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Irina-Kira [14]
3 years ago
13

5. Solve using any method. y = -x + 8 y=x+4

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

<h2>x = 2, y = 6 → (2, 6)</h2>

Step-by-step explanation:

\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8\\y=x+4&\TEXT{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=-x+8\\-y=-x-4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=-2x+4\qquad\text{add}\ 2x\ \text{to both sides}\\.\qquad2x=4\qquad\text{divide both sides by 2}\\.\qquad\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}y=-x+8&(1)\\y=x+4&(2)\end{array}\right\\\\\text{Substitute (1) to (2)}\\\\-x+8=x+4\qquad\text{subtract 8 from both sides}\\-x=x-4\qquad\text{subtract}\ x\ \text{from both sides}\\-x-x=-4\\-2x=-4\qquad\text{divide both sides by (-2)}\\\boxed{x=2}\\\\\text{Put it to the second equation}\\y=2+4\\\boxed{y=6}

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Given the rule, find the 8th term in the arithmetic<br> sequence.<br> an =3n + 4
dybincka [34]

Answer:

You simply substitute 8 for n

A₈ =3(8)+4=28

4 0
2 years ago
3.
Lynna [10]

Answer:

the answer is B {(0,-4),(2,6)(,4,16)

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3 0
3 years ago
PLS HELP The positions of two divers from the water's surface after a dive are shown: Justine: −10 feet Mina: −13 feet Which ine
malfutka [58]

Answer:

Because -13 < 10, so -13 is farther from 0 than 10


8 0
3 years ago
Read 2 more answers
Point a is at (-7,-7) and m is at (-6,-1) what are the coordinates of point b
AlekseyPX

Answer:

The coordinates of point b are (-5,5).

Step-by-step explanation:

Given:

Point a is at (-7,-7) and m is at (-6,-1).

So, to find the coordinates of point b.

Let a (-7,-7) be (x_{1},y_{1}), m (-6,-1) and b (x_{2} ,y_{2}).

Now, putting the formula to get the coordinates:

m=\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}

⇒(-6,-1)=\frac{-7+x_{2}}{2} , \frac{-7+y_{2}}{2}

So, here we will make two equations to find the value of x_{2} andy_{2}:

-6=\frac{-7+x_{2}}{2}

multiplying both sides by 2

⇒-12=-7+x_{2}

⇒-5=x_{2}

And, now same method for getting the value of y_{2}.

-1=\frac{-7+y_{2}}{2}

multiplying both sides by 2

⇒-2=-7+y_{2}

⇒5=y_{2}.

The value of (x_{2} ,y_{2}) = (-5,5).

Therefore, the coordinates of point b are (-5,5).

4 0
3 years ago
Please tell me what y equals please
bagirrra123 [75]

The data cannot be modeled by a linear equation because the rate of change is not constant. This can be seen in the fact that when you increase x from 1 to 2, you subtract 3 from the y-values. However, as you add 2 more, you continue to subtract 3 from the y-values. If the function were a linear function, we would likely subtract 6 from the y-values, since that would form a constant ratio.


You can even look at the fact that as we increased the x by 4, we continued to decrease the y by 3. This does not form a constant ratio, and is thus the data could not be modeled by a linear function.

5 0
3 years ago
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