Answer
the equation of a line that is perpendicular to −x+3y=9 is y=-3x-7
Step-by-step explanation:
Equation of given line is −x+3y=9
we write the equation in y =mx+b to find slope of given line (m)
−x+3y=9
Add x on both sides
3y = x+ 9
Divide by 3 on both sides
Slope of given line = 1/3
Slope of perpendicular line is the negative reciprocal of slope of given line
Slope of perpendicular line = -3
Perpendicular line passes through point (-3,2) that is (x1,y1)
Now we use point slope equation
y - y1 = m (x-x1)
y - 2 = -3(x-(-3))
y - 2= -3(x+3)
y -2 = -3x -9
Add 2 on both sides
y = -3x - 7
Answer:
The ratio of any two corresponding lengths in two similar geometric figures.
Step-by-step explanation:
You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.
If you divide the length of DE by the length of AB:
a^2/a =a.
You get a scale factor of “a”
Answer:
Y = -8.17
X= -4.936
For the first one
Step-by-step explanation:
4x=26+6y
X = 6.5+1.5y
5(6.5+1.5y)-4y = 8
32.5+7.5y-4y = 8
24.5=-3y
Y = -8.17
X= -4.936
Answer:
yes; 1.25
Step-by-step explanation:
The length to width ratios of the rectangles are ...
A: 12/8 = 1.5
B: 15/10 = 1.5
C: 30/15 = 2.0
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Rectangles A and B have the same aspect ratio, so are similar. Rectangle B is a scaled copy of A with a scale factor of 10/8 = 1.25.