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Mila [183]
2 years ago
8

Find the solution to the system of equations below (you can do this by substitution or elimination).

Mathematics
1 answer:
rewona [7]2 years ago
8 0

Step-by-step explanation:

y=6+4x, as equation (iii)

=> -5x-(6+4x)=21

=> -5x-6-4x=21

=> -5x-4x-6=21

=> -9x-6=21

=> -9x=21+6

=> -9x=27

x= -3, by dividing both sides by -9

So, by inserting x in the first equation,

=> -4(-3)+y=6

=> 12+y=6

=> y=6-12

=> y= -6.

Therefore, x= -3 and y= -6

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Solve the inequality. Graph the solution. Describe the graph in the area provided. Be sure to indicate where there is an open or
natka813 [3]

Step-by-step explanation:

The given inequality is :

-27\ge \dfrac{1}{2}(6x-12)

Solving RHS of the inequality:

-27\ge \dfrac{1}{2}\times 2(3x-6)\\\\-27\ge (3x-6)

Adding 6 both sides of the inequality

-27+6\ge (3x-6)+6\\\\-21\ge 3x\\\\x\le -7

The attached figure shows the graph for the given inequality.

7 0
3 years ago
Consider triangle ABC. The legs have a length of 5 units each. What is the length of the hypotenuse of the triangle?
Korvikt [17]

Answer:

5\sqrt{2} units.

Step-by-step explanation:

We have been given that two legs of triangle ABC measures 5 units each. We are asked to find the length of the hypotenuse.

We will use Pythagoras theorem to solve for the hypotenuse of triangle ABC.

\text{Hypotenuse}^2=\text{Leg}^2+\text{Leg}^2

Substituting our given values in above equation we will get,

\text{Hypotenuse}^2=5^2+5^2

\text{Hypotenuse}^2=25+25

\text{Hypotenuse}^2=50

Upon taking square root of both sides of our equation we will get,

\text{Hypotenuse}=\sqrt{50}

\text{Hypotenuse}=\sqrt{25*2}

\text{Hypotenuse}=5\sqrt{2}

Therefore, the length of hypotenuse of triangle ABC is 5\sqrt{2} units.

6 0
3 years ago
Read 2 more answers
1) Are the following lines parallel, perpendicular, or neither?
Maru [420]
In 1)

Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)

Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)

Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)

If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.

So,
Option D will be correct.

5 0
3 years ago
a 2014 mustang originally costs $25000.00 and depreciates at a rate of 8% per year. What is the cost of the car after 7 years?
frutty [35]
$11,000 will bet the cost in 7 years

Given:

Original cost: $25,000

Depreciation rate: 8%

Term: 7 years

Formula for Depreciation:

A = C ( 1 - ( r ) (t) )

A = Future Value

C = Original Cost

r = rate

t = term

Solution:

Substitute the given values to the formula for depreciation.

A = $25,000( 1 - ( 0.08)(7))

A = $25,000( 1 - .56 )

A = $25,000(0.44 )

A = $11,000


8 0
2 years ago
You have 24 toys for 6 children.
Lelu [443]
24 divided by 6 equals 4
5 0
2 years ago
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