Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Answer: since the parent function is f(x), then i think....
f(x) + 5 is the shifted 5 units up of f(x)
then the first answer is correct
f(x - 8) is 8 shifted 8 units right of f(x)
then the second answer is wrong,
f(x) is replaced by 4f(x) means it stretched vertically by a factor of 4
the the third answer is correct
f(x) is replaced with f(3x) compressed horizontally by a scale factor of 1/3
then the fourth answer is correct
Step-by-step explanation: i hope this makes since and sorry if it doesn't so the first is correct, second is wrong, third is correct, and fourth is also correct. and no there well be no links. (sorry if you do want links)
and maybe a brainliest
Answer:
The domain of the function should be:
'x greater than or equal to negative -5'.
Hence, option A is true.
Step-by-step explanation:
Given the expression
The domain of a function is the set of input or arguments for which the function is real and defined
We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,
i.e.
x-5 ≥ 0
x ≥ 5
In other words, the domain of the function should be:
'x greater than or equal to negative -5'.
Therefore, the domain of the function:
x ≥ 5
Hence, option A is true.
There are a lot of rational number between 7.7 and 7.9, but the problem asked to find only one ratio number, so I will choose one which is 7.8. 7.8 is a rational number because ration number means that it can change into a fraction or improper fraction.
Now, let's change 7.8 into the fraction
First of all, change this into mixed number:
7.8
=7 8/10
=7 4/5
Then, change this into improper fraction.
Step 1:
Numerators:
7×5+4=39
Step 2:
Denominator
5, so your final answer will be 39/5. Hope it help!
Answer:
To graph (like the provided picture) you must understand y=mx+b. Your m would stand for your slope which you need to determine with rise over run. Rise over run can be done by finding a place where both the x and y values are lined up. (0,-2) can be used as an example from the picture. You then want to find the next point where the x and y values line up which (-2,1) can be used. Go up 3 units and go to the LEFT 2 times which makes this a negative run. The slope would then be represented as -3/2.
Your x value stands for your x-value moving up or down while you b value stands for your y-intercept which point (0,-2) is represented as. Y represents the y value after the equation is plugged in with x and solved.
