Well you have to Multiply the numerators together and then <span>Multiply the denominators together after that you simplify </span><span>Convert the improper fraction (if it is improper) to a mixed fraction answer. To do this divide the denominator into the numerator finding the quotient and remainder.</span>the fraction and then
1) To get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
<h3>Equations</h3>
From the question, we are to determine how we can get equation B from equation A
From the given information,
A. 5x - 2 + x = x - 4
B. 5x + x = x - 4
From above, we can observe that to get equation B from equation A, we will add 2 to the left hand side of equation A
That is
5x - 2 + 2 + x = x + 4 → 5x + x = x + 4
Hence, to get equation B from equation A, we will add a quantity to the left hand side of equation A. The correct option is A. Add/subtract a quantity to/from only one side
2) The equations are not equivalent. They do not have the same solution
Learn more on Equations here: brainly.com/question/21765596
#SPJ1
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.
1) Convert the angles to decimal form:
19' * 1°/60' = 0.32° => 21° 19' = 21.32°
20' * 1°/60' = 0.33° => 16° 20' = 16.33°
2) Deduce the trigonometric ratios from the verbal information.
You can form a triangle with
- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h
=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)
You can form a second triangle with:
- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)
Now equal the two expressions for h:
(x+65)*tan(16.33) = x*tan(21.32)
=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet
=> h = 195.73 * tan(21.32) = 76.39 feet.
Answer: 76.39 feet
-3/4x + 5/6 y = 15
Multiply through by 6
-9/2x + 5y = 90
Add 9/2x to both sides
5y = 90 + 9/2x
Divide both sides by 5
y = 18 + 9/10x
y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c
Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18
