The solutions are x = 2.5, y = -1.5, but what are the statements?
Simplify the second equation.
1/2y = -x + 1
Multiply both sides by 2
y = -2x + 2
Since both equations equal y you can set them equal to each other.
-2x + 2 = 3x - 1
Solve for X
-5x = -3
x = 3/5
Plug this into one of the equations.
3(3/5) - 1 = y
1.8 - 1 = y
y = .8
(0.6, 0.8)
Answer:
x = 24.99 or 25
Step-by-step explanation:
<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>
sin y = (1/5)
y = 11.54°
90 - 11.54 = 78.46°
<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>
1² + b² = 5²
1 + b² = 25
b² = 24
b = √24
<em>Now we can use tan to figure out the length of segment DC.</em>
tan(78.46) = z/√24
z = 23.99
<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>
1 + 23.99 = 24.99 or <u>about</u> 25.
Answer:
The difference between the largest and the smallest shares is $280
Step-by-step explanation:
Total amount to be shared = $560
Ratios of share are 2:3:9 => Total of 14 equal portions
To get one portion, $560 / 14 = $40
First share is 2, therefore $40 x 2 = $80 (smallest share)
Second share is 3, therefore $40 x 3 = $120
Third share is 9, therefore $40 x 9 = $360 (largest share)
<u>TOTAL = $560</u>
The difference between the largest and the smallest = $360 - $80
= $280
Answer:
0.89
Step-by-step explanation:
