Answer:
The slope is 5/3
Step-by-step explanation:
(12,0)
(0,-20)
Changes in y is -20-0=-20
Changes in x is 0-12=-12
Rise(y) over run(x) = -20/-12
-5/-3
5/3
Answer:
3. x = y - 3
Step-by-step explanation:
You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.
x + 3 = y
x = y - 3
Answer:
x = -2 & y = 6
Step-by-step explanation:
Hope this helps.
Answer:
Volume of solid = 737 cm³ (Approx)
Step-by-step explanation:
Given:
Radius r = 4 cm
Length of cylinder = 12 cm
Find:
Volume of solid
Computation:
Volume of solid = Volume of hemisphere + Volume of cylinder
Volume of solid = (2/3)πr³ + πr²h
Volume of solid = (2/3)π(4)³ + π(4)²(12)
Volume of solid = 134 + 603
Volume of solid = 737 cm³ (Approx)
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
