Answer:
B 6 centimeters
Step-by-step explanation:
y = x + 2
2x + 3y = 36
substitute y = x+2 into the second equation
2x + 3 (x+2) = 36
distribute
2x + 3x+ 3*2 = 36
combine like terms
5x+6 = 36
subtract 6 from each side
5x +6-6 = 36 -6
5x = 30
divide by 5
5x/5 = 30/5
x = 6
the short side is x =6
the longer side is
y= x+2
y = 6+2
y =8
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x
Answer:
linear equation
Step-by-step explanation:
43x + 4 = y is known as <u>a linear equation since its graph is a straight line</u>.
