Answer:
z = 1/2
Step-by-step explanation:
Step 1: Write equation
22z + 6 - 10 = 6z + 4
Step 2: Solve for <em>z</em>
- Combine like terms: 22z - 4 = 6z + 4
- Subtract 6z on both sides: 16z - 4 = 4
- Add 4 to both sides: 16z = 8
- Divide both sides by 16: z = 8/16
- Simplify: z = 1/2
Step 3: Check
<em>Plug in z to verify it's a solution.</em>
22(1/2) + 6 - 10 = 6(1/2) + 4
11 - 4 = 3 + 4
7 = 7
Answer:
26 meters
Step-by-step explanation:
a = bh
416 = 16h
Divide both sides by 16
h = 26
26 meters
Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c

Thus the equation of the line is
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 

When x=3, y=3,

Thus the equation of the line is
.
Answer:
$103.88
Step-by-step explanation:
$98 + 6% is 103.88.
Lateral faces are all the sides of the prisms EXCEPT the bases, which are the sides on the top and bottom. To find the area of the lateral faces we can use the formula: perimeter x height.
perimeter = 2 (6 + 8) = 2 x 14 = 28
height = 14
area of the lateral faces = perimeter x height = 28 x 14 = 392
Hope this helps!