Answer:
Answer:
The graph will be 
2 units away from the origin on positive 
and three units upward from the origin towards 
.
Step-by-step explanation:
Here is a graph attached with it.
To graph 
we know that positive 
is a 
shaped from the origin.
Key points:
- To move rightward there must be a negative inside the parentheses.
- And to move upward we must have positive
.
If we have to move towards then we must have negative inside it.
And if we have to move upward in positive we must have positive constant value.
So the graph will be three units upward and two units rightward with a V-shaped ray.
Answer:
8.6
Step-by-step explanation:
VW = WX / cos (36°)
= 7 / 0.81
= 8.6
Answer:
Step-by-step explanation:
180 = 7x +2 + 7x + 2 + 180 - (17x -23)
180 = 14x +4 + 180 -17x +23
180 = -3x +207
3x = 27
x = 9
Part (i)
<h3>Answer:
x^2 + 5x + 6</h3>
-----------------
Work Shown:
(x+3)(x+2)
y(x+2) ..... Let y = x+3
y*x + y*2 ... distribute
x(y) + 2(y)
x(x+3) + 2(x+3) .... plug in y = x+3
x*x + x*3 + 2*x + 2*3 ... distribute
x^2 + 3x + 2x + 6
x^2 + 5x + 6
=====================================================
Part (ii)
<h3>Answer:
4x^2 - 16x + 7</h3>
-----------------
Work Shown:
We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.
The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.
Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.
The terms in those four inner cells (gray boxes) are:
The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.
We end up with the answer 4x^2-16x+7
