Answer:
40:70 becomes 20:35 which becomes 4: 7.
The answer is 4:7
Step-by-step explanation:
Answer:
this should be right if not comment and I'll relook it.
FOIL Method.
You will get the same answer x^2+ 7x- 18
The perimeter of one of those six squares formed is 24 inches.
The rectangle measures 12 inches by 18 inches.
The rectangle is cut into six identical square by making three cut.
Therefore, let's find the area of the rectangle:
<h3>Area of a rectangle:</h3>
- a = 12 × 18 = 216 inches²
<h3>Area of a square:</h3>
The square formed are 6 in numbers. Therefore,
6l² = 216
l² = 216 / 6
l = √36
l = 6 inches
The length of each square formed is 6 inches.
Therefore, the perimeter of each square formed is as follows;
learn more on rectangle here: brainly.com/question/1392694?referrer=searchResults
We sketch two triangles, DFE and DGH, as shown below
Side DF correspond to side DG, the scale factor is 40÷32=1.25
Side DE correspond to side DH, the scale factor is 30÷24=1.25
That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25
Both triangles share the same angle D
We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS
<h2>
Answer:</h2>
The values of x for which the given vectors are basis for R³ is:

<h2>
Step-by-step explanation:</h2>
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
![\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%262%261%5C%5C0%261%261%5C%5C-1%262%26x%5Cend%7Barray%7D%5Cright%5D)
Now, the determinant of this matrix is:

Hence,
