C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
3,000 is 10 times as much as
3000 = 10 times of what number
We need to find 10 times what number gives us 3000
Let the unknown number be x
3000 = 10 times x
3000 = 10x
To solve for x, we divide by 10 on both sides
300 = x
So, the unknown number is 300
3000 = 10 times 300
3000 is 10 times as much as 300
The surface area of a shape is the amount of space on the shape
When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area
<h3>How to determine the surface area</h3>
The surface area of a rectangular prism is:
When quadrupled, we have:
Factor out 16
Substitute
The above means that:
The new surface area would be 16 times the initial surface area
Read more about surface areas at:
brainly.com/question/24571594
Negative 5 that is the correct answer
Let's say H is Howard and E is Erin and L is Lee. Since Lee downloaded 16 songs L=16. If Lee downloaded 3 more songs than Howard then H+3=16 so H=13. Is howard downloaded 6 more songs than Erin that means E+6=15. Finally E= 9