First find the slope of the line.
m=slope=(y2-y1)/(x2-x1), in this case:
m=(-1-7)/(9--3)
m=-8/12
m=-2/3
You did not specify which form of the line you wanted.
Slope-intercept form is y=mx+b
y=-2x/3+b, using pint (9,-1) we can solve for b, the y-intercept...
-1=-2(9)/3+b
-1=-6+b
5=b then we have:
y=-2x/3+5 or more neatly
y=(-2x+15)/3
Point-slope form of a line is:
y-y1=m(x-x1), again using (9,-1) as the point and m=-2/3 you get:
y+1=(-2/3)(x-9)
Standard form of a line is ax+by+c:
We can rearrange y=(-2x+15)/3 to standard form
y=(-2x+15)/3 multiply both sides by 3
3y=-2x+15 add 2x to both sides
2x+3y=15
8. complementary angles = 90°
3x+3+10x-4 = 90
13x-1 = 90
13x = 91
so x = 91/13= 7
then K = 3(7)+3 = 24°
so L = 10(7)-4 = 70-4 = 66°
9. P is three less than twice of Q
so P = 2Q-3
supplementary angles = 180°
P+Q = 180
(2Q-3)+Q = 180
3Q-3 = 180
3Q = 183
so Q = 183/3 = 61°
then P= 2(61)-3 = 122-3 = 119°
10. B is two more than three times of C so B= 3C+2
complementary angles = 90°
B+C= 90
(3C+2)+C=90
4C+2=90
4C= 88
so C= 22°
then B = 3(22)+2= 66+2 = 68°
To solve this we will first see how many hats Susan has left when she lets her friends borrow the hats.
45 - 3 = 42
42 - 2 = 40
So, Susan has 40 hats left after her friends borrowed some. Now lets divide to see how many hats will go in 1 cupboard.
40 ÷ 20 = 2
2 hats in each cupboard.
CHECK OUR WORK:-
20 × 2 = 40.
We were RIGHT!!!
So, after Susan's friends borrow some of her hats she can put 2 hats in each cupboard.
Hope I helped ya!!
