Answer: Slope: -1/2
Step-by-step explanation: To find slope take 2 points that lie on the line and use this formula to solve: <em> </em>I will use (0, -2) and (2, -3) to solve
↑ ↑ ↑ ↑
y2 - y1 x1 y1 x2 y2
-----------
x2 - x1
So, for this question, substitute the x and y values from the points above to solve.
-3 - (-2)
----------- = - 1/2
2 - 0
Hope this helped. :)
Answer:
(x + 5)^2 + (y + 8)^2 = 6^2
Step-by-step explanation:
A circle formula: (x - h)^2 + (y - k)^2 = r^2
We are given diameter. To find the radius divide diameter by 2.
d = 12
12/2 = r = 6
H and K are given to be (-5 , -8)
(x - (-5))^2 + (y - (-8))^2 = 6^2
(x + 5)^2 + (y + 8)^2 = 6^2
I have plot this equation to confirm my answer is correct where the origin is (-5 , -8) and has a radius of 6.
Answer:
23.04 m^2
Step-by-step explanation:
The volume of a prism is base * height. In the case of a triangular prism, you need to find the area of the base first (aka the triangle).
The area of a triangle is base * height / 2. Since we have the values for those we can substitute the values into the formula and solve.
2.4 * 3.6 / 2 = 3.84.
Now multiply that by height of the prism, which is 6, and we get 23.04 m^2.
Hope this helps!
Answer:
Step-by-step explanation:
Well 6 to the second power is when you multiply 6 x 6 = 36
And ab= -320
f(3) is equal to -101.
<u>Step-by-step explanation</u>:
- The sequence is followed by f(0)=4
- The given expression is f(n+1)= -3f(n)+1
Put n=0,
f(0+1)= -3f(0)+1
f(1)= -3(4)+1
f(1)= -12+1 = -11
Put n=1,
f(1+1)= -3f(1)+1
f(2)= -3(-11)+1
f(2)= 33+1 = 34
Put n=2,
f(2+1)= -3f(2)+1
f(3)= -3(34)+1
f(3)= -102+1
f(3)= -101
