Answer:
1)x=-6,y=1 2)a=0,b=-8 3)j=8,k=1 4)m=3,n=-6
Step-by-step explanation:
1)x-4y=-10,2x+y=-11
x-4y=-10
x=4y-10
2\left(4y-10\right)+y=-11
8y-20+y=-11
9y-20=-11
9y=9
y=1
x=4-10
x=-6
x=-6,y=1
2)a-3b=24,a+2b=-16
a-3b=24
a=3b+24
3b+24+2b=-16
5b+24=-16
5b=-40
b=-8
a=3\left(-8\right)+24
a=-24+24
a=0
a=0,b=-8
3)k-j=-7
4j-5k=27,-j+k=-7
4j-5k=27
4j=5k+27
j=\frac{1}{4}\left(5k+27\right)
j=\frac{5}{4}k+\frac{27}{4}
-\left(\frac{5}{4}k+\frac{27}{4}\right)+k=-7
-\frac{1}{4}k-\frac{27}{4}=-7
-\frac{1}{4}k=-\frac{1}{4}
k=1
j=\frac{5+27}{4}
j=8
j=8,k=1
4)m+n=-3,m-4n=27
m+n=-3
m=-n-3
-n-3-4n=27
-5n=30
n=-6
m=-\left(-6\right)-3
m=6-3
m=3
m=3,n=-6
Answer:
x = 7 1/3
Step-by-step explanation:
First, add 1/2 and 6
1/2 + 12/2 = 13/2 = 6 1/2
Our equation now:
13/2 over 3 - x - 3 over 2 = 0
Next, divide 13/2 by 3
13/2 divided by 3 = 13/6
Our equation now:
13/6 over 3 - (x - 3) over 2 = 0
Now, find common denominators and simplify
13/6 - ((x - 3) times 3) over 6 = 0
22 - 3x over 6 = 0
Multiply by six on both sides
22 - 3x = 0
Subtract 22 from both sides
-3x = -22
Divide by -1
3x = 22
Divide both sides of the equation by 3
x = 22/3
x = 7 1/3
Hope this helps!
Answer:
the right answer is d)40 because supplementary=180,180-140=40
Answer:
5353 ft
Step-by-step explanation:
We have height of the mountain = x
We also have
tan (21°44')= x/13428.7 → x=5352.98ft
Height of the mountain to the nearest foot = 5353 ft
Hope this helps ʕ•ᴥ•ʔ
