Answer:
(1)


(2)


Step-by-step explanation:
Solving (1):
Considering

We have:

This gives:

Solve for a


So:


To solve for b, we make use of Pythagoras theorem

This gives



Collect like terms

Take LCM and solve


Take square roots

Solving (2):
Considering

We have:

This gives:

Solve for a


So:



To solve for b, we make use of Pythagoras theorem

This gives


Collect like terms


Take square roots

Answer:
The slope of the line is 3.
The point on the line (1,4).
Step-by-step explanation:
Point Slope form is: 
'm' is the slope.
(x1, y1) is the point used to make the equation.
In the equation given, 3 replaces 'm', 4 replaces '<em>y1'</em> and 1 replaces '<u>x1'</u>.
y - <em>4</em> = 3 (x - <u>1</u>)
Therefore:
The slope of the line is 3.
The point on the line (1,4).
<em>Brainilest Appreciated. </em>
That sounds correct to me.
Answer:
j=2
Step-by-step explanation:
<em>First, subtract by 5 from both sides of equation.</em>
<em>5-j-5=3-5</em>
<em>Simplify.</em>
<em>3-5=-2</em>
<em>-j=-2</em>
<em>Divide by -1 from both sides of equation.</em>
<em>-j/-1=-2/-1</em>
<em>Simplify, to find the answer.</em>
<em>-2/-1=2</em>
<em>It change negative to positive.</em>
<em>j=2 is the correct answer.</em>
<em>I hope this helps you, and have a wonderful day!</em>
Answer:
Solution given.
The length of the prism is <u>5</u>m.
The width of the prism <u>is</u><u> </u><u>4</u> m.
The height of the prism is <u>3</u>m.
The prism holds a total <u>of5</u><u>*</u><u>4</u><u>=</u> <u>2</u><u>0</u> cubes.
The volume is <u>l</u><u>*</u><u>w</u><u>*</u><u>h</u><u>=</u><u>5</u><u>*</u><u>4</u><u>*</u><u>3</u><u>=</u><u> </u> <u>6</u><u>0</u>m3.