Answer:
Holden's seed is 40 miles per hour
Step-by-step explanation:
The given parameters are;
The distance Holden drove = 110 miles
The time duration in which Holden drove = 2 and 3/4 hours = 11/4 hours = 2.75 hours
Therefore, Holden's speed, s, can be found from the relationship;
Speed, s = Distance/time = 110 miles/(11/4 hours) = 40 miles per hour
Holden's seed = 40 miles per hour.
Answer:
12+3x=27
Step-by-step explanation:
Follow the words and write it as you read it, if it's (times) you multiply and if it's (larger), it's addition.
It's hard to explain by words so sorry if you don't understand. For the graphing part, starting from (-3, 0), plot points in (1, 2), (6, 3), and connect them. The end of a line should be (10, 3.5). You will understand better if you use graphing calculator.
The answer of a second question is {x|x is greater or equal to -3.
Answer:18
Step-by-step explanation:
The cross product of the normal vectors of two planes result in a vector parallel to the line of intersection of the two planes.
Corresponding normal vectors of the planes are
<5,-1,-6> and <1,1,1>
We calculate the cross product as a determinant of (i,j,k) and the normal products
i j k
5 -1 -6
1 1 1
=(-1*1-(-6)*1)i -(5*1-(-6)1)j+(5*1-(-1*1))k
=5i-11j+6k
=<5,-11,6>
Check orthogonality with normal vectors using scalar products
(should equal zero if orthogonal)
<5,-11,6>.<5,-1,-6>=25+11-36=0
<5,-11,6>.<1,1,1>=5-11+6=0
Therefore <5,-11,6> is a vector parallel to the line of intersection of the two given planes.
