Answer:
<h2>
y = -¹/₄x - 1</h2>
Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 4x - 2 ⇒ m₁=4
4×m₂ = -1 ⇒ m₂ = -¹/₄
The line y=-¹/₄x+b passes through point (4, -2) so the equation:
-2 = -¹/₄×4 + b must be true
-2 = -1 + b
b = -1
Therefore equation in slope-intercept form:
y = -¹/₄x - 1
Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)
Answer: (644 - 200) / 12 = x
Step-by-step explanation:
To find the number of albums Floyd sold, first, subtract $200 dollars (the base rate) from his total profit of $644. This gives you a result of $444. Then, divide $444 by $12 (the amount made per album sold) to get a result of 37 albums sold. The equation for this is (644 - 200) / 12 = x.
Answer:
<h2>cherry pie = 5</h2><h2>lemon pie =10</h2>
Step-by-step explanation:
Step one:
let cherry be x
and lemon be y
the systems of the equation for the solution is given as
4x+y=30-----------1
8x+6y=100------2
Step two:
solve the equation simultaneously by substitution we have
4x+y=30
y=30-4x
put y=30-4x in equation 2
8x+6(30-4x)=100
8x+180-24x=100
8x-24x=100-180
-16x=-80
x=80/16
x=5
put x=4 in y=30-4x
y=30-4(5).
y=30-20
y=10
