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Sphinxa [80]
3 years ago
12

-4x+3y=-2y=x-1y=? x=?​

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

x=-1 , y=-2

Step-by-step explanation:

Replace y in the first equation with x-1.

So, we have -4x+3(x-1)=-2

Multiply brackets with 3: -4x+3x-3=-2

-4x+3x=-2+3 (-3 becomes +3 after it changes sides)

-x=1 /*(-1)

x=-1

After we have x we include it in y=x-1

y=-1-1

y=-2

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Llana [10]
It is 6/9. 3 times 3 equals 9, so u have to multiply 2 times 3 and u get six.
2/3=6/9
8 0
3 years ago
Terrell is moving boxes in a freight elevator. Each box weighs about 25 pounds. For safety reasons, a maximum of 600 pounds can
k0ka [10]

Answer:

x ≤ 15

Step-by-step explanation:

25x + 225 ≤ 600

Subtract 225 from both sides and get

25x  ≤  375

Divide 25 from both sides and you´ll get

x ≤ 15

3 0
3 years ago
In the parabola y = (x + 12 + 2, what is the vertex?
VladimirAG [237]

Answer:

The vertex is the point (-6,-34)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

y=x^{2}+12x+2

Convert in vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-2=x^{2}+12x

Complete the square . Remember to balance the equation by adding the same constants to each side.

y-2+36=x^{2}+12x+36

y+34=x^{2}+12x+36

Rewrite as perfect squares

y+34=(x+6)^{2}

y=(x+6)^{2}-34

The vertex is the point (-6,-34)

4 0
3 years ago
PLEASE HELP!!!! 20 POINTS!!!!
galben [10]
These are two questions and two answers.

Question 1) Which of the following polar equations is equivalent to the parametric equations below? 

<span> x=t²
y=2t</span>

Answer: option <span>A.) r = 4cot(theta)csc(theta)
</span>

Explanation:

1) Polar coordinates ⇒ x = r cosθ and y = r sinθ

2) replace x and y in the parametric equations:

r cosθ = t²
r sinθ = 2t

3) work r sinθ = 2t

r sinθ/2 = t 
(r sinθ / 2)² = t²

4) equal both expressions for t²

r cos θ = (r sin θ / 2 )²

5) simplify

r cos θ = r² (sin θ)² / 4

4 = r (sinθ)² / cos θ

r = 4 cosθ / (sinθ)²

r = 4 cot θ csc θ ↔ which is the option A.


Question 2) Which polar equation is equivalent to the parametric equations below?

<span> x=sin(theta)cos(theta)+cos(theta)
y=sin^2(theta)+sin(theta)</span>

Answer: option B) r = sinθ + 1


Explanation:

1) Polar coordinates ⇒ x = r cosθ, and y = r sinθ

2) replace x and y in the parametric equations:

a) r cosθ = sin(θ)cos(θ)+cos(θ)
<span> b) r sinθ =sin²(θ)+sin(θ)</span>

3) work both equations

a) r cosθ = sin(θ)cos(θ)+cos(θ) ⇒ r cosθ = cosθ [ sin θ + 1]  ⇒ r = sinθ + 1


<span> b) r sinθ =sin²(θ)+sin(θ) ⇒ r sinθ = sinθ [sinθ + 1] ⇒ r = sinθ + 1
</span><span>
</span><span>
</span>Therefore, the answer is r = sinθ + 1 which is the option B.
6 0
2 years ago
Read 2 more answers
Hope u can do it HELP MATH
Nostrana [21]

Answer:

the right answer would be 13

5 0
2 years ago
Read 2 more answers
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