Answer:
X = 9,X= -5, a = 2, b = -13
Step-by-step explanation:
For (1),
Using Cross-factorization,
it can be reduced to (X - 9)(X + 5) = 0
Equate each factor to 0:
we have X = 9 and X = -5
For (2),
It is the case of completing the Square,
add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)
(X^2 + 4X + 4) - 9
can be simplified to (X+2)^2 -9
However since we added 4 it means we have to subtract 4
So it becomes (X+2)^2 -9 -4
= (X+2)^2 -13
Answer:
yes
Step-by-step explanation:
Ur asking for slope intercept form, but ur answer choices are in point slope form....so I am gonna find the answer in point slope form.
y - y1 = m(x - x1)
slope(m) = 2/3
(5,-3)....x1 = 5 and y1 = -3
now we sub...but pay very close attention to ur signs
y - (-3) = 2/3(x - 5) =
y + 3 = 2/3(x - 5) <=== ur answer in point slope form
Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is and
The rotation of angle from 2nd quadrant to 3rd quadrant is .
<em></em><em> total rotation is </em>.
6 bags of dog food × $9 = 54
$89 total - $54 spent on dog food = $35 spent on cat food
$35 / $8 = 4.375, but you can't have decimals for cat food bags so round down.
= 4 bags of cat food