Answer:
x=11/2
Step-by-step explanation:
Answer:
Solution set = (-5, -2)
Step-by-step explanation:
Given equations;
-7x + 8y = 19 ------------- eq1
7x – 9y=-17 --------------- eq2
Adding both equations:
-y = 2
OR
y = 2
Put value of y in eq2:
7x - 9(-2) = -17
7x + 18 = -17
7x = -17 -18
7x = -35
x = -5
Solution set = (-5, -2)
i hope it will help you!
question 6,
Answer : 35.7 degree from north
Step-by-step explanation:
Bearing is angle w.r.t the north.
To calculate this angle we need the angle of the triangle in the diagram.
We know two sides of the triangle the base (18) and Perpendicular(25).
Tan(x) = 25/18
arctan(25/18) = 54.24 deg
Subtracting from 90 to get angle w.r.t north 90-54.24 = 35.7
Question 7,
Solution: 33.12
Explaination
calculate the length of the straw within the glass.
It makes a right angle triangle with the glass, where the length is the hypotenuse.
the base is 9 (radius *2 = 4.5*2)
using Cos(x) = base / hypotenuse
cos(72) = 9 /Hypotenuse
Hypotenuse = 9/cos(72)
Hypotenuse = 29.12
total length is hypotenuse + the length protruding out(4)
29.12 + 4 = 33.12
By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 3/2 on the <em>parent</em> function f(x) = √x.
<h3>How to compare two functions by concepts of transformation</h3>
In this question we have a <em>parent</em> function g(x) = √[(3/2) · x] and a <em>transformed</em> function f(x) = √x. Transformations are operations in which parent functions are modified in their relationships between inputs and outputs.
In this case, the difference between f(x) and g(x) occurred because of the application of a operation known as <em>vertical</em> stretch, defined below:
f(x) = g(k · x), k > 0 (1)
Where k is the <em>stretch</em> factor. There is a compression for 0 ≤ k < 1.
By applying the concept of transformation, the <em>transformed</em> function g(x) = √[(3/2) · x] is the consequence of applying a <em>stretch</em> factor of 2/3 on the <em>parent</em> function f(x) = √x. (Right choice: C)
To learn more on transformations: brainly.com/question/11709244
#SPJ1
