Answer:
B.
Step-by-step explanation:
5(y - 6) means 'Multiply the difference between y and 6 by 5'.
Answer: 213 meters.
Step-by-step explanation:
A=2(wl+hl+hw) is the formula. l = 6, w = 3.5, h = 9 for this problem.
2([3.5 x 6]+[9 x 6]+[3.5 x 9])
2(21+54+31.5)
2(106.5)
A=213
Sorry if this isn’t a great explanation. Hope this helps.
Answer:
<em>x </em>equals 3.6.
Step-by-step explanation:
A way to solve this equation is to preform the inverse operations on both sides.
1. Add 19 to -19 and 5: 5<em>x </em>+ 6 - 19 + 19 = 5 + 19 ---> 5x + 6 = 24
2. Subtract 6 from 6 and 5: 5x + 6 - 6 = 24 - 6 ---> 5x = 18
3. Divide 5x and 18 by 5: 5x / 5 = 18 / 5 ---> x = 3.6
4. 3.6 is the answer.
To prove it, substitute x with 3.6 in the equation: 5 · 3.6 + 6 - 19 = 5
I hope this made sense and helped you a lot! :)
X=2h, y=3k
Substitute these values into equations.
y+2x = 4 ------> 3k+2*2h=4 -----> 3k +4h =4
2/y - 3/2x = 1-----> 2/3k -3/(2*2h) = 1 ------> 2/3k - 3/4h =1
We have a system of equations now.
3k +4h =4 ------> 3k = 4-4h ( Substitute 3k in the 2nd equation.)
2/3k - 3/4h =1
2/(4-4h) -3/4h = 1
2/(2(2-2h)) - 3/4h = 1
1/(2-2h) -3/4h - 1=0
4h/4h(2-2h) -3(2-2h)/4h(2-2h) - 4h(2-2h)/4h(2-2h) =0
(4h- 3(2-2h) - 4h(2-2h))/4h(2-2h) = 0
Numerator should be = 0
4h- 3(2-2h) - 4h(2-2h)=0
Denominator cannot be = 0
4h(2-2h)≠0
Solve equation for numerator=0
4h- 3(2-2h) - 4h(2-2h)=0
4h - 6+6h-8h+8h² =0
8h² +2h -6=0
4h² + h-3 =0
(4h-3)(h+1)=0
4h-3=0, h+1=0
h=3/4 or h=-1
Check which
4h(2-2h)≠0
1) h= 3/4 , 4*3/4(2-2*3/4)=3*(2-6)= -12 ≠0, so we can use h= 3/4
2)h=-1, 4(-1)(2-2*(-1)) =-4*4=-16 ≠0, so we can use h= -1, also.
h=3/4, then 3k = 4-4*3/4 =4 - 3=1 , 3k =1, k=1/3
h=-1, then 3k = 4-4*(-1) =8 , 3k=8, k=8/3
So,
if h=3/4, then k=1/3,
and if h=-1, then k=8/3 .
