3. The equation 4x + 16y = 36 is a true equation for a particular
1 answer:
Answer:
See below.
Step-by-step explanation:
We know that the equation is a true equation for a particular value of x.
Now, let's see what happens if we divide everything by 4. In other words:
Divide:
So, we get .
When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the <em>same thing to both sides of the equation. </em>
Therefore, is also true for the same value of x because it is just a simplified version of
.
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Width = 7cm
Length = 13cm
<u>Explanation:</u>
Area of rectangle =
Let width of the rectangle = b ,
So, length = b+6
Area of rectangle = (length X width) - eqn 1
Putting the value of length and width in above equation 1,
On solving the quadratic equation we get,
b = 7cm
So, width (b) = 7cm
and length = 7+6
l = 13cm
Hence,
Width = 7cm
Length = 13cm
Answer:
<u>Step-by-step explanation:</u>
(1, 2) and (4, -3)
First, find the slope (m):
m =
=
Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)
y - 2 = (x - 1)
y - 2 = +
y = +
Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):
y ___ +
8 ___ +
8 ___
8 >
so ≤ makes the statement False
⇒ y ≤ +
****************************************************************
If you need a "system" of inequalities, then you need another equation.
There are infinite possibilities. Graph the points to see what works.
y < 8 or x > -2 are two examples.
---> I just realized that the system can be simpler than what I did above: