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tino4ka555 [31]
4 years ago
6

The width of a rectangle is the length minus 2 units.The ares of the rectangle is 48 units.What is the width, in units ,of the r

ectangle
Mathematics
1 answer:
VARVARA [1.3K]4 years ago
8 0

Answer:

x(x - 4) = 12

x2 - 4x = 12

x2 - 4x - 12 = 0

(x - 6)(x + 2) = 0

x - 6 = 0

    x = 6

If the length is 6, the width must be 2.

Step-by-step explanation:

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HELP ME PLEASE... WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS
timofeeve [1]

Answer:

A) The solution is x = 2 and y = 2

B) The graphs would intersect at the point (2, 2).

Step-by-step explanation:

A)

We start with the system of equations:

y = 6*x - 10

y = 2*x - 2

To solve this, the first step is to isolate one of the variables in one of the equations.

Here we can see that the variable "y" is already isolated in both equations, so we can skip that step.

Now we can "replace" the "y" in one of the equations for the correspondent expression in the other.

we can write:

(6*x - 10) = y

and for the second equation, we know that y = 2*x - 2

So replacing that, we get:

6*x - 10 = 2*x - 2

Now we can solve this for x.

6*x - 2*x = - 2 + 10

4*x = 8

x = 8/4 = 2

Now to find the value of y, we can just input this value of x in any one of the two equations:

y = 6*2 - 10 = 12 - 10 = 2

y = 2*2 - 2 = 4  - 2 = 2

So the solution of the system is:

x = 2, y = 2

B) Because the solution of the system is the ordered pair (2, 2), this means that the ordered pair belongs to the graph of both lines, then we can conclude that these lines will intersect at that point (the one that is common to both lines). Actually, when we have a system of equations, graphing both equations and finding the points where the graphs intersect is one method to estimate the solution of the system.

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3 years ago
The length of a rectangle is 3 times its width. If the length were increased by 2 inches and the width by 1 inch, the new perime
ycow [4]
Do  you have options?

7 0
3 years ago
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Anna [14]

Answer:

(x - 2, y + 0)

Step-by-step explanation:

<u>Step 1:  Figure out the translation</u>

<em>The x changes -2 units</em>

<em>The y doesn't change at all</em>

<u>Step 2:  Make a rule</u>

<em>(x - 2, y + 0)</em>

<em />

Answer:  (x - 2, y + 0)

5 0
3 years ago
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What is the equation of the axis of symmetry of the graph of y+3x-6=-3(x-2)2+4
eimsori [14]
A graph shows the vertex to be at (1.5, 4.75).

The equation of the axis of symmetry is x=1.5.


_____
If you want to find it analytically, you can put the equation in standard form.
  y = -3(x -2)² +4 -(3x -6)
  y = -3x^2 +9x -2
This is of the form y = ax² +bx +c with a=-3 and b=9. The axis of symmetry is given by ...
  x = -b/(2a) = -9/(2×(-3)) = 3/2 . . . . . same as above

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4 years ago
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lianna [129]
Let's say a stands for apples and p for pears
We know that
p = 1.30
And

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In order to know what the cost of an "a" is we have to put the value of the p in the second equation, which means

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2a = 12.70 - 9.10
2a = 3.60
And
a = 1.80
The price of per kilo for apples is 1.80
8 0
3 years ago
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