0.14 in fraction form is 7/50
Answer:
3.11 miles
Step-by-step explanation:
Hello!
First we have to get the distance into meters
The problem says there are 5 kilometers in a race and 1000 meters in a kilometer so 5 kilometers is 5000 meters
Now we turn the meters into miles
It says a mile is about 1609.34 so we can divide the amount of meters by how many meters are in a mile
5000/1609.34 = 3.106
Round to the nearest tenth
3.106 ⇒ 3.11
The answer is 3.11 miles
Hope this helps!
Answer:
(0, 4) (-4, 3) (-4, 4)
Step-by-step explanation:
Translation rules:
Units UP - Add to the y-coordinate.
Units DOWN - Subtract from the y-coordinate.
Units RIGHT - Add to the x-coordinate.
Units LEFT - Subtract from the x-coordinate.
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In this case, the word problem is asking for the points after a translation of 3 units up.
(x, y+3)
(0,1) → (0,4)
(4,0) → (4,3)
(4,1) → (4,4)
--------------------------------------------------------------------------------------------------------------Now it's time to reflect the new points over the y-axis.
When reflecting over the y-axis, the y-coordinate remains the same, but the x-coordinate becomes the opposite value. (-x, y)
(0,4) → (0,4)
(4,3) → (-4,3)
(4,4) → (-4,4)
The beginning formula that you start with is y=m(x)+b
after the problem is written into the formula your ready to start.
It should look like this:
26y=-0.4(1)+b
to get the entire formula you've gotta find the
y-intercept or "b"
to start solving multiply the "m" by the "x" A.K.A:
-0.4×1
you should come up with the answer -0.4 since everything multiplied by 1 is still the same thing depending on if its positive or negative
after you've finished solving the multiplication part the equation should look slightly different like this:
26y=-0.4+b
the next step is the get "y" by itself since right now is a variable.
also you should always remember what ever process of simplifying by the same number to get rid of it in a "y=m(x)+b" equation should be done the same to the other side
take a look at the "-" sign in front of 0.4 this would mean that you are going to do the oppisite opperation to cancel it out so you would be adding the same number to either side. after adding the -0.4 to itself that would leave "b" by itself the problem should now look like this:
(26y+0.4)=b
forget about the y for now and focus on the (26+0.4)
you should get 26.4=b
insert this into the original equation of "y=m(x)+b" and this should look like this:
y=-0.4(x)+12.4
