Answer:Add x to both sides of the equation.y=3+2x
Step-by-step explanation:
For the first one it’s subtraction property of equality
A. y=2x
because slope-intercept form is y=mx+b. m= slope & b= y-int. The y-int is at the origin, so therefore y=0. The slope is 2, so therefore the answer is y=2x
Answer:
<em>The length of the arc on the sixth swing was </em><em>12.18 ft.</em>
Step-by-step explanation:
A rope is swinging in such a way that the length of the arc traced by a knot at its bottom end is decreasing geometrically.
The third arc is 22 ft. long and the seventh arc is 10 ft.
Hence, the 3rd term is 22 and 7th term is 10.
The length of the arc on the sixth swing is asked, so we have to calculate the 6th term.
We know the nth term in GP is,

So,
----------------1
----------------2
Dividing equation 2 by 1,





![\Rightarrow r=\sqrt[4]{\dfrac{10}{22}}](https://tex.z-dn.net/?f=%5CRightarrow%20r%3D%5Csqrt%5B4%5D%7B%5Cdfrac%7B10%7D%7B22%7D%7D)

Then the 6th term will be,
----------------3
Dividing equation 2 by 3,




Therefore, the length of the arc on the sixth swing was 12.18 ft.
<h3>We'll be using...</h3>
To find the volume, you use a simple formula. And that formula is L×W×H.
To find the surface area, you need to find the area of each piece and add it up later in the end.
<h3 />
<em>75.</em>
L=3 cm, W=1 cm, H=3 cm ... We'll be using.
<em>Volume</em>
To solve the volume, you need to use the formula. 3×1×3.
3×1×3 ... Equation
3×3 ... Step 2
9 ... Answer
<em>Surface area</em>
(3×3)2 ... Multiply by 2 since there is only 2 3×3 piece
36+((3×1)4) ... Step 2
18+12... Step 3
30 ... Answer.
So for number <em>75, </em>volume = 9 cm³ and SA = 30 cm²
<em>76.</em>
L=6 ft, W=2 ft, H=5 ft
<em>Volume</em>
6×2×5 ... Step 1
12×5 ... Step 2
60 ... Answer
<em>Surface area</em>
(6×5)2 ... Step 1
(2×5)2 ... Step 2
(6×2)2 ... Step 3
60+20+24 ... Step 4
104 ... Answer
So, for number <em>76, </em>volume = 60 cm³, SA = 104 cm²
77.
L=4 m, W=2 m, H=6 m
<em>Volume </em>
4×2×6 ... Step 1
8×6 ... Step 2
48 ... Answer
<em>Surface Area</em>
(4×2)2 ... Step 1
(2×6)2 ... Step 2
(4×6)2 ... Step 3
16+24+48 ... Step 4
40+48 ... Step 5
88 ... Answer
So, for 77, Volume = 48 m³ and SA = 88 m²