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oksano4ka [1.4K]
3 years ago
9

Fiona wrote the linear equation y = x – 5. When Henry wrote his equation, they discovered that his equation had all the same sol

utions as Fiona’s. Which equation could be Henry’s?
Mathematics
2 answers:
Oliga [24]3 years ago
7 0
His equation could be written in quadratic form, which is ax^2+bx=c                     


AVprozaik [17]3 years ago
6 0

Answer with Step-by-step explanation:

Fiona wrote the linear equation y = x – 5.

Henry wrote his equation, they discovered that his equation had all the same solutions as Fiona’s.

Henry's equation could be any equation which is a constant multiple of Fiona's equation.

i.e. it could be

2y=2(x-5)

i.e. 2y=2x-10

Hence, Henry's equation could be:

2y=2x-10

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Somebody please help me with my homework it do tomorrow!!!
xxTIMURxx [149]

The solution to given system of equations is (x, y) = (2, -1)

<em><u>Solution:</u></em>

Given system of equations are:

-1x + 2y = -4  -------- eqn 1

4x + 3y = 5 ------- eqn 2

We can solve the above system of equations by elimination method

<em><u>Multiply eqn 1 by 4</u></em>

4(-1x + 2y = -4)

-4x + 8y = -16  ------ eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4x + 3y = 5

-4x + 8y = -16

( + ) --------------------

0x + 11y = -16 + 5

11y = -11

y = -1

<em><u>Substitute y = -1 in eqn 1</u></em>

-1x + 2(-1) = -4

-x -2 = -4

-x = -4 + 2

-x = -2

x = 2

<em><u>Check the answer:</u></em>

Substitute x = 2 and y = -1 in eqn 2

4x + 3y = 5

4(2) + 3(-1) = 5

8 - 3 = 5

5 = 5

Thus the obtained answer is correct

Thus the solution to given system of equations is (x, y) = (2, -1)

8 0
3 years ago
a)express x^2+12x+11 in the form (x+p)^2+q b)A curve has equation y=x^2+12x+11. What are the co-ordinates of the turning point o
sveticcg [70]

a) (x+6)^2-25

b) (-6, -25)

Step-by-step explanation:

Perfect square trinomial! If you have 12x, divide by two and get 6, so we have (x+6)^2+q. Then solve for q. You get q as -25.

For b, we just take the vertex from vertex form. We get x+6=0 so x=-6, and q = -25, so the answer is (-6, -25).

Hope that helped,

-sirswagger21

4 0
3 years ago
DUE SOON PLZ HELP BRO
Daniel [21]
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6 0
3 years ago
Read 2 more answers
Need help plz help for math class
erica [24]

-8/27

Step-by-step explanation:

Just multiply this fraction by itself 3 times and you will get the answer then simplify.

8 0
3 years ago
NEED THE ANSWER ASAP PLEASE
Juliette [100K]
The answer is y=1x+7
1 4
4 0
3 years ago
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