The following system of equations 8x - 12y = -9 and 18x + 27y = 21 are intersecting lines
<u>Solution:</u>
Given, system of equations are 8x – 12y = - 9 ⇒ (1)
And 18x + 27y = 21 ⇒ 6x + 9y = 7 ⇒ (2)
We have to classify the above given system of equations
For the we have to find the solution for the given system of equations
So, now, multiply (1) with 9 and (2) with 12, such that both equations will have same coefficients for y terms, such that, it will be easier to find solution while calculations by cancelling.
72x – 108y = - 81
72x + 108y = 84
(+) ---------------------------
144x + 0y = 3
144x = 3
![x = \frac{3}{144} = \frac{1}{48}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3%7D%7B144%7D%20%3D%20%5Cfrac%7B1%7D%7B48%7D)
Substitute "x" value in (2)
![\begin{array}{l}{\rightarrow 6\left(\frac{1}{48}\right)+9 y=7} \\\\ {\rightarrow \frac{1}{8}+9 y=7} \\\\ {\rightarrow 1+72 y=56} \\\\ {\rightarrow 72 y=55} \\\\ {\rightarrow y=\frac{55}{72}}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Crightarrow%206%5Cleft%28%5Cfrac%7B1%7D%7B48%7D%5Cright%29%2B9%20y%3D7%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20%5Cfrac%7B1%7D%7B8%7D%2B9%20y%3D7%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%201%2B72%20y%3D56%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%2072%20y%3D55%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20y%3D%5Cfrac%7B55%7D%7B72%7D%7D%5Cend%7Barray%7D)
So, given system of equations has 1 solution
which means that, they are intersecting lines.
Hence, the given system of equations are classified as intersecting lines
The answer is 54. Let me know if you need an explanation
Answer:
8
Step-by-step explanation:
(16^3/2)^1/2
We know that a^ b^c = a^(b*c)
16 ^(3/2*1/2)
16 ^3/4
Now rewriting 16 as 2^4
2^4^3/4
2 ^ (4*3/4)
2^3
8
Answer:
0.65 > 3/5
Step-by-step explanation:
3/5 is 0.6 in fraction form
0.65 is greater than 0.6.
Therefore, 0.65 is greater than 3/5.
hope this helps!
Answer:
38
Step-by-step explanation:
38°
<BAY=52°
<YAC+<BAY=90°
<YAC= 38°