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Olegator [25]
3 years ago
13

Find the solution for this system of equations. 2x + 4y = 8 x = 3y − 6

Mathematics
2 answers:
natima [27]3 years ago
6 0

Answer:

{ \tt{2x + 4y = 8 -  -  - (a)}} \\ { \tt{x = 3y - 6 -  -  - (b)}}

Substitute for x in equation (a) :

{ \tt{2(3y - 6) + 4y = 8}} \\ { \tt{6y - 12 + 4y = 8}} \\ { \tt{10y = 20}} \\ y = 2

Substitute for y in equation (b) :

{ \tt{x = (3 \times 2) - 6}} \\ x = 0

alexandr1967 [171]3 years ago
5 0

2x+4y =8

x=3y-6 ——> x–3y=–6

x–3y = – 6 ] ×(–2) ——> –2x +6y=12

2x+4y=8

–2x+6y =12

__o_o____

0+10y=20 —> 10y= 20 —> y= 20/10 —> y= 2

2x+4y=8 —> 2x + 4(2) = 8 —> 2x + 8=8 —> 2x = 0 —> x=0

(x,y) —> (0,2)

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weeeeeb [17]

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *<em>look at the image I attached for a better explanation</em>

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    ?^2+9^2 = 16^2\\?^2 + 81=256\\?^2 = 175\\? = 13.2

Thus the <u>missing side length is 13.2 cm</u>

Hope that helps!

5 0
2 years ago
How many unique ways are there to arrange the letters in the word SONG?
-BARSIC- [3]
24 I believe would be the correct answer.

6 0
3 years ago
Let W be a random variable giving the number of heads minus the number of tails in three tosses of a coin. List the elements of
Levart [38]

Answer:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

S= [-3,-1,1,3]

Just 4 possible values from 8 possible combinations for the 3 random tosses

Step-by-step explanation:

For this case we define W as the random variable who represent the number of heads minus the number of tails in three tosses of a coin.

W= # heads- # coins

Since we toss a coin 3 times we have 2*2*2= 8 possible results. We can list the results and the corresponding values for W like this:

HHH, W = 3-0 = 3

HHT, W= 2-1=1

HTH, W= 2-1=1

THH, W=2-1 =1

HTT, W= 1-2=-1

THT, W= 1-2=-1

TTH, W=1-2=-1

TTT, W=0-3 = -3

So then the sample space for W is:

S= [-3,-1,1,3]

Just 4 possible values from 8 possible combinations for the 3 random tosses

8 0
3 years ago
There are 3 times as many boys as girls. If there are 24 more boys than girls, how many children are there?
Ludmilka [50]

Answer:

There are 48 children.

Step-by-step explanation:

Given :There are 3 times as many boys as girls.

            There are 24 more boys than girls,

To Find : how many children are there?

Solution:

Let the number of girls be x

Now we are given that there are 3 times as many boys as girls.

So, no. of boys = 3x

Now we are given that there are 24 more boys than girls.

So, 3x-x=24

2x=24

x=12

So, no. of girls = 12

No. of boys = 3x = 3(12) = 36

Now the total no. of children = 12+36 = 48

Hence there are 48 children.

6 0
3 years ago
What is the vertex, maximum or minimum, y-intercept, &amp; roots of h(t)= -4.9t^2+14.7t
larisa86 [58]
Vertex; (1.5, 11.025)
maximum; 11.025
y-intercept; (0, 0)
roots; 0, 3

hope this helps, God bless!
3 0
3 years ago
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