10x-2y=10 We need to solve this equation for "y" to put it into slope intercept form:
10x-2y=10
-2y = -10x +10 Subtracted 10x from both sides
y = 5x - 5 Divided both sides by -2
y = 5x - 5 Is slope intercept form
Answer:
6/7
Step-by-step explanation:
45x+34=24x+16
collect like terms, we now have;
45x-24x=16-34
21x=-18
X=18/21
X=6/7
Answer:
up to $338.18
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r/n)^(n*t), where r is the interest rate as a decimal fraction and n is the number of compounding periods per year.
Here, A = $300(1 + 0.04/12)^(12*3), or
A = $300(1.0033333)^*36, or
A = $300(1.127) = $338.18
Nina will be able to spend up to $338.18 on a new bike.
Answer:
(x-1)²+ (y-0.5)²=6.25
Step-by-step explanation:
<u>The standard form of equation of a circle is;</u>
(x-a)²+(y-b)²=r² where (a,b) are the center of the circle and r is the radius
<u>Finding the mid-point of the given points</u>
(-1,2) and (3,-1)⇒midpoint will be 1/2(x₁+x₂) , 1/2(y₁+y₂)
midpoint= {1/2(-1+3), 1/2(2+-1)}
midpoint=(1,0.5)
<u>Finding the radius r; the distance from the center to either of the given two points</u>
Apply the distance formula d=√ (x₂-x₁)² +(y₂-y₁)²
Taking (x₁,y₁) as (1,0.5) and (x₂,y₂) as (-1,2) then
d=√ (-1-1)² +(2-0.5)²
d= √ (-2)²+(1.5)²
d=√4+2.25⇒√6.25⇒2.5
r=2.5
<u>Equation of the circle</u>
(x-1)² + (y-0.5)²=2.5²
(x-1)²+ (y-0.5)²=6.25
Answer:
all sides are 16 ft
Step-by-step explanation:
If the side length is x, the area is x²=256, hence x = √256 = 16
