Answer:
- 11 or - 15
Step-by-step explanation:
Factorise
x² - 13x + 42
Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)
The factors are - 6 and - 7, since
- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus
x² - 13x + 42 = (x - 6)(x - 7)
compare to (x + A)(x + B)
A = - 6, B = - 7
thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11
The factors may also be expressed as (x - 7)(x - 6)
with A = - 7 and B = - 6, then
3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15
1,2,3,5,6,10,15,30 because by looking at the number at the ones place, when it is 0 or an odd number, it could be divided by 2. When the places are added together and when it is divisible by 3, it is the factor of 3. Also, when there are 2 and 3 as a factor, it is also divisible by 6.
Answer:
∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
△LMN is the result of a reflection of △XYZ which means △LMN is the mirror image △XYZ
hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN
Hence, ∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
Vamos resolver sua equação passo a passo.
10-7c=10+2(3-5c)
Etapa 1: simplifique os dois lados da equação.
10-7c=10+2(3-5c)
10+-7c=10+(2)(3)+(2)(-5c)(Distribuir)
10+-7c=10+6+-10c
-7c+10=(-10c)+(10+6)(Combine os termos semelhantes)
-7c+10=-10c+16
-7c+10=-10c+16
Etapa 2: adicione 10c a ambos os lados.
-7c+10+10c=-10c+16+10c
3c+10=16
Etapa 3: subtraia 10 de ambos os lados.
3c+10-10=16-10
3c=6
Etapa 4: divida os dois lados por três.
3c
3
=
6
3
c=2
