We use the law of correspondence that is
Hypotenuse = Hypotenuse Leg = Leg

3y + x = y + 5
and
y - x = x + 5 --------------------------------- work on your first problem to find x
x = -2y + 5
now you can plug this in to your second equation to sub in for the x
y - ( -2y + 5 ) = ( -2y + 5 ) + 5 y + 2y - 5 = -2y + 10 3y - 5 = -2y + 10 5y = 15 y = 3
Now you can plug back in to solve for x

3y + x = y + 5 3(3) + x = (3) + 5 9 + x = 8 x = -1
so y = 3 and x = -1

4 0

4 years ago

A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area o

enyata [817]

45 square feet is the area of the base of the pedestal.

what is rectangular prism?

A rectangular prism is a 3D figure with 6 rectangular faces.
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

we know that

The volume of the pedestal (rectangular prism) is given by the formula

V = B × h

where

B is the area of the rectangular base of pedestal

V = 405 ft³

h = 9 ft

put the given values in the formula and solve for B

405 = B × 9

B = 405/9

B = 45 ft²

Therefore, 45 square feet is the area of the base of the pedestal.

Learn more about rectangular prism

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3 0

2 years ago

The graph of y=3x^2-3x-1 is shown. Use the graph to find estimates for the solutions of i)3x^2-3x+2=2 ii) 3x^2-3x-1=x+1

AlexFokin [52]

Answer:

i) (0, 2) and (1, 2), ii) (0.333, 1.333) and (1, 2).

Step-by-step explanation:

i) Let be $y=3\cdot x^{2}-3\cdot x -1$ , if $3\cdot x^{2}-3\cdot x +2 = 2$ , which is equivalent to the following system of equations:

$y = 3\cdot x^{2}-3\cdot x +2$

$y = 2$

Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0, 2) and (1, 2)

ii) Let be $y=3\cdot x^{2}-3\cdot x -1$ , if $3\cdot x^{2}-3\cdot x +2 = x+1$ , which is equivalent to the following system of equations:

$y = 3\cdot x^{2}-3\cdot x +2$

$y = x+1$

Now, this system is now represented by means of a graphing tool and whose outcome is attached below. There are two solutions: (0.333, 1.333) and (1, 2)

7 0

4 years ago

Find the HCF of 18 and 24​

Find the HCF of 18 and 24