<h3>
Answer:</h3>
y = 2x + 5
<h3>
Step-by-step explanation:</h3>
<u>Definitions</u>:
Slope Intercept form; y = mx + b
m = slope
b = y intercept
Step 1: Since the slope is given plug it into y = mx
y = 2x + b
Step 2: Plug a points' x and y into their corresponding spots to solve for b
(33) = 2(14) + b
Simplify and solve
33 = 28 + b
-28 -28
5 = b
Plug both your slope in and your y intercept into y = mx + b
y = 2x + 5
Answer:
3139.5 m²
Step-by-step explanation:
the formula for the volume of a sphere of radius r is V = (4/3)πr³. In this particular case, V = 2098π m³ = (4/3)πr³, and from this we can calculate the radius, r:
2098π m³
r³ = ----------------- = (3/4)(2098 = 1483/5
(4/3)π
Thus r = ∛1573.5 m³ = 11.64 m
Then the surface area is A = 4πr², which in this case is
A = 4(3.14159)(11.64 m)^2 = 1702.6 m² (which is to the nearest tenth).
Answer:
153/20
Step-by-step explanation:
I assume you're asking

So

=

Answer:
x = 
Step-by-step explanation:
Using the rule of exponents
= 
Note that 8 = 2³ and 2 =
, then
=
, that is
= 
Since the bases on both sides are equal, equate the exponents
3x = 1 ( divide both sides by 3 )
x = 