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2 years ago

How many solutions does this system have?

Mathematics

1 answer:

goblinko [34]2 years ago

5 0

A system of equation may have one, zero or infinitely many solutions

The system of equation has no solutions

The systems of equation are given as:

$y = -6x - 5$

$-2y +7 = 12x$

Substitute -6x - 5 for y in $-2y +7 = 12x$

$-2(-6x - 5) +7 = 12x$

Open brackets

$12x + 10 +7 = 12x$

$12x + 17 = 12x$

Subtract 12x from both sides of the equation

$17 = 0$

The above equation is not true i.e. $17 \ne 0$

Hence, the system of equation has no solutions

Read more about solutions of equations at:

brainly.com/question/9338739

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Please Help!!! Will give brainliest

qaws [65]

36 cm^2

Step-by-step explanation:

Small window

Length: 2cm

Width: 2cm

Area: 4 cm^2

Big window

Length: 4cm

Width: 3cm

Area: 12 cm^2

Total area of the windows:

(Area of 4 small windows + area of 1 big window)

(4 cm^2 x 4 + 12cm^2)

= 28 cm^2

Above window (approx.)

Rectangle

Length: 3cm

Width: 2cm

Area: 6 cm^2

Triangle

Base: 1cm

Height: 1cm

Area: 2 x 0.5 cm^2 = 1 cm^2

Square (between the triangles)

Length: 1cm

Width: 1cm

Area: 1 cm^2

= 8 cm^2

TOTAL AREA OF ALL WINDOWS

= AREA OF 4 WINDOWS + AREA OF BIG WINDOW + AREA OF ABOVE WINDOW

= 16 cm^2 + 12 cm^2 + 8 cm^2

I hope I made the explanations clear enough to make it easier for you to understand!

8 0

1 year ago

I need help with this question. can someone please help me

Ahat [919]

-2x + y =3
use 5 number and put it in above equation to find y, I will use -2,-1,0,1,2
x y
-2 -1
-1 1
0 3
1 5
2 7

Then draw the graph, find another point in the graph which intersect the slope,
lets say i found (-3,-3)which is on the slope
to prove it, i put (-3,-3) in the equation -2x + y = 3
and i got
3 = 3
Thus it is correct.

7 0

3 years ago

Please solve this question.

andre [41]

Answer:

x = - 2

y = 5

Step-by-step explanation:

Hi there !

2x + 9 = y

y = - 4x - 3

equality

2x + 9 = - 4x - 3

2x + 4x = - 9 - 3

6x = - 12

x = - 12 : 6

x = - 2

replace x = - 2

2(-2) + 9 = y

- 4 + 9 = y

y = 5

Good luck !

8 0

3 years ago

Please help me I need help today thank you and please show work

scoundrel [369]

17) $x-8=11$

18) $9-x=5$

19) $x+6=7$

20) $x+(-4)=-18$

Step-by-step explanation:

17) The difference between a number and 8 is 11

Let number = x

then the equation will be:

$x-8=11$

Solving:

$x-8=11$

$x=11+8\\x=19$

18) Nine less than a number is five.

Let number = x

then the equation will be:

$9-x=5$

Solving:

$9-x=5\\-x=5-9\\-x=-4\\x=4$

19) Seven is equal to a number plus 6

Let number = x

then the equation will be:

$x+6=7$

Solving:

$x+6=7\\x=7-6\\x=1$

20) The sum of a number and -4 is -18

Let number = x

then the equation will be:

$x+(-4)=-18$

solving:

$x+(-4)=-18\\x-4=-18\\x=-18+4\\x=-14$

Keywords: Algebraic Expressions

Learn more about Algebraic Expressions at:

#learnwithBrainly

5 0

4 years ago

Please help answer these questions. My teacher said they were really easy but I just don't understand. Will mark brainliest !!!

kodGreya [7K]

Answer:

1. A = 59

2. A = 43

Step-by-step explanation:

If we have a right triangle we can use sin, cos and tan.

sin = opp/ hypotenuse

cos= adjacent/ hypotenuse

tan = opposite/ adjacent

For the first problem, we know the opposite and adjacent sides to angle A

tan A = opposite/ adjacent

tan A = 8.8 / 5.2

Take the inverse of each side

tan ^-1 tan A = tan ^-1 (8.8/5.2)

A = 59.42077313

To the nearest degree

A = 59 degrees

For the second problem, we know the adjacent side and the hypotenuse to angle A

cos A = adjacent/hypotenuse

cos A = 15.3/21

Take the inverse of each side

cos ^-1 cos A = cos ^-1 (15.3/21)

A = 43.23323481

To the nearest degree

A = 43 degrees

6 0

3 years ago