Answer:
2
Step-by-step explanation:
The constant -h is half the x-coefficient -4, so is -2. That makes h = 2.
The square of the binomial (x-h) is ...
... (x -h)² = x² -2hx +h²
Comparing x-terms, you see that ...
... -2xh ≡ -4x
... h = (-4x)/(-2x) = 2
Answer:
y = 3x + 2
Step-by-step explanation:
Let's identify two clear points on this line. I can see (0, 2) and (-1, -1)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-1 - 2) / (-1 - 0)
Simplify the parentheses.
= (-3) / (-1)
Simplify the fraction.
-3/-1
= 3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the first point (0, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 3(0) + b
To find b, multiply the slope and the input of x(0)
2 = 0 + b
Now, we are left with 0 + b.
2 = b
Plug this into your standard equation.
y = 3x + 2
This is your equation.
Hope this helps!
The value of x in the simplified power is 20.
Solution:
Given expression:
Step 1: Express 4 factors of
Step 2: Expand the expression
Step 3: Simplify to the exponential form
There four -2 terms and four terms.
Step 4: Evaluate the base 2 power.
Step 5: Apply the power of a power.
Using exponent rule:
So that
⇒ x = 20
The value of x in the simplified power is 20.
Answer:
Line S and Line Q
Step-by-step explanation: Line S and Q would form a pair of perpendicular lines because perpendicular lines form a 90 degree angle.