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AleksAgata [21]
3 years ago
11

What system does it represent and what is the solution of this system

Mathematics
1 answer:
kicyunya [14]3 years ago
6 0

We can see that the lines intersect at (-5,3) on the graph, so that eliminates choices B and D. Both A and C say that the first line is y=x+8, which is true. A says that the second line is y+x=-2, and after isolating y, we get y=-x+2, which seems correct. Do the same for C, and you will find that it says the other equation is y=x-2, which is not true because it must have a negative slope. So your answer will be choice A.

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If T(x, y) = (x + 5, y + 6) and Pris the image of P, what is the rule for the translation in which P is the image of P'? T(x, y)
xxTIMURxx [149]

Answer:

The translation is;

T(x,y)=(x-5,y-6)

Explanation:

Given the translation rule;

T(x,y)=(x+5,y+6)

when P' is the image of P.

For the inverse, when P is the image of P', the Translation rule would become;

\begin{gathered} x=x^{\prime}+5 \\ x^{\prime}=x-5 \\ y=y^{\prime}+6 \\ y^{\prime}=y-6 \\ So,\text{ the translation rule becomes;} \\ T(x,y)=(x-5,y-6) \end{gathered}

The translation is;

T(x,y)=(x-5,y-6)

3 0
1 year ago
1 The metal used to make a coin is a mixture of steel and copper. The ratio mass of steel
Masteriza [31]

\huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}

Let,

  • Mass of the steel be 108x
  • Mass of the copper be 7x
  • Then, Total mass = 108x + 7x = 115x

Given,

  • Total mass of the coin = 230 mg

That means,

⇛ Total mass of the coin = 230 mg

⇛ 115x = 230 mg

⇛ x = 230 mg/115

⇛ x = 2 mg

Then,

  • Mass of the steel = 108(2) = 216 mg
  • Mass of the copper = 7(2) = 14 mg

☁️ ANSWER - 14 mg (Mass of copper)

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7 0
3 years ago
Solve for b. (g+l)b=n
denis23 [38]

Answer:

         n

b = ---------

      (g+l)

Step-by-step explanation:

We need to isolate b.  Starting from (g+l)b=n, we divide both sides by (g+l), obtaining

         n

b = ---------

      (g+l)

7 0
3 years ago
How many solutions does the system have? \begin{cases} 3x+y=8 \\\\ 2x+2y=8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 3x+y=8 2x+2y=8 ​ Choose 1
ELEN [110]

Answer:

This system has one solution (x=2 and y=2), then the answer is A.

Step-by-step explanation:

The system of equations is:

3x+y=8 (1)

2x+2y=8 (2)

Let's multiply the first equation by 2 and subtract it to the second equation  

6x-2x+2y-2y=16-8

4x=8  

x=2

Using this value in (1) we can find y.

3(2)+y=8

6+y=8

y=2

Therefore, this system has one solution (x=2 and y=2), the answer is A.

I hope it helps you!

3 0
3 years ago
X-45=8(2x+3)-18 what are the first steps to solving this equation
Mamont248 [21]

Step-by-step explanation:

step one Distribute

x−45=8(2x+3)−18

x−45=16x+24−18

step two Subtract the numbers

x−45=16x+24−18

x−45=16x+24−18

3 0
3 years ago
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