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3 years ago

How do i solve this question

Mathematics

1 answer:

denpristay [2]3 years ago

5 0

Answer:

they all equal the same and x= -1, -7

Step-by-step explanation:

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Recall the equation for a circle with center ( h , k ) and radius r . At what point in the first quadrant does the line with equ

astraxan [27]

Answer:

The Point in the first quadrant is $(\sqrt[2]{2.0268} ,6.559)$ .

Step-by-step explanation:

Since

we know the general equation of the circle whose center is at (h,k) and radius is r that is

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

we have given center is (0,3) and radius is r= 4

substituting in the general equation of the circle we get

$x^2 +(y-3)^2 = 16$

Now substituting the y= 2.5x + 3 in the above equation we get

$x^2 +(2.5x + 3-3)^2 = 4^2$

$x^2 +6.25x^2 = 16$

here subtracting 16 from both sides and also perform addition

we get

$7.25x^2 = 16$

dividing both sides by 7.25 we get

$x^2 =2.2068$

taking square root both sides we get

$x= \frac{+}{-}\sqrt[2]{2.0268}$

but we need positive value of x because both x and y are positive in the first quadrant

that is

$x= \sqrt[2]{2.0268}$

substituting this into the given equation of the line we get

y = 2.5( $\sqrt[2]{2.0268}$ )+3

y = 6.559

so the point in the first quadrant is ( $\sqrt[2]{2.0268}$ ,6.559)

that is required

6 0

4 years ago

Read 2 more answers

What is 12 divided by 18 as a fraction

pickupchik [31]

Answer:

12/18

Step-by-step explanation:

3 0

3 years ago

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ANSWER QUICKLY. I GIVE BRAINLIEST AND A FOLLOW.

LekaFEV [45]

Answer:

(4,-3)

Step-by-step explanation:

This is where the 2 lines meet

5 0

3 years ago

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Find the degree of the polynomial <br> 5mn^4+7mn^2p^5+15np

user100 [1]

Answer:

The degree of this polynomial is "8"

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term. Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term $5\,m\,n^4$ contains one variable "m" and four variables "n", so a total of five. Then its degree is: 5

2) term $7\,m\,n^2\,p^5$ contains one variable "m", two variables "n", and five variables "p". that is a total of eight variables. Then its degree is: 8