Marcus made a mistake in Step 2. 5/2.5 is 2 not 3.
-11 -(-42) A double negative makes a positive
-11 + 42
31
Let the distance be x miles
Time = Distance / speed
Time taken by Mike to go to his friend's house = x / 40 hours
Time taken by him to return = x / 45 hours
Total time = x / 40 + x / 45 = 4 hours
= 9x + 8x = 1440 miles
17x = 1440
= x = 1440 ÷ 7
= x = 84.706
Time taken to return home = 84.706 /45= 1.882 hours .
Therefore , Mike took 1.882 hours to reach home .
Answer:
Last graph that slopes upwards from left to right and that has an y-intercept of -1
Step-by-step explanation:
let us pick some points!(you can chose any two)
when x =3 , y = 14 : helps us get points (3,14)
when x =1 , y = 4 : helps us get points (1,4)
so we find the gradient using the two points:
we now use gradient 10/2 and point (1,4) to find the equation of the line:
from the equation of the line found we are able to find the y- intercept of the line is -1 and that the line has a positive gradient thus should slope upwards from left to right.
From the pictures you posted, we pick the last graph as it seem to slope upwards from left to right and has the line cutting y axis at around -1
A is the answer to your question
Answer: b, c and e.
Step-by-step explanation:
180° degree symmetry will mean that if we do a rotation of 180°, the figure will look exactly the same.
Now, let's suppose we have a figure with an odd number of sides.
We can draw that figure such that we have a side pointing down, and a vertex pointing up.
Now when we do a 180° rotation, the side will be pointing up and the vertex will be pointing down.
Then if the figure has an odd number of sides, it does not have a 180° rotational symmetry.
Now if the figure has an even number of sides, then we can do the same as above, but now we can put two parallel sides, one facing down and the other facing up, and when we do the rotation, we will end with the same image.
Then the correct options are the ones with an even number of sides:
b, c and e.
