So, you need to know that the slope stays where it is, and that the 6 is not part of the final answer, so get rid of it.
y=2x+b
Now, submit x in for x, and y in for y.
3=2(1)+b
3=2+b
1=b
Put this in for the equation missing the b,
y=2x+1
Now check it; if you put 1 in for x, does y=3?
Hello from MrBillDoesMath!
Answer:
sin(A) = k/c
sin(C) = k/a
Discussion:
By definition of sine
,
sin(A) = side opposite angle / hypotenuse = k/c
sin(C) = side opposite angle/ hypotenuse = k/a
Added remark:
From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.
asin(C) = csin(A) => divide both sides by "ac"
sin(C)/ c = sin(A)/a
Which is the law of sines for a triangle.
Thank you,
MrB
9 the smallest angle is always opposite the smallest side
Answer: choice d, angle B
They couldn't match the choice letters with the angles? Geez.
10. That's an isoscles triangle
d + d + 116 = 180
2d = 64
d=32
choice a
11. 62+45+k=180
k=180-107 = 73
choice b
The y-intercept of the line would change but the slope would not.
Slope is the rate of change of a line. If the y-values all decrease the same amount, the rate that the line is changing will not change. For example, let's take the points (5, 6) and (3, 2). The slope is given by (6-2)/(5-3) = 4/2 = 2. Now let's decrease the y-coordinates all by 2:
(5, 4) and (3, 0)
The slope now would be (4-0)/(5-3) = 4/2 = 2.
By changing the y-values the same amount, the amount of difference between them stays the same, and so does the rate of change of the line.
Since we shifted the y-values down, however, this moves the line down on the graph, which will change the y-intercept.
