Answer:2 1/2 divided by 5/8 = ?
Step-by-step explanation:
Answer:
1.
-3x + 8y = -5
6x + 2y = -8
Set the equations to a common variable.
-3x + 8y = -5 → 8y = 3x - 5 → y = 3/8x - 5/8
6x + 2y = -8 → 2y = -6x - 8 → y = -3x - 4
Set the equations equal to each other.
3/8x - 5/8 = -3x - 4
Combine like terms.
3x + 3/8x = -4 + 5/8
3.375x = -3.375
Divide by 3.375
x = -1
Plug x back in to find y.
-3x + 8y = -5
-3(-1) + 8y = -5
3 + 8y = -5
8y = -8
y = -1
answer: (-1, -1)
2.
3x + 2y = -16
-3x - 8y = 46
Set the equations to a common variable.
3x + 2y = -16 → 2y = -3x - 16 → y = -3/2x - 8
-3x - 8y = 46 → -8y = 3x + 46 → y = -3/8x - 23/4
Set the equations equal to each other.
-3/2x - 8 = -3/8x - 23/4
Combine like terms.
-9/8x = 9/4
or
-1.125x = 2.25
Divide by -1.125
x = -2
Plug x back in to find y.
3(-2) + 2y = -16
-6 + 2y = -16
2y = -10
y = -5
answer: (-2, -5)
Answer:
choose "infinitely more solutions"
Step-by-step explanation:
Let's solve this system by substitution method
y+1=2x
- 1 = - 1
y = 2x -1 <-- sbstitute this in the next equation
---------------------------------------------------------------------------------
5y+5 = 10x
5(2x -1) + 5 = 10x
10x -5 + 5 = 10x
10x + 0= 10x
- 10x = -10x
0 = 0 <-- infinitely more solutions
Answer:
806.12 m
Step-by-step explanation:
<u>Step 1: Write the data</u>
<em>Side (s) = 12</em>
<em>Altitude (h) = 6</em>
<u>Step 2: Write the formula for surface area of right hexagonal pyramid</u>
<em>Area = 3√3/2*s² + 3*s*√(h²+3s²/4)</em>
<u>Step 3: Substitute values of 's' and 'h'</u>
<em>Area = 3√3/2*(12)² + 3*(12)*√[6²+3(12)²/4]</em>
Area = 806.12 m
Therefore, the total surface area of the pyramid is 806.12 m.
!!
The slope of that line is “undefined”. The slope of horizontal lines are 0 and the slope of vertical lines are undefined.
