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Sati [7]
1 year ago
14

12x+10y=2

Mathematics
1 answer:
iris [78.8K]1 year ago
8 0

Answer:

Elimination would be a better method for solving the system.

<h3>Given equation </h3>
  • \sf12x+10y=2
  • \sf-x+4y= -5
<h3>Solution :-</h3>

\Rrightarrow \sf12x+10y=2

\Rrightarrow \sf6x+5y=1.......(i)

\sf\Rrightarrow-x+4y= -5 ............(ii)

\large \sf \red{ \blue{[ (ii)×6]}}

\sf\Rrightarrow-6x+24y= -30 ............(iii)

\large \sf \red{(i) +  \blue{ (iii)}}

\Rrightarrow \small\sf6x+5y=1+(-6x+24y= -30)

\Rrightarrow \sf29y =  - 29 \\

\Rrightarrow  \blue{\sf \: y =  - 1}

putting the value in equation (i)

\Rrightarrow \sf6x+5 \times  - 1=1

\Rrightarrow \sf6x - 5=1

\Rrightarrow \sf6x = 6

\Rrightarrow  \red{\sf \: x = 1}

\overline{\underline{\rule{209pt}{2pt}}}

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Please help and show work<br>​
Sunny_sXe [5.5K]

Answer:

Just do scan and solve by brainly really helpful ngl

Step-by-step explanation:

5 0
2 years ago
Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
Can someone explained what i am supposed to do in this picture.
FinnZ [79.3K]
Well i think you are suppose to explain how OR WHAT THE CHANGE IN DECREASE Is.
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7 0
3 years ago
Read 2 more answers
Triangle ABC has vertices at A(-5, 4), B(4, 1), and C(1, -8). Choose the terms below which correctly describe this triangle:
Anton [14]

Answer:

An ISOSCELES TRIANGLE

Step-by-step explanation:

Given a triangle ABC with vertices at A(-5, 4), B(4, 1), and C(1, -8), to know the type of triangle this is, we need to find the three sides of the triangles by taking the distance between the points.

Distance between two points is expressed as:

D = √(x2-x1)²+(y2-y1)²

For side |AB|:

A(-5, 4) and B(4, 1)

|AB| = √(4-(-5))²+(1-4)²

|AB| = √9²+3²

|AB| = √90

For side |BC|

B(4, 1), and C(1, -8)

|BC| =√(1-4)²+(-8-1)²

|BC| = √3²+9²

|BC| = √90

For side |AC|:

A(-5, 4) and C(1, -8).

|AC| = √(1-(-5))²+(-8-4)²

|AC| = √6²+12²

|AC| = √36+144

|AC| = √180

Based on the distances, it is seen that side AB and BC are equal which shows that two sides of the triangle are equal. A triangle that has two of its sides to be equal is known as an ISOSCELES TRIANGLE. Therefore the term that correctly describes the triangle is an isosceles triangle.

3 0
3 years ago
James is hosting a game show where a contestant has to draw a ball that is one of four colors from a pot. Each day, a ball of a
Rashid [163]
Let the number of red, black, green and blue balls be R, B, G, U respectively.

B=R  (There are as many black balls as red balls)

G+R=10 so G=10-R (Green balls and red balls should add up to 10)

R+10=U (There should be 10 more blue balls than red balls)

The minimal number of balls is 2, 304 so we have the following inequality:

R+B+G+U≥ 2,304

R+(R)+(10-R)+ (R+10)≥2,304

4R≥2,304

R≥2,304/4=576 so R=576


Answer: 576 
4 0
3 years ago
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