Answer:
n = -1
Step-by-step explanation:
Guess your question is to find n
Given:
-6 + 3n = -9
-6 + 3n = -9
Add 6 to both sides
-6 + 6 + 3n = -9 + 6
3n = -3
Divide both sides by 3
n = -3 / 3
= -1
n = -1
Check:
-6 + 3n = -9
-6 + 3(-1) = -9
-6 - 3 = -9
- 9 = - 9
Step-by-step explanation:
You want the to find the value of k such that the y coordinate of the vertex is 0.
0=x2−6x+k
The x coordinate, h, of the vertex is found, using the following equation:
h=−b2a
h=−−62(1)=3
Evaluate at x = 3:
0=32−6(3)+k
k=9
Speed=distance/time=80/5=16ft/s
Answer:
Area = 601.8760801 ft^2
Step-by-step explanation:
Area of Rectangle: Area = Length* Height
Area of a Semi-Circle = π*r^2 /2
Area of Rectangle: Area = 14 * 21 = 294 ft^2
Area of a Semi-Circle = π * 14^2 / 2 = π * 196/2 = π * 98 ft^2
Add the Two Area: 294 ft^2 + 98π ft^2 = 601.8760801 ft^2
To find the equation of the line that passes through 2 points, we have to find the slope and the y-intercept
The form of the equation is y = mx + b
m is the slope
b is the y-intercept
The rule of the slope is
Since the line passes through points (0, 7) and (3, 10), then
x1 = 0 and x2 = 3
y1 = 7 and y2 = 10
Substitute m in the rule of the equation
Since b is the y-intercept (value y at x = 0)
Since the line passes through the point (0, 7), then
b = 7
The equation of the line is
The answer is C
