The picture is too blurry for me even when I try zooming in on it
Answer:
n<4+9
n<13
Step-by-step explanation:
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
So first of all the triangle is flipped so the corresponding sides are a little confusing to see. Either way HJ and DF correspond meaning 9 and 12 correspond.
What's the relation? Well 9/12 is 3/4 so each side of the small one is 3/4 of the big one!
GH and CD correspond so 12 is 3/4 of CD
So set up this equation:
12 = 3/4*CD
Multiply by 4/3
16=CD
That's your answer for the first one^
Now finding the perimeter is just adding all the sides so we have two of the sides, 16 and 12 but we need to find the hypotenuse. We can do the same thing earlier just with the hypotenuse side!
15 = 3/4*FC
4/3 times both sides
20=FC
So just add 20 and 16 and 12 which is 48! 48 is your perimeter!
Hope that helps! :3
- mathwizzard3
Answer:
36 divided by 2 is 18 = plus 1p
Step-by-step explanation: