Answer:
the answer is 9565940
Step-by-step explanation:
Answer:
(5x-1)(3x+2)
(if you don't want to do all of this you can use
Step-by-step explanation:
((3•5x2) + 7x) - 2
Factoring 15x2+7x-2
The first term is, 15x2 its coefficient is 15 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 15 • -2 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 7 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 10
15x2 - 3x + 10x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (5x-1)
Add up the last 2 terms, pulling out common factors :
2 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (5x-1)
Which is the desired factorization
Answer:
see the explanation
Step-by-step explanation:
we have triangle ΔABC
step 1
Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'
Remember that
A rotation is a rigid transformation
An object and its rotation are the same shape and size, but the figures may be turned in different directions
so
ΔABC and ΔA'B'C' are congruent
ΔABC≅ ΔA'B'C
step 2
Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF
Remember that
A dilation is a non rigid transformation
A dilation produces similar figures
If two figures are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent
Find the scale factor of the dilation
The scale factor is equal to the ratio of corresponding sides
In this problem
Let
z ----> the scale factor
so

Multiply the length sides of triangle ΔA'B'C' by the scale factor z to obtain the length sides of triangle ΔEDF
Note: in this problem the scale factor z is less than 1
That means ----> the dilation is a reduction
You wing that and hope you get it right!
Answer:
30
Step-by-step explanation: