Answer:
Problem 23) 
Problem 24) 
Step-by-step explanation:
step 1
Find the slope of the given line
The formula to calculate the slope between two points is equal to
we have
Substitute the values
step 2
Problem 23
we know that
If two lines are perpendicular then the product of its slopes is equal to minus 1
so
Find the slope of the line
we have
substitute in the equation and solve for m2
with the slope m2 and the point 
find the equation of the line
Remember that
The equation of the line in slope intercept form is equal to
we have
-----> the given point is the y-intercept
substitute
step 3
Problem 24
we know that
If two lines are parallel, then its slopes are the same
so
with the slope m1 and the point 
find the equation of the line
The equation of the line in slope intercept form is equal to
we have
-----> the given point is the y-intercept
substitute
It is A because you are adding 3 to in if you were to subtract then it will go down not up.
Answer:
m<D = 105
Step-by-step explanation:
So, Triangle STU and DEF are similar triangles, because their corresponding side lengths have the same ratio.
For example FD can be multiplied by 2.5 to get SU, and EF can be multiplied by 2.5 to get TU, and ED can me multiplied by 2.5 to get 15.
Anyways, since the two triangles are similar, they have the same angle measures, meaning that angle D can be found by subtracting 46 and 25 from 180 degrees to find the missing angle, which is 105 degrees. I hope that helps.
Answer:
Step-by-step explanation:
Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as 
b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)
note that i.i = j.j = k.k =1
b.a = 5(4)+11(0)-2(7)
b.a = 20-14
b.a = 6
||a|| = √5²+11²+(-2)²
||a|| = √25+121+4
||a|| = √130
square both sides
||a||² = (√130)
||a||² = 130
<em>Hence the projection of b unto a is expressed as </em><em></em>
Answer:
38.66
Step-by-step explanation:
