Answer:
4x - 5y - 9 = 0
Step-by-step explanation:
The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by 
⇒ 
⇒ 5y + 25 = 4x + 16
⇒ 4x - 5y - 9 = 0 ....(1) (Answer)
Now, this above equation can be represented as
Therefore, the x-intercept is (Answer)
And the y-intercept is . (Answer)
Solve for x:
x^2 + 10 x + 12 = 36
36 = 36:
x^2 + 10 x + 12 = 36
Subtract 12 from both sides:
x^2 + 10 x = 24
Add 25 to both sides:
x^2 + 10 x + 25 = 49
Write the left hand side as a square:
(x + 5)^2 = 49
Take the square root of both sides:
x + 5 = 7 or x + 5 = -7
Subtract 5 from both sides:
x = 2 or x + 5 = -7
Subtract 5 from both sides:
Answer: x = 2 or x = -12 Thus the Answer is A.
Answer:
x = 2
Step-by-step explanation:
To start, you want to isolate x.
To do so, get all the x terms to one side.
2x + 1 = 4x - 3
Subtract -4x on both sides.
-2x + 1 = -3
Then, subtract 1 on both sides.
-2x = -4
Finally, divide -2 on both sides.
x = 2
Answer:
x = 2
Step-by-step explanation:
f(x) = x + 8
f(x) = 10
10 = x + 8
minus 8 from the both sides
10 - 8 = x
2 = x
x = 2
Answer:
C. π(2ft)²(10ft) + 1/3π(2ft)²(13ft-10ft)
Step-by-step explanation:
Given:
diameter = 4ft
length of the cylindrical part = 10ft
entire length of the silo = 13ft
Find the volume of the silo = volume of cylinder and volume of the cone
Formulas:
Volume of cylinder: πr²h
Volume of come: 1/3πr²h
2ft= radius
height =10
volume π×2²×10
radius 2ft
height 13-10=3ft
Volume= 1/3×π×2²×3 cube feet
Therefore the third answer is correct: C. π(2ft)²(10ft) + 1/3π(2ft)²(13ft-10ft)
