Answer:
C
Step-by-step explanation:
1. Conan needs 4 hours to rehearse and host a good show. Andy needs 10 hours to do the same. So, Cohan needs 6 hours less than Andy to rehearse and host a good show. This means Cohan has an absolute advantage in the production of show hosting.
2. Conan writes one usable joke in an hour, Andy needs 2 hours to do the same. So, Cohan has an absolute advantage in the production of joke writing.
Thus, Cohan has an absolute advantage in the production of both show hosting and joke writing.
Correct option is option C.
The equation "y=mx+b" is the slope-intercept forme of a line with slope "m" and y-interceptept (0,b)
In this case:
y=2x+5;
the slope "m" will be equato to : "2".
Answer: the slope is 2.
Answer:
Distance between automobile and the truck is 100 feet.
Step-by-step explanation:
Speed of the automobile towards the intersection = 30 ft per sec
Speed of the truck that crosses the intersection = 40 ft per sec.
Automobile is 120 feet apart when the truck passes through the intersection.
After 2 seconds distance traveled by the automobile = Speed × time
= 30 × 2
= 60 feet
So the distance of the automobile from the intersection = 120 - 60
= 60 feet
Distance traveled by truck in 2 seconds = 40 × 2
= 80 feet
Now distance between them can be calculated by Pythagoras theorem
Distance = 
= 
= 
= 100 feet
Therefore, after 2 seconds distance between the truck and the automobile will be 100 feet.
We know that
<span>Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove circle 1 and circle 2 are similar, a translation and a scale factor (from a dilation) will be found to map one circle onto another.
</span>we have that
<span>Circle 1 is centered at (4,3) and has a radius of 5 centimeters
</span><span> Circle 2 is centered at (6,-2) and has a radius of 15 centimeters
</span>
step 1
<span>Move the center of the circle 1 onto the center of the circle 2
</span>the transformation has the following rule
(x,y)--------> (x+2,y-5)
so
(4,3)------> (4+2,3-5)-----> (6,-2)
so
center circle 1 is now equal to center circle 2
<span>The circles are now concentric (they have the same center)
</span>
step 2
A dilation is needed to increase the size of circle 1<span> to coincide with circle 2
</span>
scale factor=radius circle 2/radius circle 1-----> 15/5----> 3
radius circle 1 will be=5*scale factor-----> 5*3-----> 15 cm
radius circle 1 is now equal to radius circle 2
A translation, followed by a dilation<span> will map one circle onto the other, thus proving that the circles are similar</span>
