Answer:
B
Step-by-step explanation:
First label the equations.
6x +3y= 18 -----(1)
y= -2x +5 -----(2)
subst. (2) into (1):
6x +3(-2x +5)= 18
6x +3(-2x) +3(5)= 18 (expand)
6x -6x +15= 18
15= 18 (simplify)
(reject)
There is no solution.
<u>Further explanation</u><u>:</u>
If I rewrite the first equation into the form of y=mx+c, I would get
6x +3y=18
3y= 18 -6x (bring y term to one side)
y= 6- 2x (÷3 throughout)
y= -2x +6
Notice that the gradients of both lines are equal ( -2). This implies that they are parallel to each other and will never meet. Hence there are no solutions.
<u>Answer:</u>
The volume of cylinder in terms of π is 
cubic feet
<u>Explanation:</u>
Given the radius of the cylindrical shaped concrete column is 3 feet
Height of the column is 15 feet
The volume of a cylinder is calculated by the formula;
V = 
, where
r is the radius and h is the height
Substituting the values,
V = 
V = 
Hence, the volume of cylinder in terms of π is cubic feet
X = 2 and y = 11
Hope it helps
Answer:
x = 5/2 + sqrt(41)/2 or x = 5/2 - sqrt(41)/2 thus 2 is the Answer
Step-by-step explanation:
Solve for x:
x^2 - 5 x - 4 = 0
Add 4 to both sides:
x^2 - 5 x = 4
Add 25/4 to both sides:
x^2 - 5 x + 25/4 = 41/4
Write the left hand side as a square:
(x - 5/2)^2 = 41/4
Take the square root of both sides:
x - 5/2 = sqrt(41)/2 or x - 5/2 = -sqrt(41)/2
Add 5/2 to both sides:
x = 5/2 + sqrt(41)/2 or x - 5/2 = -sqrt(41)/2
Add 5/2 to both sides:
Answer: x = 5/2 + sqrt(41)/2 or x = 5/2 - sqrt(41)/2
Answer:
y= 3/5x + 3
Step-by-step explanation:
slope= 3/5
y intercept= 3
