x = - 1
given
= x + 3
square both sides
1 - 3x = (x + 3 )² ( expand right side using FOIL )
1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )
0 = x² + 9x + 8
0 = ( x + 1)(x + 8)
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = -1
x + 8 = 0 ⇒ x = - 8
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = - 1 :
= 2 and - 1 + 3 = 2 ← true
x = - 8 :
= 5 and - 8 + 3 = -5 ← false
thus the only solution is x = - 1
It's a bit of a bummer to have to work through all of these to find the answer. That a lot of slope calculations (or graphing, or whatever). When there are this many, a spreadsheet or other machine help can make it easier.
The correct choice is the last one, XYZ, with vertex X being where the right angle is located.
_____
Slope of XY is 4/7; slope of XZ is -7/4. The product of these is -1, so those segments are at right angles.
Answer:
(-∞, -2)
Step-by-step explanation
You are writing it in inequality form instead of interval notation. The sign is also flipped so it should be y<-2 and then convert to interval notation which will give you the answer above.
Answer:
A, an = 2n. B. an = 2(n-
Step-by-step explanation:
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