Essentially looking for the maximum of the function h(x).
Assuming calculus is out of scope, you may use a simple formula -b/(2a) to find the x coordinate of the max point.
x = -b / (2a) = 10 / -2 = -5.
Plug in x=-5 into h(x) to find the height:
h(-5) = 30;
ΔABD and ΔACD are similar (By A-A-A) and The length of DA is 6.
The triangles where all the corresponding sides of the two triangles are in equal proportion are called similar triangles.
In triangle ΔABC ∠BAC=90°
Let ∠ABC=x
then ∠ACB=90°-x
In triangle ΔADC, ∠ADC =90°
∠ACB=∠ACD=90°-x
∠DAC= 180°-(∠ADC+∠ACD)= 180°-(90°+90°-x)= x
In triangle ΔADB , ∠ADB =90°
∠ABD=x
∠BAD=90°-x
Between triangles ΔABD and ΔACD
∠ABD=∠DAC (=X)
∠BAD∠ACD (=90°-x)
∠ADB=∠ADC (=90°)
from the above, it is clear that triangles ΔABD nad ΔACD is similar. (By A-A-A)
So sides are in equal proportion in 2 triangles,
AD/DC= BD/AD
⇒AD²= BD*DC
⇒AD²=9*4
⇒AD²=36
⇒AD=6
⇒DA=6
Therefore triangles ΔABD and ΔACD are similar (By A-A-A) and The length of DA is 6.
Learn more about similar triangle
here: brainly.com/question/14285697
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For the first number you can choose from 8, for the second number only 7, for the third number only 6. So the number of combinations is 8x7x6=336
Answer:
y=-4x-24
Step-by-step explanation:
The equation of a line is always in the form y=mx+c. By subbing in the values given by the two points, we get:
0=-6m+c
-24=c
∴0=-6m-24
6m=-24
m=-4
∴the equation is: y=-4x-24
Answer:
1973
Step-by-step explanation:
you take the start yea and add it to the amount of years it was printed and you have your answer
