}}

Distribute the -4 to the (2-x). 7-3x=x-8-4x

Rearrange the terms. -3x+7=-4x+x-8

Combine the like terms. -3x+7=-3x-8

Add 3x on both sides. 7=-8

This statement is false, so the equation has \boxed{\text{no solution}}.

7 0
3 years ago
Read 2 more answers
What is the equation of a parabola with vertex (0,0) and focus (0,4)?<br> Draw its graph on the grid
svp [43]
Focus of a parabola: 4p(y-k)=(x-h)^2 where vertex (h,k) p is the distance from vertex to focus
4*4(y-0)=(x-0)^2 \\ 16y=x^2 \\ y= \frac{1}{16}x^2

3 0
4 years ago
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