Answer with Step-by-step explanation:
We are given that a point (3,1,0)
Two vectors are
A=<1,1,0>
B=<0,1,1>
Let v
Substitute the values then we get
The parametric equation of the line
Using the formula
The parametric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by
The symmetric equation of the line is given by
Using the formula
The symmetric equation of the line which is passing through the point (3,1,0) and perpendicular to both i+j and j+k is given by
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 9, - 4) and (x₂, y₂ ) = (- 3, - 6)
m = 
= 
= -
Answer:
3 dogs and 5 cats were adopted out on Christmas eve.
Step-by-step explanation:
Let the number of dogs adopted out on Christmas eve be x and the number of cats be y.
From the question,
On Christmas Eve, the animal adopted out 8 total animals
That is, x + y = 8 ...... (1)
and brought in $400 in total adoption fees.
Also from the question,
Each dog adoption fee was $75 and each cat adoption fee was $35.
∴ On Christmas Eve,
75x + 35y = 400 ...... (2)
Now, to determine how many dogs and how many cats were adopted out on Christmas Eve, we will solve the two equations simultaneously.
From equation (1)
x + y = 8
Make x the subject of the relation.
∴ x = 8 - y ...... (3)
Substitute the value of x into equation (2)
75(8 - y) + 35y = 400
600 - 75y + 35y = 400
600 -40y = 400
600 - 400 = 40y
200 = 40y
∴ 40y = 200
y = 200/40
y = 5
Substitute the value of y into equation (3)
x = 8 - y
x = 8 - 5
x = 3
∴ x = 3 and y = 5
Hence, 3 dogs and 5 cats were adopted out on Christmas eve.
Answer:
OOOOOO <---- the coins in her pocket
Step-by-step explanation:
