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3 years ago

Help plz thank you so much

Mathematics

2 answers:

IgorC [24]3 years ago

7 0

(x,y) to ( y, x ) that is the answer

Anit [1.1K]3 years ago

6 0

Answer:

(x, y) --> (y, x)

Step-by-step explanation:

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a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?

Kruka [31]

Find the length of the radius.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)} (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0$

The distance from B(x, y) to C(3, 5) is 5√2.
$\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50$

Solve system of equations.
$x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4
$

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

Point B could have coordinates
$\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)
$

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

8 0

4 years ago

Im having trouble remembering what we do with negative exponents

ale4655 [162]

When an equation is raised to the zero power, the equation equals 1, as a result, the answer is 1

If you are asking about how you organize a negative number, look at the second image

5 0

3 years ago

I need to know what the answer is the question is Josie bikes 40 miles each months for five months she multiplies 40×5 what unit

sleet_krkn [62]

The product would be 200 obliviously it would be miles because it says five months so it’s implying that you need to find the amount biked in 5 months

So it’s should be miles

3 0

3 years ago

Six more than four times a number is -26

bearhunter [10]

4x + 6 = -26

I'm not sure if your supposed to solve, but I will anyways :)

4x + 6 = -26
-6 -6
4x = -32
x = -8

Hope this helps!

5 0

3 years ago

The double number line shows how far a hummingbird can fly in 1 second -

jarptica [38.1K]

Answer:

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

3 0

3 years ago