Answer:
y=2x+8
Step-by-step explanation:
y=mx+b
M: cost for each ride, $2
B: Flat admission rate, $8
Answer:
<h2>x = 4</h2><h2>JT = 18</h2>
Step-by-step explanation:
Given three points J, C and T on a line, if J is between C and T then;
CJ + JT = CT.
Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;
SInce JT = 4x+2
<h2>
Answer:</h2>
A=12in²
Step-by-step explanation:
b Base 8in
hb Height 3in
A=hbb
2=3·8
2=12in²
Step-by-step explanation:
The x-intercept is the value of x when y is 0
So you need to substitute:
0 = 4x + 7
-7 = 4x
-7/4 = x
(-7/4,0)
Similarly, the y-intercept is the value of y when x is 0
So:
y = 4x + 7
y = 4(0) + 7
y = 7
(0,7)
Answer:
2√6 m
Step-by-step explanation:
The formula for the vol. of a cone is V = (1/3)(area of base)(height).
Here, V = 20π m³ = (1/3)(area of the base)(10 m)
We need to solve for (area of the base).
Multiplying both sides of this equation by (3/10) results in:
(3/10)(20 π m³) = (area of the base)
This simplifies to 6π m² = (area of the base)
We still must find the diameter of the base. Let's find the radius of the base first: The formula for the area of a circle is A = πr². Here we have 6π m² = πr², which tells us that r² = 6 m². Since d = 2r, and r = d/2, r² = d²/4. Then the equation 6 m² = r² becomes:
6 m² = d²/4.
Solve this for d. Multiplying both sides by 4, we get:
24 m² = d²2, and d = √(24 m²) = 2√6 m
The cone diameter is 2√6 m.
