Answer:
X2 = 1.0792
Y2 = 2.0594
ΔX = 4.0792
ΔY = 3.0594
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
OR
X2 = -7.0792
Y2 = -4.0594
ΔX = -4.0792
ΔY = -3.0594
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
You have to deal with this type of question step by step. Firstly, you can figure out all the unknown values (such as sqrt x-3), by substituting x for 19, as you are trying to figure out f(x) when x=19. Therefore:
x+2=21
sqrt(x-3)=sqrt(19-3)=sqrt 16=4
Now the equation is easier to handle:
3/21 - 4
We can write this as 3/21 - 4/1 , which equals -27/7.
Answer:
19 miles
Step-by-step explanation:
Let m represent the number of miles traveled. Then the delivery charge is ...
charge = $5.00 + $0.15·m
You want to find the value of m that makes the charge by $7.85, so you want the solution to ...
$7.85 = $5.00 +$0.15·m
$2.85 = $0.15·m . . . . . . . . . subtract $5 (this gives the mileage charge)
$2.85/$0.15 = m = 19 . . . . . divide by the coefficient of m
The number of miles traveled is 19.
Answer:
x<13
Step-by-step explanation:
To solve this, we want to have the isolate the variable x on the left side, by itself without a coefficient. All we have to do to do this is add 4 to both sides, cancelling out the -4 and getting x<13
Let a = longest side <em> (Establishing labels)</em>
let b = shortest side
let c = third side
P = 14.5 <em> (Given)</em>
a = 6.2
b = 1/2(a)
P = a + b + c
P = 6.2 + 3.1 + c <em>(Fill in given info in equation)</em>
P = 9.3 + c <em>(Simplify)</em>
14.5 = 9.3 + c <em>(Simplify)</em>
c = 14.5 - 9.3 <em>(Solve)</em>
c = 5.2
Hope this made sense!