Answer:
The values of x are:
Step-by-step explanation:
Given the expression
Expand (x - 2)² = x² -4x + 4
Expand: -6(x - 2) = -6x + 12
simplifying
Factor x² -10x + 21: (x - 3) (x - 7)
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
solving x - 3 = 0
x - 3 = 0
Adding 3 to both sides
simplify
x = 3
solving x - 7 = 0
x - 7 = 0
Adding 7 to both sides
Simplify
x = 7
Therefore, the values of x are:
Answer:
The answer to your question is 13.2 ft
Step-by-step explanation:
Data
length of the ladder = hypotenuse = 16 ft
adjacent side = 9 ft
opposite side = ?
Process
1.- To solve this problem use the Pythagorean theorem
c² = a² + b²
Solve for b²
b² = c² - a²
2.- Substitution
b² = 16² - 9²
3.- Simplification
b² = 256 - 81
b² = 175
b = 13.2 ft
4.- Conclusion
The ladder is 13.2 ft resting against the building.
Answer:
A. Innate
B. Estivation
C. Territory
Step-by-step explanation:
Convert the fraction to a decimal:
1/25 = 0.04
Multiply by 100 to get the percent:
0.04 x 100 = 4%
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
1) Find m(the slope of the equation):
Since the slope-intercept form is already given, then you can obtain the slope from it by using y = mx + b
m=5
2) Substitute the given point into the point-slope form y - y1 = m(x - x1)
y-(-13) = 5(x - (-2))
y + 13 = 5(x + 2)