Answer:

Step-by-step explanation:
Starting from the y-intercept of
you do
by either moving one block <em>south</em> over one block <em>west</em> or one block <em>north</em> over one block <em>east</em> [<em>west</em> and <em>south</em> are negatives].
Now, for Line <em>A</em>, we need to convert this <em>Linear</em><em> </em>Standard Equation to Slope-Intercept Form,
where the slope is represented by <em>m</em>:
x + y = 3
- x - x
__________

So, the slope of Line <em>A</em> is
and since −1 is less than 1, <em>less than</em> would be the answer, HOWEVER, they BOTH have some slope of 1, so since −1 is the negative <em>absolute</em><em> </em><em>value</em><em> </em>of 1, <em>equal</em><em> </em><em>to</em><em> </em>will be the answer.
I am joyous to assist you anytime.
Answer:

Step-by-step explanation:


Let's solve for
in the first equation and then solve for
in the second equation.
I will then use the following identity to get right of the parameter,
:
(Pythagorean Identity).
Let's begin with
.
Subtract 2 on both sides:

Divide both sides by -3:

Now time for the second equation,
.
Subtract 1 on both sides:

Divide both sides by 4:

Now let's plug it into our Pythagorean Identity:




Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
<em>when rounded to 1 d.p.</em>
c = 8.7
Line AB is 8.7 cm long.
Answer:

Step-by-step explanation:

Add 2 to both sides

Simplify

Subtract
from both sides

Simplify

Multiply both sides by
(reverse the inequality)

Simplify

Divide both sides by 

Divide the numbers: 

Divide the numbers: 
Apply fraction rule: 

Divide the numbers: 

