The partial blueprint of a house that includes 3 bedrooms is shown below. The scale is 2.75 inches : 3 feet. What is the actual length and width of Bedroom 3 in feet?
Bedroom 1 w=9.17; l= 11 in
Bedroom 2 w=7.33 in; l= 12.83
Bedroom 3 w= 11 in; l= 14.67 in
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2.75 inches : 3 or 2.75 in / 3 feet
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Can you see the updates?
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Bedroom 3 w= 11 in; l= 14.67 in
11 in * 3 feet / 2.75 in = 12 feet
14.67 in 3 feet / 2.75 in = 16 feet
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Answer
Bedroom 3 w= 12 ft ; l= 16 ft
Hey!
So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:
-3y + 4x = 9
-3y = -4x + 9
y = (4/3)x - 3
Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:
6 = (4/3)(-12) + b
6 = -16 + b
22 = b
Now that we know b, we have both the y-intercept and the slope so our equation would be:
y = (4/3)x + 22
Wait, could you please restate what I'm supposed to answer xD Thank you
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = 2x² + 12x + 1
To express in vertex form use the method of completing the square.
The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x
y = 2(x² + 6x) + 1
add/ subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9) + 1
= 2(x + 3)² - 18 + 1
= 2(x + 3)² - 17 → C
This looks like the additive inverse property, because when you add something to its negative counterpart (or its additive inverse), you get 0 as a sum.
Another example would be 2+ (-2) = 0. -2 is the additive inverse for 2.
