Answer:

<h2>-19 is the right answer.</h2>
Answer:
2(4x + 1)(x + 1)
Step-by-step explanation:
Given
8x² + 10x + 2 ← factor out 2 from each term
= 2(4x² + 5x + 1)
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × 1 = 4 and sum = + 5
The factors are + 1 and + 4
Use these factors to split the x - term
4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )
= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)
= (4x + 1)(x + 1), thus
4x² + 5x + 1 = (4x + 1)(x + 1) and
8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form
Answer:
Length = 9 cm
Width = 21 cm
Step-by-step explanation:
Length = x
Width = x + 12
Perimeter = 60 cm
2 * ( length + width ) = 60
2 * (x + x +12) = 60
2x + 12 = 60/2 = 30
2x = 30 - 12 = 18
x = 18/2 = 9
Length = 9 cm
Width = 9 + 12 = 21 cm
Answer:
a. 
b. 
Step-by-step explanation:
The given point is
.
We want to find the image after this point has been reflected in the line
.
Recall that, the mapping for a reflection in the line
is
.
This implies that,
.
This simplifies to,
.
This will finally give us,
.
b. We now apply the second reflection, which is a reflection in the line
.
Recall again that, the reflection in the line
has the mapping
.
This implies that,
.
This implies that,
.
This will finally give us,
.
See graph in attachment.
Step-by-step explanation:
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