Answer:
Step-by-step explanation:
-3x + 9y = -24
3x + 3y = 24
12y = 0
y = 0
-3x + 9(0) = -24
-3x = -24
x = 8
(8,0)
Answer:
270.06
How to solve:
Write a function:
f(t)=270(1+0.001)^{t/10}
23 years→23/10→2.3 decades
Plug in t=2.3
f(2.3)=270(1+0.001)^{2.3/10}
=270.062076106
≈270.06
Answer:Set \displaystyle f\left(x\right)=0f(x)=0.
Step-by-step explanation:
Set \displaystyle f\left(x\right)=0f(x)=0.
If the polynomial function is not given in factored form:
Factor out any common monomial factors.
Factor any factorable binomials or trinomials.
Set each factor equal to zero and solve to find the \displaystyle x\text{-}x- intercepts.
Answer:
15
Step-by-step explanation:
adding 15 black beads gives you 16 black beads and 4 white beads
16/4 =4/1 or 4:1
Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.
