Answer:
(x - 3)(2x + 7)
Step-by-step explanation:
Assuming you require the expression factorised.
Given
2x² + x - 21
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 21 = - 42 and sum = + 1
The factors are - 6 and + 7
Use these factors to split the x- term
2x² - 6x + 7x - 21 ( factor the first/second and third/fourth terms )
= 2x( x - 3) + 7(x - 3) ← factor out (x - 3) from each term
= (x - 3)(2x + 7) ← in factored form
21)
PT = TQ
Given PT = 4x - 6 and TQ = 3x + 4
so
4x - 6 = 3x + 4
Subtract 3x from both sides
4x - 6 - 3x = 3x + 4 - 3x
Simplifying
x - 6 = 4
Add 6 to both sides
x - 6 + 6 = 4 + 6
Simplifying
x = 10
PT = 4(10) - 6 = 40 - 6
PT = 34
Answer
PT = 34
Answer:
Mapping congruent triangles
mis the midpoint of ad.
what single transformation is required to map one of
these congruent triangles onto the other?
reflection
o rotation
o translation
o dilation
27
) intro
✓ done
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