In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,
y - y₁ = m(x - x₁)
Substituting the known values,
y - 1 = (2/3)(x - 1)
Simplifying,
3y - 3 = 2x - 2
Further simplifying,
<em> 2x - 3y = -1</em>
Answer:
y - 6 = - 7(x - 3)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (5, - 8)
m = 
= 
= - 7
Use either of the 2 points for (a, b)
Using (3, 6), then
y - 6 = - 7(x - 3) ← in point- slope form
<span>With a boys to girls ratio of 8:7, this means 8/15 of the campers are boys and 7/15 of the campers are girls.
We are told that there are 195 total campers.
To find # of boys: 195 (the total # of campers) x 8/15 (fraction of the campers that are boys) = 104 boys
To find # of girls: 195 (total # of campers) x 7/15 (fraction of the campers that are girls) = 91 girls
Note: If you do not know how to multiply by fractions, let me know, I have another trick that takes more time but doesn't require the use of fractions.
</span>
Answer:
a) 54π cm³
Step-by-step explanation:
area of circle=πr²
9π
π9*6=54π
