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I am Lyosha [343]
3 years ago
7

Solve for y 8y - 8 = 4x

Mathematics
2 answers:
natita [175]3 years ago
5 0

Answer:

Step-by-step explanation:

8y - 8 = 4x

Add 8 to both sides

 8y = 4x + 8

Divide both sides by 8

y = \frac{4x + 8}{8}

Elodia [21]3 years ago
3 0

Answer:y= 1/2x +1

Step-by-step explanation: This is your answer

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The equation of a circle is x^2+y^2-2x +6y-6=0. Find the center and radius of the circle by completing the square.you must inclu
zavuch27 [327]

Answer:

The center of the circle is at;

(1,-3)

The radius of the circle is;

r=4

Explanation:

Given the equation of circle;

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

we want to re-write it in the form;

(x-h)^2+(y-k)^2=r^2

where;

\begin{gathered} (h,k)\text{ is the center of the circle} \\ r\text{ is the radius} \end{gathered}

Applying Completing the square method;

\begin{gathered} x^2+y^2-2x+6y-6=0 \\ x^2-2x+1+y^2+6y+9=6+1+9 \\ (x-1)^2+(y+3)^2=16 \\ (x-1)^2+(y+3)^2=4^2 \end{gathered}

comparing the derived equation to the general form we have;

\begin{gathered} h=1 \\ k=-3 \\ r=4 \end{gathered}

Therefore;

The center of the circle is at;

(1,-3)

The radius of the circle is;

r=4

6 0
1 year ago
The product of 8 and the sum of 4 and a number is 112. What is the number?
Zigmanuir [339]

Answer:

<h2>8(4 + n) = 112</h2>

Step-by-step explanation:

Let's start by reading the problem since it maybe is a bit confusing at first.

The product of 8

Now we know that it starts with 8 multiplied by another number. We do not know that number yet, so let's put 8 * () and fill in the parentheses later.

So far, our equation is:

8()

.. And the sum of 4 and a number

So, 4 + n

We can enter that into our equation

8(4+n)

The next line says "..Is 112"

So, the solution to our equation is 112

Our equation becomes:

8(4+n)=112

4 0
2 years ago
In quadrilateral ABCD, AE=x+6 and BE=3x-18 For what value of x is ABCD a rectangle?
Tanya [424]
  x + 6 = 3x - 18
- x          - x
       6 = 2x - 18
  + 18        + 18
     24 = 2x
      2      2
     12 = x

The answer is C.
3 0
3 years ago
Graph the linear equality y&gt;x+3
Aleksandr-060686 [28]

Answer:

See the screenshot

Step-by-step explanation:

Determine two points by substituting values for x and solving for y. Then plot the points and draw a dashed straight line through the points to indicate that they are not part of the inequality. Shade in the area above the line.

7 0
2 years ago
Tom is 4 more that’s twice Andrews age. Sara is 8 less than 5 times andrews age. If Tom and sara are twins , how old is Andrew
dangina [55]
Andrew is 4 years old

Andrew (4) x 2 = 8 + 4 = 12 (Tom)
Andrew (4) x 5 = 20 - 8 = 12 (Sara)
5 0
3 years ago
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