MATHEMATICS MIDDLE SCHOOL

Which ordered pair is the solution to the system of equations?2x+y=-8
x-y=-4

A.
(−3, −2)

B.
(−1, 3)

C.
(1, 5)

D.
(−4, 0)

Answers

Answer 1
Answer: so first solve for x and y
add the 2 equations together

2x+x+y-y=-8-4
3x=-12
divide by 3
x=-4
subsitute
-4-y=-4
addd 4 to both sdies
-y=0

the solution is (x,y)  (-4,0) or D
Answer 2
Answer: So,

I have decided to use Elimination by Addition.

Add the two equations together
3x = -12

Divide both sides by 3
x = -4

Substitute -4 for x in the second equation.
-4 - y = -4

Add 4 to both sides
-y = 0
y = 0

Check
2(-4) + 0 = -8
-8 = -8 This checks.

-4 - 0 = -4
-4 = -4 This also checks.

The solution set for this system is as follows:
S = {(-4,0)}

That would be option D.

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Alguém sabe como faz essas duas questões ?

Answers

Minha resposta: não.

PLEASE NEED THIS DONE AS FAST AS POSSIBLE!!!!!!!!!!!!!!!!!
IT MUST BE CORRECT

Answers

Answer:

1)7.288 feet

2)11.6 feet

3)safe

4) 3.7 feet

5) ∅= tan^(-1)(1.5) = 56.31 degrees

6)∅1= tan^(-1)(2) = 63.43 degrees

  ∅2= tan^(-1)(1.2) = 50.19 degrees

Step-by-step explanation:

1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.

Applying trigonometry,

tan(39) = (opposite)/(adjacent) = (s)/(9) = 0.809

Thus, s= (9)(0.809) = 7.288 feet

2) Applying pythagoras theorm,

   (Diagonal)^(2) = (9)^(2) + (7.288)^(2) =134.115

  Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet

3) The length of ladder is 14 foot and height from ground is 13.5 feet.

Applying trigonometry,

sin(∅) =  (opposite)/(hypotenous) = (13.5)/(14) = 0.964

∅ = angle of elevation = sin^(-1)(0.964) = 74.57 ≈ 75 degrees.

Thus tractor can climb safely.

4)Applying, pythgoras theorm,

14^(2) = (13.5)^(2)  + x^(2)

x = \sqrt{14^(2)-(13.5)^(2)} = 3.708

Thus, ladder should be placed at distance 3.7 feet

5)Let angle of elevation be ∅.

  tan(∅) = (30)/(20) = 1.5

  ∅= tan^(-1)(1.5) = 56.31 degrees

6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.

Thus,

tan(∅1) = (30)/(15) = 2

  ∅1= tan^(-1)(2) = 63.43 degrees

tan(∅2) = (30)/(25) = 1.2

  ∅2= tan^(-1)(1.2) = 50.19 degrees

Emilio wants to solve this equation.x
5
= 35

Help him follow the steps to finish solving for x.

1.  Multiplication property of equality:  StartFraction 5 Over 1 EndFraction times StartFraction x Over 5 EndFraction = 35 times 5

2. Simplify: x =

Answers

Answer:

175

Step-by-step explanation:

1. multiply the entire equation by 5:

(x/5)x5=x

35x5=175

2. simplify:

x=175

I hope this is what you were looking for! If this helped please mark branliest, thank you!

The value of x is 175 .

Given,

x/5 = 35

Here,

Multiply the entire equation by 5:

(x/5)x5=x

35x5=175

Simplify,

x=175

Thus the value of x is 175 .

Know more about algebra,

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Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 row of the same length, he has 3 chairs left over. If he arranges the chairs in 7 rows of that same length, he has 19 left. How many chairs does Liam have?

Answers

Let the number of chairs in a row be x, then the total number of chairs is 9x + 3 = 7x + 19. i.e. 9x + 3 = 7x + 19; 9x - 7x = 19 - 3; 2x = 16 x = 16/2 = 8. Thus there are 8 chairs in each row. Therefore, the total number of chairs is given by 9(8) + 3 = 72 + 3 = 75.I hope that my answer is helpful! Let me know if you need something more :)

Joe has a Target Red Card and receives a 5% discount of every purchase he makes at Target. If t represents the cost of Joe’s purchases at Target, which expression represents his bill? Choices:
a) .05t
b) .95t
c) t-0.05
d) t+0.95

Answers

B. I think because my equation is 95*t/100, so it would make sense because 95/100=0.95, and 0.95t=to the answer B.

I hope this helped you!

48/3 to the simplest form is?

Answers

Find the Greatest Common Factor (GCF)
of 48 and 3

GCF = 3

We can reduce the fraction by dividing
the numerator and denominator by 3

48 ÷ 33 ÷ 3=161

Dividing 16 by 1 we get

=16
To reduce any fraction to its simplest form, divide the top and bottom numbers by their greatest common factor.

The greatest common factor of  3  and  48  is  3.
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