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erastova [34]
3 years ago
6

Solve the following system of equations: y=x + 2 and y= 2x - 1

Mathematics
2 answers:
lys-0071 [83]3 years ago
5 0

Answer:

hope this pic helps you

likoan [24]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (3, 5)

Step-by-step explanation:

Equate the two expressions for y and solve for x.

  x +2 = 2x -1

  3 = x . . . . . . . . add 1-x

  y = 3 +2 = 5 . . . . using the first equation

The solution is (x, y) = (3, 5).

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Select the four points that appear on the line with the given slope and y-intercept
zysi [14]
I’m pretty sure the Points are B, D, E and F
5 0
3 years ago
A rolling pin has two identical cylindrical handles attached to a larger handle that is 12 inches long. The large cylinder measu
yaroslaw [1]

Answer:

Volume of the rolling pin =  246.09 in^{3}  

Step-by-step explanation:

Length of larger cylinder L = 12 in

Diameter of larger cylinder D = 5 in

Diameter of two handles = 1.5 in

Length of two handles = 3 in

Volume of the rolling pin = Volume of two handles + Volume of larger cylinder

Volume of two handles = 2 (\pi r^{2}L)

Volume of two handles =  2 (3.14 × 0.75^{2} × 3 )

Volume of two handles = 10.59 in^{3}  

Volume of larger cylinder = (\pi r^{2}L)

Volume of larger cylinder = (3.14 × 2.5^{2} × 12 )

Volume of larger cylinder = 235.5 in^{3}  

Volume of the rolling pin =  10.59 + 235.5

Volume of the rolling pin =  246.09 in^{3}  

6 0
3 years ago
you are invited to a family dinner, you decide to make cupcakes for desert for everyone including yourself. while calculating th
Amiraneli [1.4K]
Based on the given description above, and the number of guests that is expected to arrive in the family dinner, The minimum number of cupcakes that you will need to bring so that everybody could get at least one cupcake is 23. You should have at least 23 cupcakes. Hope this is the answer that you are looking for. Thanks for posting!
3 0
3 years ago
Solve using any method. −2x+y=−3 x+y=3 ( 5, 2) ( 1, 2) ( 2, 5) ( 2, 1)
nignag [31]

Answer:

Therefore the solution set is (x , y) = ( 2 , 1 )

Step-by-step explanation:

Given:

-2x+y=-3  ...............Equation ( 1 )

x+y=3\\  ...............Equation ( 2 )

\therefore y=3-x     ...............Equation ( 3 )

To Find:

x = ?

y = ?

Solution:

Using Substitution Method we will have

Substitute  above ' y ' Equation 3 in Equation 1 we get

-2x+(3-x)=-3\\-2x-x=-3-3\\-3x=-6\\3x=6\\x=\dfrac{6}{3}=2\\\\x=2

Now Substitute  ' x ' in Equation 3 we get

y=3-2=1\\y=1

Therefore the solution set is (x , y) = ( 2 , 1 )

5 0
3 years ago
What is the perimeter of the triangle
KengaRu [80]

The perimeter of the triangle is 40 units

<h3>Perimeter of a triangle</h3>

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the<em> Pythagorean theorem </em>

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

Learn more on Calculating perimeter here: brainly.com/question/17394545

#SPJ1

4 0
1 year ago
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