Answer:
x = 147/5 and y = 78
Step-by-step explanation:
First solve by substitution and put 78 into y in -5x + 2y = 9 so you get 147/5
then plug 147/5 into x and find y
Supplementary angles have sum = 180
m<TUW = 31
m<TUV = 180 - 31 = 149
answer is 149 (last choice)
second picture:
answer is vertical angles (2nd choice)
An equation that forms a straight line on a graph.
More precisely, a linear equation is one that is dependent only on constants and a variable raised to the first power. For example, y=6x+2 is linear because it has no squares, cubes, square roots, sines, etc. Linear equations can always be manipulated to take this form:
ax+b=0
You won't always see linear equations written exactly like that, but keep in mind that we can manipulate equations to put them in a particular form if necessary.
Linear equations are often written with more than one variable, typically x and y. Such equations will have many possible combinations of x and y that work. When those points (known as coordinate pairs) are plotted on an x-y axis, they will form a straight line. Let's take a look at this graphically below. The two equations drawn are linear. Note that one is in the form y=3 (it is dependent on just a constant, 3), and the other equation is y=0.75x−0.5 (a linear term and a constant).
Answer:
79.2 kilometres per hour
Step-by-step explanation:
1 km = 1000 m
1 hr = 3600 sec. To convert km/hr into m/sec,
We multiply the speed which in this case is 22m/s
by 3.6 giving 79.2 kmh. Therefore 22m/s into kilometer is 79.2 kmh.
56 + 8x
Area of Rectangle = Length x Width
Area of Rectangle = 8(7 + x)