Answer:
2x - y = 9
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Rearrange y + 1 = 2(x - 4) into this form
y + 1 = 2x - 8 ( add 8 to both sides )
y + 9 = 2x ( subtract y from both sides )
9 = 2x - y ⇒ 2x - y = 9 ← in standard form
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let w represent the width, hence:
length = w + 33, height = w - 13
Volume (V) = w(w + 33)(w - 13) = w³ + 20w² - 429w
V(w) = w³ + 20w² - 429w
Rate of change = dV/dw = 3w² + 40w - 429
When w = 38, dV/dw = 3(38)² + 40(38) - 429 = 5423
When w = 53, dV/dw = 3(53)² + 40(53) - 429 = 10118
Rate = 10118 - 5423 = 4695 in³/in
The volume of the trough is V(w) = w³ + 20w² - 429w and the rate of change of the volume over a width of 38 inches to 53 inches is 4695 in³/in
Find out more on equation at: brainly.com/question/2972832
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Answer:
151°
Step-by-step explanation:
Supplementary angles equal 180°, so all you have to do here is subtract 29 from 180 to get 151° as the supplement.
Answer:
Step-by-step explanation:
If ΔABC ~ ΔDEF
Then their sides must be proportional such that:
=> 
Cross Multiplying
=> x * 6 = 8*3
=> 6x = 24
Dividing both sides by 6
=> x = 4
Answer:
y = x + 15
Step-by-step explanation:
okay so you're gonna use the y2-y1/x2-x1 formula to find the slope (m)
24 - 19/9 - 4 = 5/5 = 1
so that is your slope (m)
and now if you follow your slope then you should get your y-intercept (b)
4 - 1 = 3 19 - 1 = 18
(3, 18)
3 - 1 = 2 18 - 1 = 17
(2, 17)
2 - 1 = 1 17 - 1 = 16
(1, 16)
1 - 1 = 0 16 - 1 = 15
(0, 15)
so thats your y-intercept (b)
and the equation will look like:
y = mx + b y = x + 15 or y = 1x + 15 (but the 1 isn't necessary)
