Answer:
<h2>Answer :</h2>
The original price is x, so 20% of x, - x, equals the sale price. You can use the equation:
x-.2x=15.20
.8x=15.20
/.8. /.8
x=19
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Step-by-step explanation:
Step-by-step explanation:
1. first multiply -1 times all elements of matrix A
2. then multiply 1/3 by all elements of matrix B
3. then add each corresponding entries to get the result.
from step 1. matrix A will be
-4 -2. -1. -3
-2. 0. 1. -3
step 2. matrix B will be
3. -1. -2. -4
3. -10. 10. -1
add each corresponding elements to get
-1. -3. -3. -7
1. -10 11. -4
Answer:
The solution to the system of equations are;
x = -4/3
y = 5/3
Step-by-step explanation:
To find the Solution, we would carry the Operation simultaneously.
4x + 2 = -2y .........(i)
6y - 18 = 6x ..........(ii)
First let's rearrange the equations, to make the journey smoother
2y + 4x = -2 ...........(iii)
6y - 6x = 18 ...........(iv)
Let's Multiply equation (III) by 3 so as to have a uniform spot to begin elimination.
3.2y + 3.4x = -2 . 3
6y + 12x = -6............... (v)
Let's subtract equation (v) from equation (iv)
= 0y - 18x = 24
-18x = 24
x = - 24 / 18
x = -4/3
Let's substitute (x = -4/3) in equation (ii), so that we can solve for the value of y:
6y - 18 = 6x
6y - 18 = 6 (-4/3)
6y - 18 = -8
6y = -8 + 18
6y = 10.
y = 10 / 6
y = 5/3
The solution to the system of equations are;
x = -4/3
y = 5/3
Answer:
Answer: 13.4 m
Step-by-step explanation:
For small angles, x, in radians,
tan(x) ≈ sin(x) = x
Use this to create an approximate diagram for the problem as shown in the figure below.
The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.
The extend length is 3 km + 12 cm, which is
3000 + 0.12 = 3000.12 m
Half of the extended length is 1500.06 m
Let h+ the rise of the center of the rail above ground.
From the Pythagorean theorem, obtain
h² + 1500² = 1500.6²
h² = 1500.06² - 1500² = 180.004
h = 13.4 m, which is about 0.9% of the original length.
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