Answer:
I think the answer would be -1/2 or D.
Step-by-step explanation:
Use this formula for calculating slope : y2-y1 / x2 - x1
1. label the pairs, 1 and 2
(-6, 1) - ( x1, y1 ) or (4,-4) - (x1, y1)
(4,-4) - ( x2, y2) (-6,1) - (x2, y2)
(the order does not matter)
2. Than plug in your numbers
y2-y1 / x2 -x1 y2-y1 / x2 -x1
-4 - 1 / 4 - (-6) or 1 - (-4) / -6 - 4
= -5/10 or -1/2 = - 5/-10 or -1/2
im only in eight grade so i did my best explaining , and this hope it helps :)
Answer:
c) (6,0)
Step-by-step explanation:
The formula to find a slope is y=mx-b where m is the slope (to find the slope you find the change in y and the change in x) which in this case is -3. The change in y is -3 and the change in x is -1. If you put it on a graph the line is going down from left to right and it intersects the y-axis at 18 meaning if you keep sloping down in a straigt line it intersects the x-axis at (6,0).
Answer:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.
Step-by-step explanation:
Answer:
y=t−1+ce
−t
where t=tanx.
Given, cos
2
x
dx
dy
+y=tanx
⇒
dx
dy
+ysec
2
x=tanxsec
2
x ....(1)
Here P=sec
2
x⇒∫PdP=∫sec
2
xdx=tanx
∴I.F.=e
tanx
Multiplying (1) by I.F. we get
e
tanx
dx
dy
+e
tanx
ysec
2
x=e
tanx
tanxsec
2
x
Integrating both sides, we get
ye
tanx
=∫e
tanx
.tanxsec
2
xdx
Put tanx=t⇒sec
2
xdx=dt
∴ye
t
=∫te
t
dt=e
t
(t−1)+c
⇒y=t−1+ce
−t
where t=tanx
Answer:
Step-by-step explanation:
1) ABCD is a trapezium. AB ║ CD
∠ADC + ∠DAB = 180° { Co interior angles}
110° + ∠DAB = 180
∠DAB = 180 -110
∠DAB = 70°
2) Sum of all angles of trapezium = 360°
∠A + ∠B + ∠DCB + ∠D = 360
70° + 50° + ∠DCB + 110° = 360
230 + ∠DCB = 360
∠DCB = 360 - 230
∠DCB = 130°
3) For finding the height, use Pythagorean theorem
height² + base² = hypotenuse²
height² + 6² = 10²
height² + 36 =100
height² = 100 - 36
height² = 64
height = √64
height = 8 m
4) a = AB = x m
b = 9 m
h = height = 8 m
Area of trapezium = 120 m²
= 120
x + 9 = 120/4
x + 9 = 30
x = 30 - 9
x = 21 m
AB = 21m
