Answer:
(x+c)(x-d)
Step-by-step explanation:
if x²-ax-b=(x-c)(x+d)
from vieta theorem
c + d = -(-a)=a
cd = b
if x²+ax-b
from vieta theorem
c + d = -(a)=-a
cd = b
so the same c d but in opposite sign (x+c)(x-d)
Answer: (1)
Step-by-step explanation:
The parts listed in the congruence statement aren't corresponding, meaning they don't have to be congruent.
Great, that means that angle GNJ added to angle JNK will result in 90 degrees.
There's obviously some information missing here because you haven't even asked a question.
But, for instance if angle GNJ = 30 degrees, then angle JNK = 60 degrees.
Hello!
When multiply binomials together, we should use the FOIL method.
The FOIL method is an acronym for First, Outer, Inner, and Last.
First, let's set up the expression.
(7x - 1)(3x - 2)
Now, we can multiply in accordance with the FOIL method.
First: 7x · 3x = 21x²
Outer: 7x · -2 = -14x
Inner: -1 · 3x = -3x
Last: -1 · -2 = 2
Now, we simplify the inner terms.
21x² - 14x - 3x + 2
21x² - 17x + 2
Therefore, the area of the rectangle is 21x² - 17x + 2.
Answer:
Shaded area is 392
Step-by-step explanation:
The triangles on the left have heights 14 and 14, the ones on the right have 20 and 8.
The bases are equal, so we can compute them as (40-12)/2 = 28/2 = 14
The triangles have areas:
14*14/2 = 14*7 = 98
14*14/2 = 14*7 = 98
20*14/2 = 20*7 = 140
8*14/2 = 8*7 = 56
note that the triangles on the left and the ones on the right have the same total area! That would have happened no matter what the height split was!
The total area is 98+98+140+56 = 196 + 196 = 392
