One of the solutions to x² - 2x - 15 = 0 is x = -3. What is the other solution?
1 answer:
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Answer:
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
we know that
In the right triangle XYZ
---> adjacent side divided by the hypotenuse
substitute the values
Remember that
so
substitute
step 2
--> opposite side divided by the hypotenuse
substitute the values
Remember that
so
step 3
--> opposite side divided by adjacent side
substitute the values
Simplify
so
StartFraction StartRoot 3 EndRoot Over 3 EndFraction
Answer:
The equation of the line is y = (-1/2)x + 5
Step-by-step explanation:
First of all, have to find gradient using the formula above :
(2,4) & (14,-2)
m = (-2-4) / (14-2)
= -6 / 12
= -1/2
Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :
y = mx + b
Let y=4 & x=2
4 = (-1/2)(2) + b
b = 4 + 1
= 5
Lastly, put the value of gradient and y-intercept into the equation :
y = mx + b
Let m=-1/2 & b=5
y = (-1/2)x + 5