Answer: 73
Step-by-step explanation:
Answer: Linear pair is a pair of two supplementary angles. But two supplementary angles might or might not form a linear pair, they just have to "supplement" each other, that is their sum should be 180°, thus the Answer is B: Sometimes
Answer:
11. C=5
12. SQRT (43)
Step-by-step explanation:
11. 3^2+4^2=9+16=25
12. 8^2-4^2=64−16=48
Answer:
Step-by-step explanation:
Given
See attachment for illustration
Required
Find x
To do this, we apply Pythagoras theorem.
From the attachment, the length of the hypotenuse is 16.7ft
While the length of the opposite/adjacent is 8.9ft
Length x is calculated using:
Take square roots
You only have two observations to work the equation for the velocity.
You only can assume a linear relation.
Part a.
Calling x the independent variable (time in hours) and y the dependent variable (velocity in km/h) =>
x (time in hours) y (velocity in km/h)
1 5
2 3
Now you use the linear relation:
slope: (3 - 5) km/h/ (2 - 1)h = - 2 km/1h^2 = - 2 km/h ^2
Equation:
y - 3 = slope * (x - 2)
=> y - 3 = - 2 ( x - 2)
=> y - 3 = - 2x + 4
=> y = 3 - 2x + 4
=> y = - 2x + 7
that is the slope-intercept form.
the standard form is y + 2x - 7 = 0
part B.
to draw the graph you can make a table with the points for the first four hours:
x (time in hours) y (velocity in km/h)
-2x + 7
1 -2(1) + 7 = 5
2 -2(2) + 7 = 3
3 -2(3) + 7 = 1
4 -2(4) + 7 = - 1
The graph, of course, is a straight line, because we started from that assumption.
