Answer:
a1 = 0.5; common ratio = 5
Step-by-step explanation:
Let the common ratio = r
a2 = 2.5
a3 = 2.5r
a4 = 2.5r * r = 2.5r^2
We are told a4 = 62.5, so
2.5r^2 = 62.5
Divide both sides by 2.5
r^2 = 25
r = 5
a2 = a1 * r
a1 = a2/r = 2.5/5 = 0.5
Answer: a1 = 0.5; common ratio = 5
Answer:
Step-by-step explanation:
Standard form is written this way: 
However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.
So, to do this, we have to combine like terms.
The only like terms that can be combined are -4x and 8x.
So, we add 4x to both sides, and we get: .
Answer:
Thats good!
Step-by-step explanation:
the answer is D
reason: ration of freshmen to sophmores is 17 to 19, for other way around, flip the num ber
Answer:
1. y= 3x+7
2.y=1/2 x -1
Step-by-step explanation:
1.
Parallel lines have the same gradient.In the equation given,
y= 3x+5 , the slope is 3
So now, you find the equation of a line passing through point (-1,4) with m=3
m=Δ y/Δx
3= y-4/ x--1
3= y-4 /x+1
3(x+1) = y-4
3x+3 =y-4
3x+3+4=y
⇒⇒ y= 3x+7 is the equation.
2.
Two lines that are perpendicular to each other have the product of their slopes to be -1
Given equation to be y= -2x +8 then, m₁ = -2
Finding m₂ will be;
m₁ *m₂ = -1
-2 * m₂ = -1
-2 m₂ = -1
m₂ = -1/-2 = 1/2
So writing the equation of the perpendicular line with m₂ =1/2 , point (-4,-3)
will be;
m=Δy/Δx
1/2=y--3/x--4
1/2 = y+3/x+4
x+4 = 2( y+3)
x+4 = 2(y+3)
x+4 =2y+6
x+4-6=2y
x-2=2y
x/2 -2/2=y
y=1/2 x -1 is the equation.
