Answer:
slope= -1
y-intercept = 24
Step-by-step explanation:
2x +2y=24
2x-24=-2y
divide by then u get:
-1x + 12= y
-1 is ur slope
<u>y-</u><u>intercept</u>
let x=0
y= -1(0)+12
y =0+12
y = 12
Answer:
133°
Step-by-step explanation:
angles on a straight line = 180°
180 - 144 = 36°
angles in a triangle = 180°
36 + 31 = 67
180 - 67 = 113
answer = 113°
Bibby
m=y2−y1x2−x1=15−75−1=84=2y−y1=m(x−x1)⟺(x1,y1)=(1,7)y−7=2(x−1)y−7=2x−2y=2x−2+7 y=2x+5
9514 1404 393
Answer:
(x, y, z) = (-1, 0, -3)
Step-by-step explanation:
We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.
Adding equations 1 and 2:
(2x -3y -2z) +(x +3y +2z) = (4) +(-7)
3x = -3
x = -1
Adding equations 2 and 3:
(x +3y +2z) +(-4x -4y -2z) = (-7) +(10)
-3x -y = 3
Substituting for x, we get ...
(-3)(-1) -y = 3
0 = y . . . . . . . . . . . add y-3 to both sides
Then z can be found from any equation. Substituting for x and y in the second equation gives ...
-1 +2z = -7
2z = -6 . . . . . add 1
z = -3 . . . . . .divide by 2
The solution is (x, y, z) = (-1, 0, -3).
Answer:
39 m.
Step-by-step explanation:
The area of a triangle is calculated by the expression given as:
Area = bh/2
where b is the base and h is the height.
We calculate as follows:
270 = b (15) / 2
b = 36
hypotenuse = sqrt ( 15^2 + 36^2 ) = 39
