34) -3(5 + 2x) - 7 distribute
2 answers:
You might be interested in
After having done this on paper:
We want to isolate the variable, and the first step is to subtract the 8.
Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.
<em>n</em> = 24
Let me know if this helped you understand better.
Also, you can check this by substituting in 24 for <em>n</em>.
We want to isolate the variable, and the first step is to subtract the 8.
Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.
<em>n</em> = 24
Let me know if this helped you understand better.
Also, you can check this by substituting in 24 for <em>n</em>.
Let be the dimensions of the rectangle. We know the equations for both area and perimeter:
So, we have the following system:
From the second equation, we can deduce
Plug this in the first equation to get
Refactor as
And solve with the usual quadratic formula to get
Both solutions are feasible, because they're both positive.
If we chose the positive solution, we have
If we choose the negative solution, we have
So, we're just swapping the role of and
. The two dimensions of the rectangle are
and
Answer:
a = -1, b = -2.5
Step-by-step explanation:
Rule for the dilation of a vector by a scale factor of k is,
(x, y) → (kx, ky)
BY using this rule for a vector by a scale factor of 2.5
→
Followed by the rotation by 90° Or radians,
Rule for rotation of a vector by 90° is,
(x, y) → (-y, x)
By this rule vector will become,
→
If we represent this vector by ,
Then a = -1 and b = -2.5 will be the answer.