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
Substitute "x" value in (2)
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
Volume: 151.6ft
Hope this helps :D
Answer: 1/2
Step-by-step explanation:
The equation given is simplified into y= -2x-3. The slope being -2. When a line is perpendicular you find the opposite inverse. That being -1/2. You flip the top and bottem and top numbers of the fraction. Then make it (positive or negative) opposite of the original slope value. Making it now positive 1/2
Answer:
3 seconds.
Step-by-step explanation:
Answer: Violet has 5 dimes and 15 quarters.
Step-by-step explanation:
let x denotes the number of dimes and y denotes the number of quarters.
Given : Violet has $4.25 worth of dimes and quarters .
Also, 1 dime = $0.1
1 quarter = $0.25
i.e. (1)
She has 3 times as many quarters as dimes.
i.e (2)
Substitute the value of y in equation (1) , we get
Divide both sides by 0.85 , we get
Substitute the value of x in (2) , we get
Hence, Violet has 5 dimes and 15 quarters.