Answer:
3/2 mph
Step-by-step explanation:
= 
cross-multiply: 8r = 12
r = 12/8 or 1.5 mph
Answer:
149.30ft
Step-by-step explanation:
Since the vertical distance between the two tower = 40ft
The angle of elevation from the lower tower to te higher tower = 15°
The horizontal distance between the two towers = x
Assuming the angle of elevation and the distance between the two towers makes a right angle triangle, we can use SOHCAHTOA and determine which one would be suitable to find x.
Check attached document for better illustration of the triangle.
Tanθ = opposite / adjacent
Opposite = 40
θ = 15°
Adjacent = x
Tan15 = 40 / x
0.2679 = 40 / x
X = 40 / 0.2679
X = 149.30ft
The horizontal distance between the two towers is 149.30ft
Answer:
x = 6.39, y = 1.69 is the solution of the given equation system.
Step-by-step explanation:
Here, the given set of equation is:
5 x = 15 + 10 y ⇒ 5 x - 10 y = 15 ...... (1)
3 x +7 y = 31 ............. (2)
Now, the coefficient of x in first equation id 5 and in second is 3.
So, MULTIPLY (1) with 3 and (2) with -5 , we get:
15 x - 30 y = 45
-15 x- 35 y = -155
<u>ADD BOTH EQUATIONS ,</u> we get:
15 x - 30 y -15 x- 35 y = 45 - 155
or, -65 y = -110
or, y = 110/65 = 1.69
Put y = 1.69 in 3 x +7 y = 31 , we get:
3(x) + 7 (1.69) =31
⇒ 3 x = 19.17 or x = 6.39
Hence, x = 6.39, y = 1.69 is the solution of the given equation system
The graph of the function for values of x ranging from -6 to +6 is shown below.
<h3>Graphing a Quadratic function</h3>
From the question, we are to graph the given quadratic function
The given quadratic function is
f(x) = x² + 3x − 4
The graph of the function for values of x ranging from -6 to +6 is shown below.
The table of values are
x f(x)
-6 14
-5 16
-4 0
-3 -4
-2 -6
-1 -6
0 -4
1 0
2 6
3 14
4 24
5 36
6 50
Learn more on Graphing a quadratic function here: brainly.com/question/9028052
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