Answer:
-864
Step-by-step explanation:
The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...
The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...
Answer:
<em>y = (x - 4) - 4 </em>
Step-by-step explanation:
m = 
(- 2, - 10)
(4 , - 4)
m = 
= 1
y + 4 = (x - 4) ⇒ <em>y = (x - 4) - 4</em>
Answer:
72 sq. mi
Step-by-step explanation:
Breaking this down, we have 2 right triangles with sides of 3, 4, and 5 miles, and 3 rectangles with dimensions 3 x 5, 4 x 5, and 5 x 5 miles. Remember that the area of a triangle is 1/2 x b x h , where b and h are the triangle's base and height. The base and height of the triangles at the bases of the figure are 3 and 4, so each triangle has an area of 1/2 x 3 x 4 = 1/2 x 12 = 6 sq. mi, or 6 + 6 = 12 sq. mi together.
Onto the rectangles, we can find their area by multiplying their length by their width. Since the width of these rectangles is the same for all three - 5 mi - we can make our lives a little easier and just "glue" the lengths together, giving us a longer rectangle with a length of 3 + 4 + 5 = 12 mi. Multiplying the two, we find the area of the rectangles to be 5 x 12 = 60 sq. mi.
Adding this area to the triangle's area gives us a total area of 12 + 60 = 72 sq. mi.
Answer:
a=9
Step-by-step explanation:
a^3 = 729
Taking the cube root of each side
a^3 ^(1/3) = 729^ (1/3)
a = 9
Answer:
a=m-x^2/k^2
Step-by-step explanation:
(k^2(m-a)) /x=x
K^2(m-a)=x^2
m-a=x^2/k^2
a=m-x^2/k^2
