Two angles are complementary. The first angle measures 35°. What's the measurement of the second angle?

At a local fitness center members pay a a $ 14 membership fee and $ 2 for each aerobics class. Nonmembers pay $ 4 for each aerob

mestny [16]

14+2x=4x: divide 2x on each side

14=2x: divide by 2

7=x

7

8 0

3 years ago

Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)

lozanna [386]

Standard equation of a circle: (x-h)² + (y-k)² = r² where (h, k) is the center and r is the radius. In the case of our equation here, (x-5)² + (y+3)² = 25, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Distance = $\sqrt{(-3-3)^2+(5-2)^2}$

Distance = $\sqrt{(-6)^2+3^2}$

Distance = $\sqrt{36+9}$

Distance = $\sqrt{45}\approx6.7082$

$6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}$

8 0

3 years ago

Please help, I need this quickly. Fairly easy, help pleasee

ahrayia [7]

-4x-3y-9=0
|| m1 = - ( - 4)/-3= - 4/3
_|_ m2 = -1/m1= 3/4

2x+4y-3=0
|| m1= -2/4= -1/2
_|_ m2= 2

12x-y-17=0
|| m1= -12/-1=12
_|_ m2 = -1/12

x-y=0
|| m1= -1/-1=1
_|_ m2= -1

8x - 3y - 2=0
|| m1= -8/-3= 8/3
_|_ m2 = -3/8

-2x + y - 5=0
|| m1= -(-2)/1=2
_|_ m2= -1/2

3 0

3 years ago

Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaT

marissa [1.9K]

Given:

Susan divides the fraction $\dfrac{5}{8}$ by $\dfrac{1}{16}$ .