The first graph function has a constant additive rate of change of -1/4.
From the figure:
First of all when we talk about a rate of change that means a linear relation between variables, which is proper of a linear function represented by the first function showed in the image.
In the first graph we can observe that the x variable increases and y - variable decrease.
rate of change = slope = -1/4
from first graph take any two points.
(2,1) and (-2,2)
slope = 2 - 1 / -2-2
= 1/-4
= -1/4
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Full question:
Is in the image uploaded.
First the person with a flashlight and one of his friends cross the bridge. After that same person with a flashlight comes back and leads another friend to the other side. Finally he comes back again and leads the last of them.
Number of times that he will have to cross the bridge is 5 ( five ).
542 --> 500
328 --> 300
Estimate: 800
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.
Answer:
8 (see work)
14. 2x^2 -4x^2 +3
Step-by-step explanation:
There's attached work for explanation