Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
For number 5. X=12.5 and for number 6. X=4
Hope this helps :)
Y= -3/4x - 5
slope intercept form is y=mx + b
the mx is your slope, in this equation -3/4
the b is the y intercept, where the line first crosses the y axis. in this equation -5.
hope this helps :)
Answer:
g=28
Step-by-step explanation:
g + (-7) = 21
g-7 = 21
g= 21+7
g=28
Answer:
You can calucate b by using pythagorean theorem:
a² + b² = c²
21² + b² = 29²
b² = 841 - 441 = 400
b = √400 = 20 (m)
