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3 years ago

What is the solution to the system of equations

Mathematics

1 answer:

vitfil [10]3 years ago

5 0

Answer:

Step-by-step explanation:

Hello

I believe there is an error in the question

we have two equations and need to find x and y

$(1) \dfrac{1}{4}x+\dfrac{1}{2}y=\dfrac{5}{8}\\(2) \dfrac{3}{4}x-\dfrac{1}{2}y=3\dfrac{3}{8}$

let s multiply by 8 so that we can get rid of the fractions

(1) becomes 2x+4y=5

(2) becomse 6x-4y=9

if we sum it gives

2x+4y+6x-4y=9+5

8x=14

x = 14/8 = 7/4

and then from the first equation

4y = 5 - 7/4

<=> 16y = 20-7 = 13

y = 13/16

the solutions is (7/4,13/16)

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Well I'm having troubles with something I have no idea what it is or how to do it. The problem is x^2 -18x+8=0. I only know how

Lubov Fominskaja [6]

Answer:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

$x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}$

Step-by-step explanation:

We have the following equation:

$x^2 -18 x +8 =0$

We can use the quadratic formula given by:

$x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}$

Where:

$a = 1 , b=-18, c =8$

And replacing we got:

$x = \frac{-(-18) -\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 -2 \sqrt{73}}{2}= 9 -\sqrt{73}$

$x = \frac{-(-18) +\sqrt{(-18)^2 -4*1*8}}{2} = \frac{18 +2 \sqrt{73}}{2}= 9 +\sqrt{73}$

6 0

3 years ago

Some rational numbers are not integers? true or false

MariettaO [177]

The answer is false because every integer is rational. An integer for example,5, can be expressed as 5/1 (which is a rational number)

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3 years ago

If b+c-a/a, c+a-b/CA are in A.P., prove that a, b, c are in<br>Н.Р.

SOVA2 [1]

Answer:I love thee fact that I am a straight a Student but I don't wanna help you dumb people

Step-by-step explanation:

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2 years ago

A baseball diamond has an area of 3,600 ft. square. What is the distance between each base.

snow_lady [41]

Answer:

A diamond is the same thing as a square. So the side lengths are all the same. Multiplied length by width you get area. So square the area (3600) and you get 60 feet side length. The bases are 60 feet away from each other.

SLOVIN

A baseball diamond is just like a square, meaning the area of the baseball diamond can be calculate with: , where s = side, and A = area.

Plug in area value.

Take square root of both sides.

(since 6 x 6 = 36, then 60 x 60 = 3600)

the distance between each base is 60 feet.

4 0

2 years ago

Read 2 more answers

From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is

cestrela7 [59]

Answer: $\frac{15}{56}$

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways selecting 2 two people knowing Geroge will be the third one is

$^6C_2$ (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is $^8C_3$

Therefore the required Probability is $\frac{^6C_{2}}{^8C_{3}}$

= $\frac{15}{56}$

3 0

3 years ago