Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
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A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
Answer:
4 1/4
Step-by-step explanation:
f(x) = 2/3(6) + 1/4
f(x) = 4 + 1/4
f(x) = 4 1/4(4.25)
Answer:
104.4 for A.
Step-by-step explanation:
Answer:
h≅ 8 yards
Step-by-step explanation:
Given data
Volume of cone= 301.44 cubic yards
Radius of cone= 6 yards
Required
The Height of the cone
The expression for the volume of a cone is given as
V= 1/3πr^2h
Substitute
301.44= 1/3* 3.142*6^2*h
301.44= 37.704*h
Divide both sides by 37.704
h= 301.44/37.704
h= 7.99
h≅ 8 yards
If it's parallel then: y= -1/2x+2.5
