Sketch the graph of the equation 3(y - 5) = 6 (x + 1)

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Graph answer:
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Algebra 1 help please!

Vsevolod [243]

Answer:

$x=46$ and $y=45$

Step-by-step explanation:

To solve this, you must set up a system of equations. The first sentence says that there are two numbers and that their sum is 91, so your first equation is $x+y=91$ . For the next equation, it says that the difference of those same numbers is 1, which means that the equation is $x-y=1$ . Now, putting those two together for the system of equations, it's easiest to add them. The result will be $2x=92$ which when simplified gives you the value of x. Taking the value of x, you can substitute in the second equation to find the value of y.

Hope this helped!

7 0

3 years ago

The triangle shown is a right triangle. Create the equation to be used to find the missing lengths.

telo118 [61]

The equation used to find the missing lengths:
9 = __SR (5^2 + x^2)__
As long as it is a right triangle, this is called the Pythagorean Theorem
${9}^{2} = {x}^{2} + {5}^{2} \\ \sqrt{ {9}^{2} } = \sqrt{( {x}^{2} + {5}^{2} )} \\ 9= \sqrt{( {x}^{2} + {5}^{2} )}$

** FYI- if you wanted to SOLVE FOR THE MISSING SIDE X, then just switch around the original equation solving in terms of x:
${9}^{2} = {x}^{2} + {5}^{2} \\ {x}^{2} = {9}^{2} - {5}^{2} \\ x= \sqrt{( {9}^{2} - {5}^{2})} = \sqrt{(81 - 25)} \\$
$x = \sqrt{56} = \sqrt{(8 \times 7)} \\ x= \sqrt{(4 \times 14)} = \sqrt{4}\times \sqrt{14} \\ x = 2 \sqrt{14}$

6 0

4 years ago

The area of a room is 234 square feet the length of the room is 18 feet what is the width in feet of the room

tester [92]

Answer:

The width of the room is $13\ ft$