9u means you're multiplying 9 into that vector, both components. Same with the 2v. 9*3 = 27 and 9*-1 = -9, so your new vector u is <27, -9>. Now let's do v. 2* -6 (twice) = -12, so your new v vector is <-12, -12>. Add those together now, first components of each and second components of each. 27 + (-12) = 15; -9+(-12)=-21. So the addition of those gives us a final vector with a displacement of <15, -21>
Answer:
they are all true they are just expressed different
Step-by-step explanation:
Answer:
The palm tree is 12 m tall.
Step-by-step explanation:
1. The first to see is to consider this as triangle formed by the palm tree, the shadow, and the line from the top of the tree to the tip of the shadow to the tip the palm.
2. Assign variables to each distance in the triangle
Palm length= X
Shadow length= y
line from the top of the tree to the tip of the shadow to the tip the palm = Z
3. Describe the equation, reading the text:
(1) y=x-7
(2) z=x+1
(3) 
(this last one is from pitagoras theorem)
4. We solve the system:
{y = x - 7, z = x + 1, z^2 = x^2 + y^2}
Solutions
x = 4, y = -3, z = 5
x = 12, y = 5, z = 13
Since the distance can't be negative. The answer is the palm tree is 12 meters tall.
https://www.wolframalpha.com/input/?i=y%3Dx-7%3B+z%3Dx%2B1%3Bz%5E2%3Dx%5E2%2By%5E2
Answer:
(a) ΔARS ≅ ΔAQT
Step-by-step explanation:
The theorem being used to show congruence is ASA. In one of the triangles, the angles are 1 and R, and the side between them is AR. The triangle containing those angles and that side is ΔARS.
In the other triangle, the angles are 3 and Q, and the side between them is AQ. The triangles containing those angles and that side is ΔAQT.
The desired congruence statement in Step 3 is ...
ΔARS ≅ ΔAQT
Answer:
B. Time(length)
Step-by-step explanation:
The function that would be represented as a good name for a function for the length of the race and the return the time required to finished it
here the independent variable or the INPUT is the length while the output would be the time that required to finish it
Hence, the correct option is B,
Therefore all the other options would be incorrect
