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:
-1/6
Step-by-step explanation:
-1/2 + ( 3/4 x 4/9)
PEMDAS says parentheses first
Rearranging the fractions
-1/2 + ( 3/9 x 4/4)
-1/2 + (1/3*1)
-1/2 + 1/3
Getting a common denominator of 6
-1/2 *3/3 + 1/3 *2/2
-3/6+2/6
-1/6
Answer:
you would figure out the time in either pst or est and find out the time
Step-by-step explanation:
Example=EST
1:10 PM
PST:8:29 PM=11:29PM
SO time spent= 3 hours
<h3><u>The x intercept is at (-7, 0).</u></h3><h3><u>The y intercept is at (0, 1).</u></h3>
To find both the x and the y intercept, we need to solve one at a time.
For the x intercept, we need to make the value of y equal to 0, and solve for x.
-x + 7y = 7
-x + 7(0) = 7
-x = 7
Multiply both sides by -1.
x = -7
The x intercept is -7.
Now for the y intercept.
-(0) + 7y = 7
7y = 7
Divide both sides by 1.
y = 1
The y intercept is at 0, 1.
