Answer:
7x^2 −12x−10
Step-by-step explanation:
((5x2 - 8x) + 1) + (2x2 - 4x - 11)
Factoring 7x2-12x-10
The first term is, 7x2 its coefficient is 7 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is -10
Step-1 : Multiply the coefficient of the first term by the constant 7 • -10 = -70
Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term, which is -12 .
-70 + 1 = -69
-35 + 2 = -33
-14 + 5 = -9
-10 + 7 = -3
-7 + 10 = 3
-5 + 14 = 9
-2 + 35 = 33
-1 + 70 = 69
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Answer:
22.14
Step-by-step explanation:
Using the Pythagorean Theorem:
a^2 + b^2 = c^2
21^2 + 7^2 = c^2
441 + 49 = c^2
490 = c^2 (square root both sides so c^2 becomes c)
c = 22.13594363 (round to hundredths)
c = 22.14
It would be A and D! hope this helps
Answer:
Gino should add $49.74 tip to the bill.
Step-by-step explanation:
20% / 100 = 0.2
0.2 x $248.70 = $49.74
Answer:
The angle it turns through if it sweeps an area of 48 cm² is 448.8°
Step-by-step explanation:
If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it sweeps an area of 48 cm, we will follow the steps below;
area of a sector = Ф/360 × πr²
where Ф is the angle, r is the radius π is a constant
from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5
Ф =? area of the sector= 48 cm² π =
we can now go ahead to substitute the values into the formula and solve Ф
area of a sector = Ф/360 × πr²
48 = Ф/360 × × (3.5)²
48 = Ф/360 × ×12.25
48 = 269.5Ф / 2520
multiply both-side of the equation by 2520
48×2520 = 269.5Ф
120960 = 269.5Ф
divide both-side of the equation by 269.5
448.8≈Ф
Ф = 448.8°
The angle it turns through if it sweeps an area of 48 cm² is 448.8°