Answer:
Width: 7 Length: 10
Step-by-step explanation:
Width: x
length: 2x-4
Area: 70 meters squared
(2x-4)x=70
2x^2-4x=70
2x^2-4x-70=0
2(x^2-2x-35)=0
(x-7)(x+5)=0
x cannot be negative so x=7
Answer:
- f[1] = 3
- f[n] = 2·f[n-1] +4
- 108
Step-by-step explanation:
We observe that first differences of the given numbers are ...
10 -3 = 7
24 -10 = 14
52 -24 = 28
That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.
We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.
Then our recursive relation is ...
f[1] = 3 . . . . the first term
f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4
The next term is 2·52 +4 = 108.
Answer:
25.13
Step-by-step explanation:
C = d(
)
d = r(2) in this case 4(2) = 8 = d
so 8(
) = C
C ≈ 25.13
So matrix which show equation 4x+2y=4 is
.
Given that we have an equation that is 4x+2y=4
So equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =).
So in order to write this equation in matrix form we have to write it into augmented matrix
So augmented matrix is a matrix whose elements are the coefficients of a set of simultaneous linear equations with the constant terms of the equations entered in an added column.
Therefore the matrix will be:
.
Learn more about augmented matrix on brainly.com/question/16796667
#SPJ9
Answer:
x = 3
Step-by-step explanation:
5x - 3 + 2x = 5x + 3
<em>subtract 5x from both sides</em>
5x - 5x - 3 + 2x = 5x - 5x + 3
-3 + 2x = 3
<em>add 3 to both sides</em>
-3 + 3 + 2x = 3 + 3
2x = 6
<em>divide both sides by 2</em>
2x/2 = 6/2
x = 6/2
x = 3