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Elenna [48]
3 years ago
12

Graph the system of equations on your graph paper to answer the question. {y=x−4y=−x+6 What is the solution for this system of e

quations? Enter your answer in the boxes.

Mathematics
2 answers:
arsen [322]3 years ago
4 0

Answer:

(5,1)

Step-by-step explanation:

Given :

y=x-4\\y=-x+6

Solution :

Equation 1 : y=x-4

Equation 2 : y = -x+6

We will use substitution method

Putting the value of y from equation 1 in equation 2

⇒x-4 = -x+6

⇒x+x= 6+4

⇒2x=10

⇒x=\frac{10}{2}

⇒x=5

Now substituting value of x in equation 1 to get value of y

⇒y=x-4

⇒y=5-4

⇒y=1

Thus the solution of given system of equations is (5,1)

We have also solved it by graphing the equations

You can refer the attached figure.


PolarNik [594]3 years ago
3 0
I think (5,1) but Idk tho
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Mariulka [41]

Answer:

Part 1)  x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})

Part 2)  x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

Part 1)

in this problem we have

x^{2} -2x-2=0

so

a=1\\b=-2\\c=-2

substitute in the formula

x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-2)}} {2(1)}\\\\x=\frac{2(+/-)\sqrt{12}} {2}\\\\x=\frac{2(+/-)2\sqrt{3}} {2}\\\\x_1=\frac{2(+)2\sqrt{3}} {2}=1+\sqrt{3}\\\\x_2=\frac{2(-)2\sqrt{3}} {2}=1-\sqrt{3}

therefore

x^{2} -2x-2=(x-(1+\sqrt{3}))(x-(1-\sqrt{3}))

x^{2} -2x-2=(x-1-\sqrt{3})(x-1+\sqrt{3})

Part 2)

in this problem we have

x^{2} -6x+4=0

so

a=1\\b=-6\\c=4

substitute in the formula

x=\frac{-(-6)(+/-)\sqrt{-6^{2}-4(1)(4)}} {2(1)}

x=\frac{6(+/-)\sqrt{20}} {2}

x=\frac{6(+/-)2\sqrt{5}} {2}

x_1=\frac{6(+)2\sqrt{5}}{2}=3+\sqrt{5}

x_2=\frac{6(-)2\sqrt{5}}{2}=3-\sqrt{5}

therefore

x^{2} -6x+4=(x-(3+\sqrt{5}))(x-(3-\sqrt{5}))

x^{2} -6x+4=(x-3-\sqrt{5})(x-3+\sqrt{5})

5 0
4 years ago
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SVETLANKA909090 [29]

Alright, so the equation we have here is 22.75x+32=128.69

Now we just solve

-32 on both sides, we get

22.75x=96.69

divide by 22.75 on both sides we get

x=4.2501989

So 4 hours

You add the 4.25 hours

10, 11, 12, 1 is the hour

And .25 is a fourth, and a fourth of 60 minutes is 15 minutes

So he left at 1:15 pm

3 0
4 years ago
If BD = 7x – 10, BC = 4x – 29, and CD = 5x – 9, find each value.
DerKrebs [107]
BD=7x-10
Answer: x=bd/7 + 10/7

BC=4x-29
Answer: x=Bc/4 + 29/4

CD=5x - 9
Answer: x= cd/5 + 9/5
4 0
3 years ago
Write the slope intercept form of the equation of the line
lidiya [134]

Answer:

The answer is c

Step-by-step explanation:

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6 0
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Camille has a collection of 61 nickels and quarters worth $6.85. How many of each coin does she have?
marin [14]

Answer:

17 nickels and 24 quaters

Step-by-step explanation:

0.85÷5=17

6.00÷0.25=24

7 0
3 years ago
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