Answer:
Is it 0.25 tho or am i wrong??
Step-by-step explanation:
Answer:
Step-by-step explanation:
given that U, V are two vectors in R^n
These two vectors can be written as a linear combination of 3 vectors
w1, w2, and w3
To prove that U+V also can be written as a linear combination of these three vectors.
Since U is a linear combination we can write for not all a,b, c equal to 0
Similarly for d,e,f not all equal to 0
Adding these we have
Here all a+d, b+e or c+f cannot be simultaneously 0.
So we get U+V can be written as a linear combination of w1, w2 w3 as follows:
Proved
The base of the triangle ABC is 12 units.
Step-by-step explanation:
Step 1; First we need to identify which side is the base of the triangle. In this given triangle side CB is the base. So we plot points C and B on the graph. Coordinates for C are (-4, -3) and for B are (8, -3). We need to find the distance between the 2 edges of the triangle.
Step 2; To find the distance of CB, we use the formula;
Distance = √ (x2 - x1)² + (y2 - y1)².
Distance between C (-4, -3) and B (8, -3) where C is (x1, y1) and B is (x2, y2).
Distance = √(8 - (-4))² + (-3 -(-3))² = √12² + 0² = √12² = 12 units.
Similarly, triangle ABC's height equals 10 units.
Answer:
Step-by-step explanation:
12ab - 10b² - 18a² + 9ab + 12b² + 14a²
= 12ab + 9ab - 10b² + 12b² -18a² + 14a² {Combine like terms}
= (12 + 9)ab + (-10 + 12)b² + (-18 + 14)a²
= 21ab + 2b² - 4a²
ab + 2b² + 3b² - a² = ab + (2+3)b² - a²
= ab + 5b² - a²
Now find the difference
ab + 5b² - a² - [ 21ab + 2b² - 4a²]
= ab + 5b² -a² - 21ab - 2b² + 4a²
= ab - 21ab + 5b² - 2b² - a² + 4a²
= -20ab + 3b² + 3a²
2) 2x³ – 3x² y +2xy²+3y³ - unknown polynomial = x³ -2x² y+3xy²+4y³
2x³ – 3x² y +2xy²+3y³ = x³ -2x² y+3xy²+4y³ + unknown polynomial
2x³ – 3x² y +2xy²+3y³ - [ x³ -2x² y+3xy²+4y³] = unknown polynomial
2x³ – 3x² y +2xy²+3y³ - x³ + 2x² y- 3xy²- 4y³ =
2x³ - x³ -3x²y +2x²y + 2xy² - 3xy² + 3y³ - 4y³=
x³ - x²y - xy² - y³
Answer: x³ - x²y - xy² - y³
Answer:
radius
Step-by-step explanation:
hope this helps
