First, simplify the expression
Here you have three terms with
group them in the following way:


Then substitute s=-3 and t=5:

Answer: 19.
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:
C = 2πr
Step-by-step explanation:
The circumference of a circle is calculated by the formula here,
C is the circumference of the circle.
r is the radius of the circle.
π is 22/7 or 3.14.
In the given options π is not missing.
Therefore the formula that relates circumference and radius is C = 2πr.
Answer:
2-1 feflect like your math teacher told you
Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, </em><em>b</em><em>)</em>
<em />
The fromual of a slope:

<em>(x₁, y₁), (x₂, y₂)</em><em> - points on a line</em>
<em />
We have the points from the graph:
(0, 1) → <em>b = 1</em> and (3, 3).
Calculate the slope:

Finally we have the equation of a line:
