The height of the ramp is 9 meter
<u>Solution:</u>
It is given that a skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point.
If we look at the sum, closely we understand that the ramp is a right angled triangle.
Which has a base length of 12 metres and a hypotenuse of 15 metres.
We need to find its height.
To do so we can use the Pythagoras theorem
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition, we get

Since we already know the lengths of the hypotenuse and base we can substitute them in the formula and solve for the height.
Let height of the ramp be denoted by ‘h’

Therefore, the height of the ramp is 9 meter
For lines to be perpendicular their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1
So we first need to find the slope of the reference line.
m=(y2-y1)/(x2-x1)=(7-2)/(-1--5)=5/4
So the perpendicular line will have a slope of:
5m/4=-1
m=-4/5
So our perpendicular line so far is:
y=-4x/5+b, now we can use point (3,-1) to solve for the y-intercept, "b"
-1=-4(3)/5+b
-1=-12/5+b
-5/5+12/5=b
7/5=b
So the line is:
y=-4x/5+7/5 or more neatly
y=(-4x+7)/5
y=-0.8x+1.4
To understand the algebra, go through the following equations below:
- First the thing to note is that the top square is the square of the bottom square: Stage 1: 1 &
, stage 2 = 2 &
, stage 3 = 3 & 
- Second image: Just add the two values above to get the total of tiles needed. For stage 5: 5 +
= 30, Stage 12: 12 +
= 156
Part B
- First equation : y =
+ n
- second equation: y = n + (n*n)
<h3>Meaning of algebra</h3>
Algebra is defined as a branch of mathematics that deals with variables, symbols and finding of these unknown using arithmetic operation such as ( +, -, *, ÷ )
Algebra is the study and understanding of mathematical symbols and how to manipulate them in mathematical problems and formulae.
In conclusion, the above are the solution to the questions on the attached image.
Learn more about algebra: brainly.com/question/22399890
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The answer to this equation is A) 50 times larger