Step-by-step explanation:
All the 5 rows of the coefficient matrix (since it is of order 5×8) will have a pivot position. The augmented matrix obtained by adding a last column of constant terms to the 8 columns of the coefficient matrix will have nine columns and will not have a row of the form [0 0 0 0 0 0 0 0 1]. So the system is consistent.
Answer:
A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°.
The sum of the length of two sides of a triangle is always greater than the length of the third side.
Hello,
We have : (a + b)² = a² + 2ab + b²
4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B
Here, we have a = 2x and b = 5 !
4x^2 + 8x + 12
Equivalent forms: x^2 + 2x + 3 and 8x^2 + 16x + 24.
The first equivalent form was created by dividing each term by 2, and the second equivalent form was created by multiplying each term by 2.
Answer:
12 sandwiches
Step-by-step explanation:
Make a proportion
He can make 6 sandwiches with 3 tomatoes, and x sandwiches with 6 tomatoes
6/3=x/6
Multiply both sides by 6 to isolate the variable, x
6*6/3=x/6*6
12=x
So, with 6 tomatoes, he can make 12 sandwiches
