Answer:
k = - 2
Step-by-step explanation:
Lines g(x) and f(x) passes through the points (2, 0), (0, 2) & (4, 0), (0, 4)
Since both the lines are parallel, so slopes of lines g(x) and f(x) would be same.
Therefore,
Slope of line g = Slope of line f = (2-0)/(0 - 2) = 2/-2 = - 1
Equation of line g(x)
For point (0, 2)
y- intercept (b) = 2
y = mx + b
g(x) = - 1x + 2 [y = g(x)]
g(x) = - x + 2
Equation of line f(x)
For point (0, 4)
y- intercept (b) = 4
y = mx + b
f(x) = - 1x + 4 [y = g(x)]
f(x) = - x + 4
It is given that:
g(x) = f(x) + k
g(x) - f(x) = k
(-x + 2) - (-x + 4) = k
-x + 2 + x - 4 = k
2 - 4 = k
-2 = k
k = - 2
Answer:
I'm pretty sure just 1
Step-by-step explanation:
Answer:
Not enough information
Step-by-step explanation:
Unless this is a square, you don't have enough information to answer this question. It would be 14 * 14 if it was a square which would be 196.
Solution:
<u>We know the following rules:</u>
- Rule: If an exponent is negative, it will be in the fraction 1/nˣ.
- Rule: If an exponent is positive, it will be in whole number form and will multiply itself m times.
- Rule: if a number's exponent is 0, then the number is 1.
Now, let's solve each problem.
<u>Question-7</u>
- 4³ = 4 x 4 x 4 = 64
- 4² = 4 x 4 = 16
- 4¹ = 4
- 4⁰ = 1
<u>Question-8</u>
- (-2)³ = (-2) x (-2) x -(2) = -8
- (-2)² = (-2) x (-2) = 4
- (-2)¹ = -2
- (-2)⁰ = 1
Hoped this helped!
