9514 1404 393
Answer:
see below
Step-by-step explanation:
The augmented matrix is the 3×4 matrix of the coefficients in the standard-form equations.
![\left[\begin{array}{ccc|c}5&-4&-6&-3\\1&-3&1&-1\\-3&-6&7&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D5%26-4%26-6%26-3%5C%5C1%26-3%261%26-1%5C%5C-3%26-6%267%261%5Cend%7Barray%7D%5Cright%5D)
Answer: Option B is the correct answer
Step-by-step explanation:
The given expression is
(–7t – 5v)(–4t – 3v).
The product will be a quadratic equation (having 2 as the highest power)
To find the product, we would expand the brackets
(-7t × -4t )+ (-7t × -3v) + (-5v × -4t) + (-5v × - 3v)
= (- -28t^2) +(- -21tv) + (- - 20tv) +(- -15v^2)
Recall, negative × negative equals positive.
=28t^2 +21tv +20tv+ 15v^2)
Collecting like terms, we add all terms containing the same letters together
28t^2 + 41tv + 15v^2
Option B is the correct answer
Answer:
4.47
Step-by-step explanation:
3x²+31=91
3x²=91-31
3x²=60
x²=60÷3
x²=20
x=√20
x=4.47
Answer: 24, 24, 47
<u>Step-by-step explanation:</u>
In order to form a triangle, the sum of two sides must be GREATER than the third side for all combinations.
a + b > c & a + c > b & b + c > a
23 + 28 = 51 which is NOT greater than 55
15 + 30 = 45 which is NOT greater than 45
8 + 17 = 25 which is NOT greater than 25
24 + 24 > 47 & 24 + 47 > 24 & 24 + 24 > 27
all combinations are true so these side lengths can form a triangle
Convert the cm to feet for the base and the height:
12/2 = 6 x 3 = 18 feet
9/2 = 4.5 x 3 = 13.5 feet
area = 1/2 x base x height
Area = 1/2 x 18 x 13.5
Area = 121.5 square feet
answer: 121.5 square feet
