Given slope(m) is 5 and y-intercept(b) is 4. so you simply plug in where it belongs into the equation, y = mx + b
y = 5x + 4
hope this helped, God bless!
DC/AC=EC/BC
x/(x+3)=10/16
10(x+3)=16x
10x+30=16x
30=6x
x=5
DC=x=5
DC=5 units long
10/16=DE/AB, DE=y
10/16=y/10
16*y=10*10
y=6.25≈6.3
DE≈6.3
Answer:
<u>The standard form is:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius
<u>Convert the given into standard form by completing square:</u>
- x² - 4x + y² + 6y = 12
- x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9
- (x - 2)² + (y + 3)² = 25
- (x - 2)² + (y + 3)² = 5²
- The standard form is above.
- The center is (h, k) = (2, -3)
- The radius is r = 5
To do this, divide 9 by 5. it is one, with a remainder of 4. so the 4 goes over 5 as a fraction. the answer is then 1 4/5
Answer:
288 pi or 904.22
Step-by-step explanation:
(4/3) × pi × r³
(4/3) × pi × 6³
288pi or
288 × 3.14 = 904.32 units³
