Answer:
D
Step-by-step explanation:
becuase the -3 is going threw the dots
Answer:
x = -13
Step-by-step explanation:
9 - 2x = 35
<u>-9 -9 </u>
-2x = 26
divide by -2
x = -13
The slope of the line may be calculated by using the formula:
m = (y2 - y1)/(x2 - x1), where m is the slope, and (x1, y1) and (x2, y2) are two points on the line.
Using the points (0, -1) and (2, 4) shown, we can substitute these values into the formula above to get:
m = (y2 - y1)/(x2 - x1)
m = (4 - (-1))/(2 - 0)
m = 5/2
Therefor, the slope is 5/2.
Another way to think about the slope is in terms of rise/run, that is for a given interval that the x-value 'runs', by how much does the y value 'rise'?
Here, if we take the same two points (0, -1) and (2, 4), we can see that the x-value has moved 2 units, and the y-value has increased by 5 units. Thus:
if slope = rise/run, then the slope would be 5/2
Note that you should be careful when using this method if the y-value decreases as x increases; in this scenario, the 'rise' would be a negative value rather than a positive one
We know that
in the right triangle ACD
Applying the Pythagoras theorem
AC²=AD²+CD²------> AD²=AC²-CD²-----> AD²=5²-4²---> AD²=9----> AD=3
let
∅=angle CAD
tan ∅=4/3
in the right triangle CDB
the angle DCB is equal to ∅
tan ∅=DB/CD-------> DB=CD*tan ∅------> DB=4*(4/3)----> DB=16/3
AB=AD+DB-----> 3+16/3----> AB=25/3----> AB=8.33
the answer is
<span>b. 8.3</span>
You're mixing water and flour, following the rule that for each 4.5 cup of flour you add 10 cups of water.
Note that 10:4.5 is equivalent to 20/9.
