Equation of a circle that has a center at (h,k) and radius of r is
(x-h)²+(y-k)²=r²
so
given center (-1,2)
(x-(-1))²+(y-2)²=r²
(x+1)²+(y-2)²=r²
sub the other point to find r or r²
it passes through (2,-2)
sub 2 for x and -2 for y
(2+1)²+(-2-2)²=r²
(3)²+(-4)²=r²
9+16=r²
25=r²
5=r
the equation is
(x+1)²+(y-2)²=5²
Ángel and Jayden we’re at track practice.
The track is 2/5 kilometers around.
* Ángel ran 1 lap in 2 minutes.
* Jayden ran 3 laps in 5 minutes.
How far does Jayden run in one minute?
4 1/6 km
One way to find the slope-intercept form is to plug the given values into point-slope form, y - y_{1} = m (x - x_{1}), where x_{1} and y_{1} are the coordinate points and m is the slope. Then, you solve for y.
y - y_{1} = m (x - x_{1}) Plug in the values
y - (-4) = 34 (x - 5) Fix the minus negative four
y + 4 = 34 (x - 5) Use the Distributive Property
y + 4 = 34x - 170 Subtract 4 from both sides
y = 34x - 174
The slope-intercept form of the equation that passes through (5, -4) and has a slope of 34 is y = 34x - 174.
Question:
Veronica is choosing between two health clubs. after how many months will the total cost for each health club be the same? yoga studio a: membership: $24.00 monthly fee: 21.50. yoga studio b: membership: $41.00 monthly fee: $17.25
Answer:
It takes 4 years for the total cost of each club to become equal
Step-by-step explanation:
Given:
For yoga studio A:
membership: $24.00
monthly fee: 21.50.
For yoga studio B:
membership: $41.00
monthly fee: $17.25
To Find:
Number of months after which the total cost for each health club be the same = ?
Solution:
Let x be the number of months of membership, and y be equal the total cost.
For Yoga club A
y = 21.50 x + 24
For Yoga club B
y = 17.25 x + 41.00
we know that the prices, y , would be equal, we can set the two equations equal to each other.
21.50 x + 24 =17.25 x+ 41.00
Grouping the like terms,
21.50x - 17.25 x= 41.00
- 24
4.25x=17
x=
x = 4
Answer:
14400
Step-by-step explanation:
X - X × 75%=3600
X - X ×
= 3600
X -
= 3600
= 3600
= 3600
X = 3600 × 4
X = 14400