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stira [4]
3 years ago
11

Solve the simultaneous equation: 3x+y=-4 3x-4y=6

Mathematics
1 answer:
Verdich [7]3 years ago
7 0

3x+y=-4

3x-4y=6

--------------subtract

5y = -10

y = -2

Substitute y = -2 into 3x + y = -4

3x + (-2) = -4

3x - 2 = -4

3x = -2

 x = -2/3

Answer

Solution x = -2/3, y = - 2 OR (-2/3 , - 2)

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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
harina [27]

Answer:

The answer to your question is:

             (x - 5)² + (y + 4)² = 10²     or         (x - 5)² + (y + 4)² = 100

Step-by-step explanation:

Data

Center (5, - 4)

Point ( -3 , 2)

Formula

d = √ ((x2- x1)² + (y2 - y1)²)

(x - h)² + (y - k)² = r²

Process

Radius

d = √ ((-3 - 5)² + (2 + 4)²)

d = √ ((-8)² + (6)²)

d = √ 64 + 36

d = √100

d = 10 units

Circle

                           (x - 5)² + (y + 4)² = 10²

                             (x - 5)² + (y + 4)² = 100

8 0
3 years ago
(-8)^-2 / 3^-4 simplify the expression. Write your answer using only positiv exponents.
spin [16.1K]

Answer:

3^4 / 8^2 or 81/64

Step-by-step explanation:

(-8)^-2 / 3^-4 =

= 3^4 / (-8)^2

= 3^4 / 8^2

= 81/64

4 0
3 years ago
Help! Algebra! please answer if you only know! and make it undertanding!
snow_lady [41]
1. a. Pretty much, you just have to rearrange it so that the highest power is in the front. So, here's your answer:
-6x^4+4x^2+2
b. It's a 4th-degree polynomial. A degree means that "what's the highest power?"
c. It's a trinomial. It has 3 terms, hence it's a trinomial.

2. a. Since it's an odd power and a negative coefficient, it will be:
x→∞, f(x)→-∞
x→-∞, f(x)→∞
b. The degree is even and the coefficient is negative, so it will be:
x→∞, f(x)→-∞
x→-∞, f(x)→-∞

3. a. This basically means that if you solve for x, you should get -2, 1, and 2. So, to do this, you can just write it in factored form and multiply inwards using any method of your choice (remember that in the parentheses, you should get the above value if you solve for x):
f(x) = (x-2)(x+2)(x-1)
If you multiply it out, you get (also your answer):
x^3-x^2-4x+4

4. The zeros are at x = 3, 2 and -7. Multiplicity of 3 is 1, for 2 it's 2, and for -7 it's 3.

Hope this helps!
6 0
4 years ago
Read 2 more answers
Help on this pleasee
Zina [86]

Answer: 40 degrees

Step-by-step explanation:

4 0
3 years ago
Help me plz with this answer
Lesechka [4]
$52.50 / 42 = 1.25
$1.25 per each slice 
7 0
4 years ago
Read 2 more answers
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