All categories

3 years ago

ASAP need answer to this system of equations... ILL give brainliest to correct answers only

Mathematics

1 answer:

pshichka [43]3 years ago

8 0

Answer:

(7,12),(-12,-7)

Step-by-step explanation:

x^2 + y^2 = 193

x - y = - 5

x = y - 5

(y - 5)^2 + y^2 = 193

y^2 - 10y + 25 + y^2 = 193

2y^2 - 10y + 25 = 193

2y^2 - 10y + 25 - 193 = 0

2y^2 - 10y - 168 = 0

2*(y^2 - 5y - 84) = 0 This factors into

2*( y - 12) (y + 7) = 0

y = 12

in which case x = 12 - 5 = 7

y = - 7

in which case x = -7 - 5 = - 12

You might be interested in

If sin A = 3/8, find the value of cosec A - sec A.

alexira [117]

Answer:

$\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}$

Step by step explanation:

$\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies 1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\$

$\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}$

$\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}$

6 0

2 years ago

If an equation, Y varies directly as X varies. If Y equals 208 when X equals 13, what is the value of X when Y equals -144?

arlik [135]

Answer: X = -9

Step-by-step explanation:

You can set up a ratio to solve this.

208/13 = -144/x

208x=-1872

x = -9

7 0

3 years ago

Help please this is do soon I will mark brainliest

Fed [463]

Answer:

(-3,2)

Step-by-step explanation:

when reflecting over the y axis all you have to do is flip the signs on the x values so it would be (-3,2)

4 0

3 years ago

Metodo igualacion A) x+ y = 12 B) x - y = 4 ?

Olenka [21]

<span>No sé la forma correcta de hacerlo, pero encontrar conjuntos de dos números que pueden igualar 12, luego encontrar cuál de los encaja en la segunda ecuación correctamente.</span>

6 0

3 years ago

Selectie correct answer.

denis-greek [22]

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

4 0

3 years ago