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lianna [129]
3 years ago
6

A system of equations is shown below: x + y = 3 2x − y = 6 The x-coordinate of the solution to this system of equations is . (1

point)
Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

x = 3

Step-by-step explanation:

x + y = 3

2x- y = 6

Get the first equation and solve for y

        y = 3-x

Now plug in into the 2nd equation

2x - 3 + x = 6

3x = 9

x = 3

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Heres another math problem
MrRissso [65]

Answer:

\therefore x=50\°

Step-by-step explanation:

Let the angle between 2x and 150° be = b°

150\°+b\°=180\° [ Forming a linear pair of angles]

Solving for b by subtracting both sides by 150.

150+b-150=180-150

∴ b=30\°

50\°+2x+b\°=180\°\\ [Angle lying on a straight line add up to 180]

Plugging in b=30\°

50+2x+30=180\\2x+80=180

Solving for x by

subtracting both sides by 80.

2x+80-80=180-80\\2x=100

then dividing both sides by 2.

\frac{2x}{2}=\frac{100}{2}\\\\\therefore x=50\°

4 0
3 years ago
Read 2 more answers
Adding multiples tens and some ones 43+12=
DochEvi [55]
55 if it's just addition
4 0
3 years ago
The product of 4 and a number ,increased by 22 is 146. What is the number ?
maks197457 [2]
Not absolutely sure I understand the question, but should be 120
7 0
3 years ago
What is the diameter of this circle? A) 2 cm B) 3.14 cm C) 4 cm D) 8 cm
Verizon [17]

Answer:

The answer is c

Step-by-step explanation:

Well, since the Circle is 8cm you can divide the circle by two to get 4

5 0
3 years ago
Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to
Anettt [7]

Answer:

correct option is 2187

Total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by 2\pi rl

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12

Thus,  lateral surface area for given cylinder is  1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle \pi r^2

area \ of  \base = \pi r^2 = 3.14*12^2\\=>area \ of  \base =  3.14*144 = 452.16

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

                                      = 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

                  = 2,185.44  square inches.

Thus, total surface area is  2,185.44  square inches.

lateral surface area is  640.56 square inches

but option which is closest to calculated value is  2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = 2\pi r^2 + 2\pi rl

5 0
3 years ago
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