Answer:
+1/7
Step-by-step explanation:
One approach to evaluating this would be to rewrite it as:
-2 -5
------ * --------- .
10 7 This reduces to:
2
--------- = +1/7
2(7)
The distance of the yacht from the ship is 35 km
<h3>How to determine the distance?</h3>
See attachment for the diagram that represents the given parameters.
The distance of the yacht from the ship is then calculated using the following law of cosine.
YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)
This gives
YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)
Evaluate the exponents and the products
YS^2 = 576 + 144 + 522
Evaluate the sum
YS^2 = 1242
Take the square root of both sides
YS = 35
Hence, the distance of the yacht from the ship is 35 km
Read more about law of cosine at:
brainly.com/question/4372174
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59 because if you do 3x8 that equals 24 and then you do 35+24 that equals 59
The answer is y = -7x
Expalnation
Two points on the table are (0,0) and (1,-7)
Change in y = -7-0 = -7
Change in x = 1-0 = 1
Slope m of the function = -7/1= -7
Using y= mx + c
Picking point (0,0), x = 0, y = 0
y = mx + c becomes
0 = -7(0) + c
0 = 0 + c
c= 0
Hence, the equation is y = -7x + 0
which is y = -7x
Option b is the correct answer
The phrase you typed can be written in mathematical form using a replacement of "a number" with the letter "x" (for our unknown).
So we can translate in mathematical form as shown below:
"<em>four more than the product of a number and 3 equals 7</em>"
x * 3 + 4 = 7
and of course we can solve this equation by operating with thenumbers so as to isolate the unknown "x"on one side of the equal sign:
Subtract 4 from both sides:
x * 3 = 7 - 4
x * 3 = 3
Divide both sides by 3 (so as to eliminate the factor 3 multiplying x):
x = 3 / 3
x = 1
And our answer is that the unknown number is 1 (one).