Answer:
aₙ=23 - 8n
Step-by-step explanation:
15, 7, -1,....
AP with the first term of 15 and common difference -8
aₙ=a₁+(n-1)d= 15+(n-1)*(-8)= 15 -8n +8= 23 - 8n
aₙ=23 - 8n
Answer:
x=13
Step-by-step explanation:
14x-2=180
+2 +2
14x=182
/14 /14
x=13
Answer:
Bill is 9.80 km apart from Concert
Step-by-step explanation:
It's given in the question,
m∠B = 75°
m∠C = 45°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
m∠A + 75° + 45° = 180°
m∠A = 180° - 120°
m∠A = 60°
By sine rule,


BC = 
= 9.80 km
Therefore, Bill is 9.80 km apart from Concert.
Convert any mixed numbers to fractions.
Then your initial equation becomes:
15
4
×
4
1
Applying the fractions formula for multiplication,
=
15
×
4
4
×
1
=
60
4
Simplifying 60/4, the answer is
15
Answer:
Domain → (-∞, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Domain of a function is defined by the x-values or input values of the graph.
Similarly, Range of the function is defined by the y-values or output values from the graph.
From the picture attached,
x - values for the line shown in the graph vary from negative infinity to positive infinity.
Therefore, Domain of the function will be → (-∞, ∞)
And for every x-value there is a y-value, so Range of the function will be same as domain (varying from negative infinity to positive infinity) → (-∞, ∞)