Answer:
9 and -4
Step-by-step explanation:
Find two numbers that multiply to be -36 and add to be -5.
That is -9 and 4.
So the factored form of x^2-5x-36 is (x-9)(x+4)
So the x-intercepts are 9 and -4
Answer:
40 ft
Step-by-step explanation:
If two polygons are congruent to one another, therefore, it implies that the angles and sides of one is congruent to the corresponding sides and angles of the other.
Given that ABCD is congruent to EFGH, therefore:
CD ≅ GH
Since CD = 40 ft, therefore, GH will be 40 ft.
Answer: The points of the images are (9,10), (15,6), (6,4) and the image is not a rigid motion because the shape changes in side.
Step-by-step explanation:
Since it gives you the scale factor then find they coordinates by multiplying the coordinates by the scare factor.
A(3,5) → (3*3,5*2) → (9,10)
B( 5,3) → (5*3, 3*2) → (15,6)
C ( 2,3)→ (2*3, 2*2)→ ( 6,4)
So there is an identity we'll need to use to solve this:
cos(x+y) = cosxcosy - sinxsiny
replace the numerator with the right hand side of that identity and we get:
(cosxcosy - sinxsiny)/cosxsiny
Separate the numerator into 2 fractions and we get:
cosxcosycosxsiny- sinxsiny/cosxsiny
the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:
cosy/siny - sinx/cosx
which simplifies to:
coty - tanx