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Verdich [7]
4 years ago
14

Factor 12t2 + 70t + 72 completely

Mathematics
1 answer:
laila [671]4 years ago
6 0

It would be (C) 2(3t+4)(2t+9)

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PLEAS EHELP I DONT UNDERSTAND
ioda

Answer:

9.425

Step-by-step explanation:

first find the total length of a circle with the radius being 2cm

which u will obtain 12.566

not forget that in  circle 90 degrees =1/4

so u will find 1/4 of 12.566 which= 3.141

then subtract 3.141 from 12.566

=9.425

6 0
3 years ago
I DONT KNOW THESE! HELP!
kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

2y+18=3x-1\\ \\6x-3=17-5y

Solve this system of two equations:

\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.

Multiply the first equation by 2 and add two equations:

2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2

Substitute it into the first equation:

2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5

21. Opposite angles in the parallelogram are congruent, so

11x+5=10y+6

Consecutive angles are supplementary, so

6x-y+11x+5=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.

From the second equation

y=17x-175

Substitute it into the first equation:

11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12

22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

Substitute it into the second equation:

3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22

23. Opposite sides in the parallelogram are congruent, so

2x+9=4y-9\\ \\3x-5=2y+8

Solve this system of two equations:

\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

Multiply the second equation by 2 and subtract it from the first equation:

2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11

Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

3 0
3 years ago
4 pizzas cost £15. Work out the cost of 5 pizzas.​
nadezda [96]
We can divide 15 by 4. This gives us 3.75. This means that each pizza costs $3.75. I can now multiply 3.75 by 5.

3.75(5) = 18.75

5 pizzas cost $18.75.
8 0
2 years ago
Read 2 more answers
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa
Minchanka [31]
Lets do this:-

A. 7 Sandwiches

18 - 7 = 11

7 × $7.75 =  $54.25
7 sandwiches cost $54.25.

11 × $4.50 = $49.50
11 soups costs $49.50

49.50 + 54.25 = 103.75
A is not d answer cuz d total of d lunches came to $113.50. 

B. 8 sandwiches

18 - 8 = 10

8 × $7.75 =  $62
8 sandwiches cost $62.

10 × $4.50 = 45
8 soups costs $45

62 + 45 = 107

B is not d answer cuz d total of d lunches came to $113.50. 

C. 9 Sandwiches.

18 - 9 =  9

9 × $7.75 = 69.75
9 sandwiches cost $69.

9 × $4.50 = 40.50
9 soups costs $40.50

69 + 40.50 = 109.5

C is not d answer cuz d total of d lunches came to $113.50. 

D. 10 Sandwiches

18 - 10 = 8

10 × $7.75 = $77.75
10 sandwiches cost $77.75.

8 × $4.50 = $36
8 soups costs $36.

77.75 + 36 = <span>113.75

</span>D is not d answer cuz d total of d lunches came to $113.50. 

So, based on your answer choices there is no correct choice. <span />
7 0
3 years ago
Michael bought a stereo on sale for 20% off the regular price. the regular price of the stereo was $180. what was the sale price
Katarina [22]
20% = 1/5 th
180/5=36
180-36=144 dollars
3 0
4 years ago
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