Answer:
t=0
Step-by-step explanation:
r=<+1,>
by differentiating the r vector component by component
r' = <2at, 1>
Two vector are orthogonal when the dot product between them is zero, so:
r'·r=0
<+1,>·<2at, 1>=2+2at+t=0
common factor
t(+2a+1)=0
Then, the only real value for t is zero.
-> t=0
Answer:
66k+9
Step-by-step explanation:
Simplify: 50k+5+4+16k
Combine like-terms: 66k+9
Hope this helps
We have 1 square with side length 8 inches, and 4 triangles with a base length of 8 inches and a height of 15.
Surface area = (8 × 8) + 4(0.5 × 8 × 15)
The first part of this equation is the area of the square
The second part is the area of a triangle, multiplied by 4 (because there are 4 triangles)
= 64 + 4(60)
= 64 + 240
= 304 in²
The total surface area is 304 square inches.
Let me know if you need any clarifications, thanks!
Answer: C (21)
Step-by-step explanation:
I am translating into algebra.
Set Scott's age five years ago to: x
Set Paul's age five years ago to: 2x-4
Scott's age now is his age five years ago, plus five, which is: x+5
Paul's age now is his age five years ago, plus five, which is: 2x-4+5 or 2x+1
Since Paul is now six years older than Scott, set Scott's age (x+5) equal to Paul's age, plus six, which is: 2x+1=x+5+6
Solve the equation to get: x=10
Substitute x for 10 in Paul's current age: 2*10+1=21.
Therefore, C is the correct answer.
Answer: C!!!
Step-by-step explanation:
1. Divide 1,875 by 125 and you get 15.
2. Do the same with 5,625 and you get 375.
3. Multiply 420 by 15 and you get 6,300.
Can you pls mark brainliest!!!! :)))