Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7
and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so
to find the intersection, yo just find when both sentances are correct so
y=7
subsitute that into y=1/2x+6
7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x
so the point (2,7) is the intersection
Answer:
6 6/25
Step-by-step explanation:
6 24/100 = 6 (6·4)/(25·4) = 6 6/25
_____
You reduce a fraction by removing the common factors from numerator and denominator. Of course, you know that 0.24 is twenty-four hundredths, also written as 24/100.
First, find out x
x+15+2x+15=180
3x+30=180
3x=150
x=50
so the two angels are x+15=65(let's name is ∠5 for convenience), and ∠6= 2x+15=115
notice the two inner lines are marked as congruent, so
∠4=∠5=65
∠1=180-∠4-∠5=180-65-65=50
Name the right bottom angle ∠7, ∠3=∠7 and ∠3+∠7=the exterior angle 100 degree, therefore, ∠3=50
∠2+∠3=∠4, therefore, ∠2=∠4-∠3=65-50=15
∠1=50, ∠2=15, ∠3=50, ∠4=65
Hello from MrBillDoesMath!
Answer:
x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5
Discussion:
Pascal's triangle looks like this (up to 6 rows)
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.
Thank you,
MrB
