Answer:
13. A
14. C.
Step-by-step explanation:
A relation is a function if there is only one y assigned to each x.
That is if you have a set of points, there should be no repeated x value.
So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.
The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.
The y-intercept is where the graph goes through the y-axis at. It goes through at -1 so b=-1.
The slope is rise/run. So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works. You can do the counting if you want. You could also use the slope formula.
To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.
(0,-1)
-(3,1)
--------
-3 -2
So the slope is -2/-3 or just 2/3.
So the equation is y=2/3 x-1
C.
Well I am going to assume you need slope-intercept form. So the equation is y=mx+b. m is slope, b is y intercept. So you just plug it in -6= -1/2(6)+b. -6=-3+b. Now you figure out for b so what does b have to be to make the equation equal. Well -3 so -6=-3+-3, or -6=-6.
y=-1/2x-3
Hope that helped
Answer:
9 blocks
Step-by-step explanation:
The total of what John has already walked and the number more he must walk will be equal to the number he has to walk to get to school.
12 + more = 5 + 9 + 7
more = 9 + 5 + 7 - 12 . . . . . subtract 12 from both sides
more = 9
John must walk 9 blocks more.
_____
We recognize that 5+7 = 12, so that last part of the sum totals zero.
Answer: 51.9 degrees
Step by step explanation:
Sin(71)/35.6=Sin(x)/21.3
21.3Sin(71)=35.6Sin(x)
21.3Sin(71)/25.6=sin(x)
Sin^-1(21.3Sin(71)/25.6)=x
51.87827502 degrees=x
51.9= angle x
