Answer:
The answer to your question is y = -1/4x + 15/4
Step-by-step explanation:
Data
P (-1, 4)
⊥ y = 4x + 1
Process
1.- Find the slope of the line given
y = 4x + 1
slope = 4
2.- Find the slope of the new line
slope 2 = -1/4
3.- Find the equation of the line
y - y1 = m(x - x1)
Substitution
y - 4 = -1/4(x + 1)
Simplification
y - 4 = -1/4x - 1/4
y = -1/4x - 1/4 + 4
y = -1/4x - 1/4 + 16/4
Result
y = -1/4x + 15/4
Answer:
-7
Step-by-step explanation:
Square numbers always have two possible roots: a positive and negative root. This is because two positive numbers multiply to make a positive number and two negative numbers also multiply to make a positive number
-7 × -7 is still 49, just like 7 × 7
Hope this helps!
Answer:
25
Step-by-step explanation:
We need to set up a system of equations, then solve for the number of board markers.
Let r represent red pens, let b represent board markers.
She has 41 items, so our first equation is r+b=41.
The total cost is $46.30, so our second equation is .55r+1.5b=46.3.
r+b=41
.55r+1.5b=46.3
Let's use substitution.
r+b=41
r=41-b
.55r+1.5b=46.3
.55(41-b)+1.5b=46.3
22.55-.55b+1.5b=46.3
22.55+.95b=46.3
.95b=23.75
b=25
He bought 25 board markers.
