All categories

4 years ago

What is the solution to the system of equations?

Mathematics

2 answers:

sineoko [7]4 years ago

3 0

Answer:

A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously. In order to solve a system of equations, one must find all the sets of values of the variables that constitutes solutions of the system.

Step-by-step explanation:

madam [21]4 years ago

3 0

Answer:

(2,7)

Step-by-step explanation:

n=2p+3

n=5+p

We can combine the equation to a simpler equation

5+p=2p+3 to get p=2p+-2

-p=-2 or p=2

We can plug this in to get n=5+2 to get n=7

You might be interested in

What is 69+69-69+1-1+0

MariettaO [177]

The answer is 69 , because it just cancels out the numbers

7 0

3 years ago

Read 2 more answers

Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle?

kumpel [21]

Answer:

The equation that represents the circle is $(x-14)^{2}$ + $(y-9)^{2}$ = 13

Step-by-step explanation:

Given the center of circle (14,9) passes through point (16,12)

We know that the equation of circle is

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

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

From given data (x,y) is (16,12) and (h,k) is (14,9). Substituting these values in equation of circle, we get

$(16-14)^{2}$ + $(12-9)^{2}$ = $r^{2}$

$r^{2}$ = $2^{2}$ + $3^{2}$

$r^{2}$ = 13

Substituting the values of (h,K) and $r^{2}$ as (14,9) and 13 respectively in equation of circle, we get

$(x-14)^{2}$ + $(y-9)^{2}$ = 13

Hence the equation that represents the circle is $(x-14)^{2}$ + $(y-9)^{2}$ = 13

7 0

3 years ago

given: sin theta= 2/3 and theta is in the second quadrant; evaluate the following expression. sin2theta

andre [41]

The value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

<h3>Sine ratio </h3>

The sine ratio is given as:

$\sin(\theta) = \frac23$

<h3>Trigonometry</h3>

In trigonometry, we have the following ratio

$\sin^2(\theta) + \cos^2(\theta) = 1$

Substitute $\sin(\theta) = \frac23$ in the above equation

$\frac 23 + \cos^2(\theta) = 1$

Collect like terms

$\cos^2(\theta) = 1 -\frac 23$

Evaluate

$\cos^2(\theta) =\frac 13$

Take square roots

$\cos(\theta) =\pm\frac 1{\sqrt 3 }$

Rationalize

$\cos(\theta) =\pm\frac {\sqrt 3 }3$

From the question, $\theta$ is in the second quadrant, and cosine is negative.

So, we have:

$\cos(\theta) =-\frac {\sqrt 3 }3$

In trigonometry, we have:

$\sin(2\theta) = 2\sin(\theta)\cos(\theta)$

So, we have:

$\sin(2\theta) = 2\times \frac 23 \times -\frac {\sqrt 3 }3$

$\sin(2\theta) = -\frac {-4\sqrt 3 }9$

Hence, the value of $\sin(2\theta)$ is $-\frac {-4\sqrt 3 }9$

Read more about trigonometry ratios at:

brainly.com/question/10417664

7 0

2 years ago

Can someone answer question 14 pleaseeeee

Novay_Z [31]

6.00+.20+.001 is the answers

8 0

3 years ago

Read 2 more answers

PLZ HELP IM IN 8TH GRADE

jok3333 [9.3K]

Answer:

recently. The dollar amount collected was $835. Adult tickets, A sold for $8 each and childrens tickets, C sold - 119… ... Adult tickets, A sold for $8 each and childrens tickets, C sold for $5 each. Write a system of ... Now, we need to know how many tickets were sold from both adults and children. Our new ...

1 answer

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers