All categories

3 years ago

Solve the following system for all solutions: (x - 1)^2 + (y + 3)^2 = 13 x + y = -3

Mathematics

1 answer:

Mamont248 [21]3 years ago

4 0

Answer:

( -4, -1 ) and ( -9, - 6)

Step-by-step explanation:

<h3>Given</h3>

(x - 1)^2 + (y + 3)^2 = 13
x + y = -3

<h3>Solution</h3>

<u>From the second equation we get</u>

x = - y - 3

<u>Substituting x in the first equation</u>

(- y - 3 - 1)^2 + (y + 3)^2 = 13
(-y - 4)^2 + (y + 3)^2 = 13
(y+4)^2 + (y+3)^2 = 13
y^2 + 8y + 16 + y^2 + 6y + 9 = 13
2y^2 + 14y + 12 = 0
y^2 +7y +6 = 0
(y+1)(y+6) = 0
y = - 1
y = - 6

x = -4
x = - 9

<u>Answer</u>

( -4, -1 ) and ( -9, - 6)

You might be interested in

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

For ΔWXY,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}$

Now,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}$

$\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}$

$900\sin X=680\sin (157^\circ)$

$\sin X=\dfrac{680}{900}\sin (157^\circ)$

$\sin X=0.295219$

$X=\sin^{-1}(0.295219)$

$X=17.17067$

$X\approx 17$

Therefore, the value of ∠X is 17 degrees.

5 0

2 years ago

Will mark brainliest for whoever answers correctly

siniylev [52]

I think it is D:{5,-infinity}

6 0

2 years ago

250 divided by 10 squared equals?

navik [9.2K]

250 divided by 10 squared is 2.5

4 0

3 years ago

Read 2 more answers

36<br>48<br>Common Factors:<br>GCF:<br><br><br>What is it?

Lady_Fox [76]

Answer: 6

Step-by-step explanation: 36 divided by 6 equals 6

48 divided by8 is 6

common factor is 6

4 0

3 years ago

Jennifer can sew 120 masks in 20 hr and Janice can sew 120 masks in 30 hr. How many hours does it take them to sew 120 masks if

rewona [7]

Answer:

Objective 3: Solve work problems Q25 Solve a work problem Homework. Unanswered Jennifer can sew 120 masks in 20 hr and Janice can sew 120 masks in 30 hr. How many hours does it take them to sew 120 masks if they work together?

Step-by-step explanation:

i think u should've put it in that format

3 0

2 years ago

Solve the following system for all solutions: (x - 1)^2 + (y + 3)^2 = 13 x + y = -3​

Solve the following system for all solutions: (x - 1)^2 + (y + 3)^2 = 13 x + y = -3