Answer:
Katie
Step-by-step explanation:
Use seconds as the standard unit to compare the speeds of the 4 runners
Tony is already in standard form and runs 12 ft/s
Katie:
450/30
15 ft/s
Frank:
1 mile = 5280 feet
5280/577
9.15 ft/s
Adam:
I minute = 60 seconds
880/60
14.67 ft/s
Answer:
F = 110°
I'm not sure, but since no one answered, here it goes...
Step-by-step explanation:
∵ FD = FE (Given in Diagram)
∴ ΔDFE is isosceles , ∴m∠E = m∠D
1 ) 3x + 14 = 5x
14 = 5x - 3x
14 = 2x
14 / 2 = x
7 = x
m∠E = 3*7 + 14 = 35°
m∠D = 5*7 = 35°
m∠F = 180 - (35+35)
m∠F = 110°
Answer: M'(2, - 5), L'(-2, -5), j'(-4, - 1)
Step-by-step explanation:
When we do a reflection over a given line, the distance between all the points (measured perpendicularly to the line) does not change.
The line is y = 1.
Notice that a reflection over a line y = a (for any real value a) only changes the value of the variable y.
Let's reflect the points:
J(-4, 3)
The distance between 3 and 1 is:
D = 3 - 1 = 2.
Then the new value of y must also be at a distance 2 of the line y = 1
1 - 2 = 1
The new point is:
j'(-4, - 1)
L(-2, 7)
The distance between 7 and 1 is:
7 - 1 = 6.
The new value of y will be:
1 - 6 = -5
The new point is:
L'(-2, -5)
M(2,7)
Same as above, the new point will be:
M'(2, - 5)
Answer:
c=256
Step-by-step explanation:
m²+32m+c=m²+32m+(32/2)²-(32/2)²+c
=m²+32m+16²-16²+c
=(m+16)²-256+c
for it to be a complete square -256+c=0
or c=256
It is a point hope it helps you