Answer:
x² + 13x + 42 = 0
Step-by-step explanation:
(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42
Answer:
Prime: x^2 + 17x - 30.
Difference of 2 squares: 256x^4 - 49x^2.
GCF: 4x^2 - 24x + 144.
Perfect Square trinomial: 4a^6 - 28a^3 + 49
Factoring Trinomial: b^2 + 5b - 36.
Step-by-step explanation:
1. x^2 + 17x - 30 will not factor.
2. 256x^4 - 49x^2 = (16x^2 + 7x)(16x^2 - 7x)
3. 4x^2 - 24x + 144 = 4(x^2 - 6x + 36).
4. 4a^6 - 28a^3 + 49 = (2a^3 - 7)^2.
5. b^2 + 5b - 36 = (b + 9)(b - 4).
Answer: The length is 12 feet and the width is 4 feet.
Step-by-step explanation:
Let L represent the length of the bedroom closet.
Let W represent the width of the bedroom closet..
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the bedroom closet is 32 ft. This means that
2(L + W) = 32
Dividing through by 2, it becomes
L + W = 32/2
L + W = 16
The area of the bedroom closet is 48 ft². This means that
LW = 48 - - - - - - - -- - - - - - 1
Substituting L = 16 - W into equation 1, it becomes
W(16 - W) = 48
16W - W² = 48
W² - 16W + 48 = 0
W² - 12W - 4W + 48 = 0
W(W - 12) - 4(W - 12) = 0
W - 12 = 0 or W - 4 = 0
W = 12 or W = 4
L = 16 - 4 = 12
Answer:
pay rate £7.80
Step-by-step explanation:
28860 divide by 37 = 780
780 divided by 100 = 7.80
Answer: It is said to be an obtuse angle.
Step-by-step explanation:
Angles under 90 degrees are called acute angles.
Angles that are equivalent with 90 degrees are right angles.
Angles that measure more than 90 degrees but under 180 degrees are called obtuse.
Angle that have the same measure as 180 degrees are straight angle.
