<em>kx</em> + <em>z</em> = 3 means <em>z</em> = 3 - <em>kx</em>. Substitute this into the first two equations:
<em>x</em> + <em>y</em> + 3 (3 - <em>kx</em>) = 10 ==> (1 - 3<em>k</em>) <em>x</em> + <em>y</em> = 1
-4<em>x</em> + 3<em>y</em> + 5 (3 - <em>kx</em>) = 7 ==> (-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em> = -8
Multiply through the first equation by -3 :
-3 ((1 - 3<em>k</em>) <em>x</em> + <em>y</em>) = -3 (1) ==> (-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em> = -3
Add this to the second equation to eliminate <em>y</em> :
((-3 + 9<em>k</em>) <em>x</em> - 3<em>y</em>) + ((-4 - 5<em>k</em>) <em>x</em> + 3<em>y</em>) = -3 + (-8)
(-7 + 4<em>k</em>) <em>x</em> = -11
Normally, you would solve for <em>x</em> by dividing both sides by -7 + 4<em>k</em>. But you can't do that if this turns out to be equal to 0, which happens for
-7 + 4<em>k</em> = 0 ==> <em>k</em> = 7/4
It is 4803 i am not good at math so dont ask me how i got it cause i did it in my head
Hello! Sorry, this took a minute.
All of the x's are on the same line, and they are equal to 180 degrees.
2x+x+3x+x=180
A straight line equals 180.
Combine like terms.
7x=180
Divide both sides by 7.
25.714... round to 25.7
Now, plug that into the angle that is vertical to 2y. (3x)
3(25.7)= 77.1
So, 3x= 77.1 and 2y= 77.1
Plug that in.
2y=77.1
Divide both sides by 2.
y=38.55
Round that up to 38.6.
"D" is the answer.
I hope this helps!
~kaikers
I’m not sure but maybe the second one
Answer:
64 square yards
Step-by-step explanation:
If the room is a square, then all sides of the room should be equal. To find the area of the room, we would need to multiply 2 adjacent sides of the room, meaning 24 x 24 = 576. Since we need yards of carpet, not feet, and we know that 1 square yard is 9 square feet, we divide our total area in feet by 9. This gives us 64sq yards of carpet
