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gregori [183]
3 years ago
6

Joshua rented a movie for $4.49 from Cinema Rentals. If the movie is not returned on the due date, Cinema Rentals charges an

Mathematics
1 answer:
amm18123 years ago
5 0

Answer:

R(x) = 2.25x + 4.49

Step-by-step explanation:

Equation form: R(x) = mx + b

m: represents the additional amount Joshua is charged for every day until he returns the movie, which in this case is $2.25. So, the value of m is 2.25.

b: represents the initial cost of renting the movie. Joshua rented the movie for $4.49, so b is 4.49.

Since we know the value of m and b, we can write the equation:

R(x) = 2.25x + 4.49

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If aa skateboard ramp is 15 meters long and it extends 12 meters from the base of the starting point. How high is the ramp?
guapka [62]

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

\text {Hypotenuse}^{2}=\text {height}^{2}+\text { base }^{2}

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’

\begin{array}{l}{15^{2}=12^{2}+h^{2}} \\\\ {225=144+h^{2}} \\\\ {225-144=h^{2}} \\\\ {81=h^{2}} \\\\ {h=\sqrt{81}} \\\\ {h=9}\end{array}

Therefore, the height of the ramp is 9 meter

3 0
3 years ago
Number 15. Find the equation of the line that passes through (3,-1) and is perpendicular to the line that passes through (-5, 2)
MArishka [77]
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

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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

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So the line is:

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3 years ago
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Part B

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<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.

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