Answer:
1/ √2
Step-by-step explanation:
Here, we want to get the value of sin 45
Mathematically the sine is the ratio of the opposite to the hypotenuse
The opposite here is 1 while the hypotenuse is
√2
so the value of sin 45 will be;
1/ √2
Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) The slope / gradient is the coefficient of
, so for a) it will be
.
C is the y-intercept, so the full equation will be
.
b) Again, since the slope is 6, we know the coefficient of
will be 6.
Now, we have a point on the line and so far, we know the equation is
. The coordinates of the point are (2,-6). So now we substitute the y and x values into the equation in order to find C.




c) To find the gradient we must use the formula
.
rise = change in y value
run = change in x value
so, the gradient 
Now the equation is 
Again, to find C we substitute any of the coordinates into the equation. I will use (-1,3).



so c) is 
A line segment has a definite ending and beginning
<span>7x - 2 = 2y
7x = 2y + 2
so
</span>7x = 2y + 2<span>
3x = 2y - 1
----------------subtract
4x = 3
x = 3/4
</span>7x - 2 = 2y
7(3/4) - 2 = 2y
21/4 - 2 = 2y
21/4 - 8/4 = 2y
13/4 = 2y
so
y = 13/4 * 1/2
y = 13/8
answer
<span>(3/4, 13/8)</span>
Answer:
= 4x - 56
Step-by-step explanation: