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 it takes away 2 than adds 3 and takes away 2 than instead of adding 3 on the fourth number it adds 6 so maybe it doubles the number it adds every time or it adds three onto the last number it added with and continues like that.
Step-by-step explanation:
The answer is 35/18 because you flip 3/7 and multiply it by 5/6
<h3>Formulae Used :- </h3>
<u>Circumference of Circle :- </u>
<u>Value of π (pi) = </u>
<h2><u>A</u><u>n</u><u>s</u><u>w</u><u>e</u><u>r</u><u> </u><u>:</u><u>-</u><u> </u></h2>
9) C = 2πr = 2 × 3.14 × 4
≈ 25.13274
10) C = 2πr = 2 × 3.14 × 7.2
≈ 45.23893
11) C = 2πr = 2 × 3.14 × 10
≈ 62.83185
12) C = 2πr = 2 × 3.14 × 3.6
≈ 22.61947
13) Given :-
Diameter : 8m
Radius = half of D = 4 cm
⇢C = 2πr = 2 × 3.14 × 4
≈ 25.13274
14) Radius = 6 cm
C = 2πr = 2 × 3.14 × 6
≈ 37.69911
15) C = 2πr = 2 × 3.14 × 7.1
≈ 44.61
16) C=2πr=2× 3.14 × 5.2
≈ 32.6
