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rewona [7]
3 years ago
11

Solve the following system of equations by using the provided grid: y= -x + 3, y = 3/2x - 2

Mathematics
1 answer:
GenaCL600 [577]3 years ago
4 0
Y = -x + 3
y = 3/2x - 2

-x + 3 = 3/2x - 2....multiply everything by 2 to get rid of the fraction
-2x + 6 = 3x - 4
-2x - 3x = -4 - 6
-5x = -10
x = -10/-5
x = 2

y = -x + 3
y = -2 + 3
y = 1

solution is (2,1)
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The legs of a right triangle measure 8 inches and 12 inches.What is the area of the triangle?
olga_2 [115]

Answer:

The area of the triangle is 48 in².

Step-by-step explanation:

A right triangle is a triangle formed when to legs come together to make a 90° angle.  The 'legs' of the triangle can also be called referred to the base and the height of the triangle.  The general formula for the area of a triangle is:  

A = \frac{1}{2}b*h, where b = base and h = height

In this case, the leg measures are given as 8 inches and 12 inches, so we can put these values into our formula to solve for area:  

A = \frac{1}{2}(8)(12) = 48


5 0
3 years ago
What is the vertex of f(x) = 3(x+2)^2 -1
inna [77]

Answer:

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3 years ago
Find the point of intersection algebraically for the system of equations. Make sure to write your answer as an ordered pair.
Vsevolod [243]

Answer:

Step-by-step explanation:

hello :

1) the system is : y=5x+4

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so :5x+4 =2x+1

5x-2x=1-4

3x= -3      so : x= -1     but y =2x+1 put x=-1 you have : y =-1

the solution : (x,y) =( -1, -1)

2)  the system  is :     x + y = 4                                    

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means :   y = - x+4    (line red)

               y= 4x-1     (line blue)  

graficly : intrsection is : (x,y) =(1 ,3 )

4 0
3 years ago
pA submarine submerged at a depth of -35.25 meters dives an additional 8.5 meters. What is the new depth of the submarine?
finlep [7]
-43.75. -35.25 minus 8.5 is -43.75
5 0
3 years ago
HELPPP!! PLS!!! ❤❤ ​
VashaNatasha [74]

Answer:

The first five belong in the left most group of 1/6 =  1/3÷2

The sixth (right) one belongs in the middle group of 1/9 = 1/3÷3

Step-by-step explanation:

5 0
3 years ago
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