Answer:
See graph below
Step-by-step explanation:
The domain is (-∞,∞) and the range is [1,∞)
Answer:
Step-by-step explanation:
take angle A as reference angle
using tan rule
tan A=opposite/adjacent
tan A=5/12
tan A=0.41
A=tan 22.5
A=22.5
for ratio,
tan A=5/12
Answer:
The ages of the children are 6, 9 and 12.
Explanation:
Let x= the age of the youngest child.
If the oldest child is twice the age of the youngest, the age of the oldest child is twice x or 2x.
If the middle child is 3 years older than the youngest, the age of the middle child is x+3.
If the sum of their ages is 27, then
x+2x+x+3=27aaa(Combine like terms)
4x+3=27aaa
aa−3a−3aaa(Subtract 3 from both sides)
4x=24
4x4=24aaa(Divide both sides by 4)
To solve this problem, we should create an equation using the given information. To do this, we should calculate the slope between the two points as if they were regular points, giving us:
change in y/change in x = (v-4)/(-6-0) = (v-4)/(-6)
Since we know that the slope is 2, we can set our calculated value for the slope of the line for the equation (v-4)/(-6) equal to 2, as shown below:
(v-4)/(-6) = 2
To solve this equation, we should multiply both sides of the equation by -6 to get rid of the denominator on the left side of the equation.
v-4 = -12
Next, we should add 4 to both sides of the equation to get the variable v alone on the left side of the equation, as shown below:
v = -8
Therefore, v =-8 is your answer.
Hope this helps!
Set up and solve an equation:
3(90-x) = (180-x). Then 270 - 3x = 180 - x, or 270 - 180 = 2x.
90 = 2x, so x = 45 deg.
Is this true? 3(90-45) = (180-45)? If so, x = 45 degrees is correct.
