Answer:
Option C is correct.
Step-by-step explanation:
We need to multiply the following terms using vertical multiplication method
3x^2-5x+1
x x^2+2x+4
The vertical multiplication is shown in the figure attached.
The result is: 3x^4+x^3+3x^2-18x+4
So, Option C is correct.
Answer:
30 Lower level tickets
17 upper level tickets
Step-by-step explanation:
Let:
Lower level tickets = l
Upper level tickets = u
5l + 9u = 303 - - - (1)
8l + 10u = 410 - - - - - (2)
Multiply (1) by 8 and (2) by 5
40l + 72u = 2424 - - - (3)
40l + 50u = 2050 - - - (4)
Subtract (3) from (4)
22u = 374
u = 374 / 22
u = 17
Put u = 17 in (1)
40l + 72(17) = 2424
40l + 1224 = 2424
40l = 2424 - 1224
40l = 1200
l = 1200 / 40
l = 30
30 Lower level tickets
17 upper level tickets
First, we split the figure into two shapes, a triangle and a trapezoid. First, we know that the length of the base of the right triangle is 2, because in a 30-60-90 triangle, the side next to the 60° is half of the hypotenuse. Then, the length of the height would be 2 times root 3, which is 3.46410161514. Height is 3.46410161514 meters and base is 2 meters. We multiply the base times the height, and we get 6.92820323028 meters squared. This is the area of the triangle. Since we know that the base of the triangle is 2, we can do 5-2 to find the first base of the trapezoid, which is 3. We know that the height is 3.46410161514, the first base is 3, and that the second base is 5, so we plug it into our equation which is base1 + base2 over 2 times the height. We plug it in and get approximately 13.85641. Then we round to the tenths place, and we get 13.86 meters squared of the figure. Brainliest?
Answer:
Step-by-step explanation:
Givens:
m: 2/3 m and 5/6 m
rational numbers: -1 1/6 and - 1 1/3
Combine the givens
2/3 m + 5/6 m Change 2/3 m to something over 6
2/3m = 2*2 m / 3*2
2/3 m = 4 m /6
4m/6 + 5m / 6 = 9 m/6 = 1 1/2 m
<u><em>Result</em></u>: B and D are both incorrect
Now work on the rationals. Change the -1 1/3 into -1 something / 6
Change 1/3 into something over 6
-1 1/6 - 1 1/3 change - 1 1/3 = -1 2*1 /3*2
-1 1/6 - 1 2/6
-1 1/6 - 1 2/6 = 2 (1 + 2)/6
-1 1/2
Answer: C
The length of the segment ac is 10.3 cm
<h3>How to determine the length ac?</h3>
The segments are given s:
ab = 7.8cm
bc = 25mm
Point b is located between points a and c.
So, we have:
ac = ab + bc
Substitute known values
ac = 7.8cm + 25mm
Express mm a cm
ac = 7.8cm + 2.5cm
Evaluate the sum
ac = 10.3 cm
If the point b lies on segment ac, then there can be only one solution
Read more about line segment at:
brainly.com/question/2437195
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