Answer:
-4n + 5y + 6
Step-by-step explanation:
Distribute the negative
−4n + 5y + 6
There is really no answer for this but all you have to do is to multiply the figures outside the bracket by the ones inside the brackets.
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}](https://tex.z-dn.net/?f=r%3D%20%5Csqrt%7B%283-%28-4%29%29%5E2%2B%285-6%29%5E2%7D%0A%5C%5Cr%20%3D%20%20%5Csqrt%7B7%5E2%2B%28-1%29%5E2%7D%0A%5C%5Cr%3D%20%5Csqrt%7B50%7D%20%0A%5C%5C%20%20r%3D5%20%5Csqrt%7B2%7D%20)
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)
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](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x-3%29%5E2%2B%28y-5%29%5E2%7D%3D5%20%5Csqrt%7B2%7D%20%0A%20%5C%5C%28x-3%29%5E2%2B%28y-5%29%5E2%3D%285%20%5Csqrt%7B2%7D%29%5E2%20%0A%5C%5C%28x-3%29%5E2%2B%28y-5%29%5E2%3D50)
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 ](https://tex.z-dn.net/?f=x%2B7y-38%3D0%0A%5C%5C%28x-3%29%5E2%2B%28y-5%29%5E2%3D50%0A%5C%5C%0A%5C%5Cx%3D38-7y%0A%5C%5C%2838-7y-3%29%5E2%2B%28y-5%29%5E2%3D50%0A%5C%5C%2835-7y%29%5E2%2B%28y-5%29%5E2%3D50%0A%5C%5C1225-490y%2B49y%5E2%2By%5E2-10y%2B25-50%3D0%0A%5C%5C50y%5E2-500y%2B1200%3D0%0A%5C%5Cy%5E2-10y%2B24%3D0%0A%5C%5Cy%5E2-6y-4y%2B24%3D0%0A%5C%5Cy%28y-6%29-4%28y-6%29%3D0%20%5C%5C%28y-6%29%28y-4%29%3D0%20%5C%5Cy_1%3D6%2Cy_2%3D4%0A)
![x_1=38-7y_1=38-7 \times 6 = 38-42=-4 \\x_2=38-7y_2=38-7 \times 4 = 38-28=10 ](https://tex.z-dn.net/?f=x_1%3D38-7y_1%3D38-7%20%5Ctimes%206%20%3D%2038-42%3D-4%0A%5C%5Cx_2%3D38-7y_2%3D38-7%20%5Ctimes%204%20%3D%2038-28%3D10%0A)
Point B could have coordinates
![\\ \\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4) ](https://tex.z-dn.net/?f=%5C%5C%0A%5C%5C%28x_1%2Cy_1%29%3D%28-4%2C6%29%2C%28x_2%2Cy_2%29%3D%2810%2C4%29%0A)
But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).
Answer:
visual wise: you mirror it
Step-by-step explanation:
<em>Hi there,</em>
Let the number of bats be x.
42x + 12 = 348
4x = 336 | Take away 12 from both sides
x = 84 | Divide by 4 on both sides
Answer: The team ordered 84 bats.
<em>Hope this helps,</em>
<em>TF</em>
Answer: If the box holds all the sugar cubes and only the sugar cubes it has a volume of 24 cubic units. the units will be the side measurement of one of the sides of the sugar cube. The smallest zero is x = -10 as its the left-most value on a number line.
Step-by-step explanation: