Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that the origin is always ( 0, 0 ).
Next, as shown in the diagram attached, we can establish that there is a right-angle triangle formed when we connect the different points given from the problem. We can use this to solve the problem.
As the shape is a right-angle triangle, we can use Pythagoras' Theorem which is as follows:
a^2 + b^2 = c^2
Where c = hypotenuse of the right-angle triangle
Where a and b = other two sides of the right-angle triangle which aren't the hypotenuse
From this, we will substitute the values from the problem into Pythagoras' Theorem.
a^2 + b^2 = c^2
a = 12
b = 5
c = distance from the origin = d
THEREFORE:
( 12 )^2 + ( 5 )^2 = d^2
d^2 = 12^2 + 5^2
d^2 = 144 + 25
d^2 = 169
d = square root of ( 169 )
d = 13
FINAL ANSWER:
Therefore, the point ( 12, 5 ) is 13 units from the origin.
Hope this helps! :)
Have a lovely day! <3
Answer:
C.
Step-by-step explanation:
3 times 2 is 6, 2 times 5 is 10, 5 times 3 is 15. However you need 2 for each since there are 3 sets of two equal faces. So it will be 6+6+10+10+15+15
The answer is x=12 after I did the math that is my answer
<u><em>Answer:</em></u>
There are 7 zeroes in the standard form of 10⁷
The number is: 10,000,000
<u><em>Explanation:</em></u>
<u>A power</u> represents how many times this number is multiplied by itself
<u>For example:</u>
x² means we will multiply x by itself 2 times (x * x)
x⁵ means we will multiply x by itself 5 times (x * x * x * x * x)
<u>The standard form</u> of a number means the number written with no powers
Now, the given number is 10⁷
<u>This means that:</u>
The number is 10 multiplied by itself 7 times
10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000 .........> standard form
We can observe that it has 7 zeroes
Hope this helps :)