Answer:
Last one is 90 and -65, 3rd one is 120 feet i think, and i am 99% sure 2nd one is 129
Step-by-step explanation:
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r =
r = 16 units
What is the underlined digit?
F(x)=12(3)ˣ
just find the slope
so for x=0
f(0)=12(3)⁰
f(0)=12(1)
f(0)=12
(0,12)
for x=5
f(5)=12(3)⁵
f(5)=12(243)
f(5)=2916
(5,2916)
the slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(0,12) and (5,2916)
slope=(2916-12)/(5-0)=2904/5
the rate of change is 2904/5
Answer:
EF = 22 , AB = 1
Step-by-step explanation:
the midsegment of a trapezoid is equal to half the sum of the parallel bases
EF = (AB + DC ) ← substitute values
x + 6 = (2x - 9 + x + 5) ← multiply both sides by 2 to clear the fraction
2x + 12 = 3x - 4 ( subtract 3x from both sides )
- x + 12 = - 4 ( subtract 12 from both sides )
- x = - 16 ( multiply both sides by - 1 )
x = 16
Then
EF = x + 6 = 16 + 6 = 22
Similarly
EF = (AB + DC ) , that is
x + 3 = (4x - 3 + 2x + 5 ) ← multiply both sides by 2 to clear the fraction
2x + 6 = 6x + 2 ( subtract 6x from both sides )
- 4x + 6 = 2 ( subtract 6 from both sides )
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Then
AB = 4x - 3 = 4(1) - 3 = 4 - 3 = 1