The slope of any horizontal line on a graph is zero. That means that 'y' never changes, no matter how much 'x' changes.
Slope = (4 - 2)/(-6 - 2)= 2/-8 = -1/4
y = mx + b
2 = -1/4(2) + b
2 = -1/2 + b
b = 5/2
equation
y = -1/4x + 5/2
4y = -x + 10
x + 4y = 10
answer
<span>A) x+4y=10</span>
Answer:
D. x = -5/2, x = -1/2
Step-by-step explanation:
2x² + 7x + 5 = 0
(2x + 5)(x + 1) = 0
2x + 5 = 0 or x + 1 = 0
2x = -5 or x = -1
x = -5/2 or x = -1/2
Answer:
<h2>2¹²</h2>
Step-by-step explanation:
The sum of the coefficients in the expansion of (x+1)^12:
= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12
the formula says that this sum equal to 2¹².
Other examples
The sum of the coefficients in the expansion of (x+1)^3:
3C0+3C1+3C2+3C3
=8 = 2³
The sum of the coefficients in the expansion of (x+1)^4:
4C0+4C1+4C2+4C3+4C4
=16 = 2⁴
:)
Answer:
y = -1
Step-by-step explanation:
((3 • (5y + 2)) - y) - 2 • (y - 3) = 0
Step 2 :
Equation at the end of step 2 :
(3 • (5y + 2) - y) - 2 • (y - 3) = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
12y + 12 = 12 • (y + 1)
Equation at the end of step 4 :
12 • (y + 1) = 0
Step 5 :
Equations which are never true :
5.1 Solve : 12 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
5.2 Solve : y+1 = 0
Subtract 1 from both sides of the equation :
y = -1
One solution was found :
y = -1
