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3 years ago

Please answer this questions fast

Mathematics

1 answer:

xeze [42]3 years ago

8 0

Answer:

3000 %

Step-by-step explanation:

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The x coordinate of the solution to the system of equations y=x+4 and 3y=-2x+2

Vera_Pavlovna [14]

<h2>Hello!</h2>

The answer is:

The x-coordinate of the solution to the system of equations is:

$x=-2$

We can solve the problem writing both equations as a system of equations.

So, we are given the equations:

$\left \{ {{y=x+4} \atop {3y=-2x+2}} \right.$

Then, solving by reduction we have:

Multiplying the first equation by 2 in order to reduce the variable "x", we have:

$\left \{ {{2y=2x+2*4} \atop {3y=-2x+2}} \right.$

$5y=2x-2x+8+2\\\\5y=8+2\\\\y=\frac{10}{5}=2$

Now, substituting "y" into the first equation, to isolate "x" we have:

$y=x+4\\\\2=x+4\\\\x=2-4=-2$

Hence we have that the x-coordinate of the solution to the system of equations is

$x=-2$

Have a nice day!

3 0

3 years ago

Read 2 more answers

Factorise <br> a) 4p²-81<br> b) x²-13x+36

taurus [48]

Answer:

A = (2p + 9) (2p - 9)

B = (x - 9) (x - 4)

Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

(2p)^2−81

Rewrite 81 as 9^2.

(2p)^2−9^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

(2p + 9) (2p − 9)

For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

-9, -4

(x - 9) (x - 4)

I hope this helps.

7 0

3 years ago

A 2X2 square is centered at the origin. It is dilated by a factor of 3. What are coordinates of the vertices of the square?

Vesna [10]

Answer:

The vertices are:

A' = (-3, -3)

B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

Step-by-step explanation:

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1), B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.

A(-1, -1) = 3(-1, -1) = A'(-3, -3)

B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

7 0

3 years ago

33 1/3% of 360 please help I don’t understand

Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0

2 years ago

Read 2 more answers

Help please!!

IRINA_888 [86]

I think it’s QT EJ and HA

7 0

3 years ago

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Please answer this questions fast​

Please answer this questions fast