Answer:
<h2>30 mm</h2>
Step-by-step explanation:
The formula of an area of a circle:
<em>r</em><em> - radius</em>
<em />
We have
Substitute:
<em>divide both sides by π</em>
<em>use π ≈ 3.14</em>
The diameter <em>d = 2r</em>.
Therefore
Answer:
The product of two rational numbers is a rational number
Step-by-step explanation:
I'll quickly recap the proof: a rational number is, by definition, the ratio between two integers. So, there exists four integers m,n,p,q such that
If we multiply the fractions, we have
Now, mp and nq are multiplication of integers, and thus they are integers themselves. So, ab is also a ratio between integer, and thus rational.
Answer:
B. 8.4
Step-by-step explanation:
y=1.8x+1.2
x= weeks
y= pounds lost
Sub in for weeks
y=1.8(4)+1.2
y=8.4
Answer:
GCF or LCM to solve. Then solve,
2 2. A summer camp has 84 girls and 105 boys.
ny The camp director wants to split the campers
into groups in which the combination of girls
and boys in each group is the same. What is
the maximum numb
Step-by-step explanation:
Answer:
y = x - 2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this formula, "m" represents the slope and "b" represents the y-intercept. Before writing our equation in this form, we first need to find the slope. The slope can be found using the point-slope formula:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope, "x₁" and "y₁" represent the values from Point One, and "x₂" and "y₂" represent the values from Point Two. You can find the slope by plugging the values from the points into the equation and then simplifying.
x₁ = 0 x₂ = -3
y₁ = -2 y₂ = -5
y₁ - y₂ = m(x₁ - x₂)
(-5 - (-2)) = m(-3 - 0)
-3 = m(-3)
1 = m
Now that we have a value for the slope, we can use the values from either one of the points to solve for the y-intercept (from the slope-intercept form equation).
m = 1
x = 0
y = -2
y = mx + b
-2 = (1)(0) + b
-2 = 0 + b
-2 = b
Therefore, the equation of the line in slope-intercept form is:
y = x - 2
