<h3>
Answer: (5/9, -7/6)</h3>
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Explanation:
Since the center of dilation is (0,0), we multiply each coordinate of point B by the scale factor 1/3.
The coordinates of point B are x = 5/3 and y = -7/2
So we have
(1/3)*x = (1/3)*(5/3) = (1*5)/(3*3) = 5/9 as the new x coordinate
and
(1/3)*y = (1/3)*(-7/2) = (1*(-7))/(3*2) = -7/6 as the new y coordinate
The point (5/3, -7/2) moves to (5/9, -7/6)
The hanger diagram ideally should be in balance with all the shapes hung on it.
On the left side, it shows that the circles are 9 grams and the squares are 12 grams. The triangles are 2t grams. Therefore, on the left side we have,
9 + 12 + 2t
On the right side, it shows the circles are 6 grams and the squares are 6 grams, while the triangles are 5t grams. Therefore on the right side we have
6 + 6 + 5t.
For the hanger to be in balance, we should have
The answer is 72 because yeah I’m bad at explain but a line is 180 so 180-108=72
Looks like you meant to write (p/q)³ if so it's power of a quotient
Answer:
t=+4.06
Step-by-step explanation:
when the baseball hits the ground, the height will be 0.
h=0we are given that h=−16t2+64t+4.
this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.
since time cannot be negative, only the positive value can be taken.
this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.
