<span>First we have to determine the slope of each lines by transforming to the slope-intercept form:
y=(3x-7/)4; m2= ¾y=(12x+6)/5, m3 = 12/5
The formula to be used in the proceeding steps is a=tan^-1(m1-m2)/1+m1m2=tan^-1(m1-m2)/1+m1m2
substituting, a=tan^-1(m1-3/4)/1+3m1/4=tan^-1(m1-12/5)1+12m1/5) =>(4m1-3)/(4+3m1)=(5m1-12)/(5+12m1)m1 = -1applying this slope
y -y1 = m(x-x1)
when y1 = 5 and x1 = 4 then,
y - 5 = -1(x-4)
y = -x +4+ 5 ; y = -x +9</span>
Answer:
<em>P</em> = 2/3
Step-by-step explanation:
45 cards in all
15 blue
15 red
15 green
To figure out the probability of red and blue together, add red and blue.
15 + 15 = 30
Since the total is 45, this is how many 30 will be out of.
30 out of 45 = 30/45
Simplify 30/45 by dividing each side by 15
30 ÷ 15 = 2
45 ÷ 15 = 3
30/45 = 2/3
Hey there Mejia021274,
1) Independent systems have exactly one solution:
x + y = 1
x - y = 3
x = 2, y = -1
2) Inconsistent systems have no solutions :
5x + y = 6
5x + y = 10
There is no solution as 5x + y cannot be equal to 6 and 10
3) Consistent systems have a lot of solutions:
x+y = 5
<span>2x+2y = 10 </span>
<span>A few solutions to this system are (1,4), (2,3), (3,2), (4,1), (5,0), and so on.
</span>
Hope this helps :))
~Top
Answer:
9/4z cups
Step-by-step explanation:
Alex recipe uses 7 1/2 cups of flour for 5 batches
Cups of flour per batch = 7 1/2 cups ÷ 5 batches
= 15/2 ÷ 5
= 15/2 × 1/5
= (15*1)/(2*5)
= 15/10
Alex recipe per batch= 3/2 cups of flour per batch
paytons recipe uses 3/4 cup of flour more per batch than alexs recipe
Payton's recipe per batch = Alex recipe per batch + 3/4 cups
= 3/2 + 3/4
= (6+3)/4
= 9/4 cups of flour
Payton's recipe per batch = 9/4 cups of flour
What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe
Payton's recipe for z batches = Payton's recipe per batch * number of batches
= 9/4 cups * z batches
= 9/4z cups
Payton's recipe for z batches = 9/4z cups
I hope this helps you
3.2x-3.4+4x-2
6x-12+4x-2
10x-14
