Quadrilateral ABCD is translated 7 units down and 2 units to the right.
1 answer:
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Answer:
Step-by-step explanation:
slopes and equations:
find the equation thur ( 6,1 ) and (-2,-3)
find the slope m
m = (y2-y1) / (x2-x1 )
m = (-3 - 1) / (-2 -6)
m = -4 / -8
m = 1/2
now use the point-slope formula with our known slope
y-y1 = m(x-x1)
y-1 = 1/2(x-6)
y - 1 = 1/2x -3
y = 1/2x -3 +1
y = x -2
Find the equation parallel to y = 3x + 6 and thur (0,1)
Parallel means the same slope, the slope is 3 for the equation above.
use the slope-intercept formula again with the point given and the slope 3
y-1 = 3(x -0)
y - 1 = 3x
y = 3x +1
Find the equations perpendicular to 2x + y = 8 and the same y intercept as 4y = x + 3.
put both equations into proper form
y = -2x +6
y = x +
perpendicular means reciprocal slope and change the sign, the 2nd equation has an intercept of , so
y = 1/2x +
there you go Amanda :)
Answer:
a=2
Step-by-step explanation:
Firstly, in order to simplify the expression, we should aim to combine the two terms given. In order to do this, both must have the same denominator. We can give them the same denominator by multiplying the second term by
. This way the fraction value remains the same but now has the same denominator as the first term:
From here we can now combine the two terms:
Therefore, a = 2.
Hope this helped!
Answer & Step-by-step explanation:
For a polynomial of the form +bx+c
, rewrite the middle term as a sum of two terms whose product is a×c=6×−12=−72 and whose sum is b=−1.
Factor −1 out of −x.
−(x)−12
Rewrite −1 as −9 plus 8
+(−9+8)x−12
Apply the distributive property.
−9x+8x−12
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(-9x)+8x−12
Factor out the greatest common factor (GCF) from each group.
3x ( 2 x − 3 ) + 4 ( 2 x − 3 )
Factor the polynomial by factoring out the greatest common factor, 2 x − 3 .
(2x−3)(3x+4)