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Anvisha [2.4K]
3 years ago
13

Ill give brainliest

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

First, make sure that all the variables are in one side. The first equation is gonna be x-y=3

Second, we are going to eliminate the y because it is much easier, but you can also eliminate the x

We have to add both equation because the y in the first equation is negative and in the second equation it’s positive.

We are left with 3x=9

Therefore, x=3

Last, substitute x= 3 in one of the equations

Y=6

P.O.I is (3,6)

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Complete the square for 5x^2+10x-16.<br> first one to answer gets brainiest
ella [17]

Answer: x= -1 <u>+</u> √(21/5)

Step-by-step explanation:

The given equation can be written as 5x^2+10x-16=0

keep the x terms on one side and constant on another side

5x^2+ 10x = 16.

Now, to make a complete square like (x+a)^2 = x^2+2xa+a^2.

Divide the given equation by 5 on both sides,

The equation now becomes x^2+2x = 16/5.

The middle term is 2xa=2x

By solving for term "a" in above equation, a= 1

The entire equation of complete square should be x^2+2x+1, which is equal to (x+1)^2

Here, in the equation given in question, +1 is missing to make a complete square.

In order to add 1 we have to simultaneously minus 1 to keep the values in the equation unchanged.

Thus, x^2+2x+1-1 =16/5.

Again moving the constant -1 to other side, we have

x^2+2x+1 =16/5+1

After simplification,

(x+1)^2= 21/5

Taking square root on both sides,

(x+1)= <u>+</u> √(21/5)

The answer is x= -1 <u>+</u> √(21/5)

5 0
3 years ago
Write an equation of the line passes through the given points (6,-3),(1,2)
adoni [48]

Answer:

y = -x+3

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

    = ( 2 - -3)/( 1 - 6)

   ( 2+3)/( 1-6)

   5/ -5

   -1

The slope is -1

We can use slope intercept form

y = mx+b  where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation

2 = -1 +b

Add 1 to each side

2+1 = -1+1+b

3 = b

y = -x+3

6 0
3 years ago
Read 2 more answers
Hannah is three less than double Isabelle's age.<br> Their combined age is 24. How old is Hannah?
Reptile [31]

Answer:

9

Step-by-step explanation:

24 divided by 2

12-3

9

6 0
3 years ago
In a wildlife preserve, a random sample of the population of 150 raccoons was caught and weighed. The results, given in pounds,
Grace [21]

Answer:

Jeans statement is reasonable because the median value of the data is 26 pounds

Step-by-step explanation:

3 0
3 years ago
I need help with those questions please help me.
Goshia [24]

Answer:

1 = 21 m

2 = 120 cm

3 = 84 cm

4 = 3 km

5 = 10 m

6 = 55 mm

7 = 60 cm

8 = 500 mm

Step-by-step explanation: you see where it says "perimeter = 3s" right? for each question you have to replace "s" with the number given so for the first one it would be 3 x 7. You had to do the same thing with the others but sometimes we get confused in math :D

8 0
2 years ago
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