Answer:
No solutions
Step-by-step explanation:
The graph does not contact the x axis
There are no real answers for this reason.
Considering the angle of the ray, it is found that the value of x is of x = 55º.
<h3>What is the angle of the ray?</h3>
The ray has an angle of 180º. It is composed by:
Hence:
x + 35 + 90 = 180
x = 180 - 125
x = 55º.
More can be learned about angles and rays at brainly.com/question/25770607
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Required expression is x/9 - 7
Answer:
4,8
Step-by-step explanation:
let the numbers be x and y
x+y=12
x-y=-4
add
2x=12-4=8
x=8/2=4
4+y=12
y=12-4=8
so numbers are 4 and 8
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
= 3·4ⁿ + 51
= 3·4ⁿ⁺¹ + 51
- = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
- = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ - is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since - is divisible by 9, we have;
- = - is divisible by 9
Therefore is divisible by 9 and is divisible by 9 for all positive integers n
Step-by-step explanation: