Answer:
Slope ratio of first triangle: 3:2
6/4x is the slope but its ratio is the same as the other triangle 3:2
Step-by-step explanation:
Answer: The perimeter of the rectangle is 53.8. One side is 24, and the other is 2.9.
Step-by-step explanation:
First you need to divide 69.6 meters by 2.9. This gives you 24 as the other side of the rectangle(remember that the area of a rectangle is 
). Next you multiply 2.9 x 2. This gives you 5.8, then you multiply 24 by 2. This gives you 48. You add the two values together,and you get the perimeter of the rectangle as 53.8.
Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
Answer:
32/25
Step-by-step explanation:
Any finite-length, or repeating, decimal number is a rational number. Perhaps you want the number expressed as the ratio of two integers.
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You can start by recognizing that the value of the number is one hundred twenty-eight hundredths, or 128/100.
This improper fraction can be reduced by removing a factor of 4 from numerator and denominator:
128/100 = 32/25
n is the consecutive natural numbers
