Answer:
A
Step-by-step explanation:
using the rule : 
= 
+ 7
sequence A with a₁ = 11
a₂ = a₁ + 7 = 11 + 7 = 18
a₃ = a₂ + 7 = 18 + 7 = 25
a₄ = a₃ + 7 = 25 + 7 = 32
sequence A is generated using the rule
sequence B with a₁ = 17
a₂ = a₁ + 7 = 17 + 7 = 24
a₃ = a₂ + 7 = 24 + 7 = 31
a₄ = a₃ + 7 = 31 + 7 = 38
sequence B is not generated using the rule
sequence C with a₁ = - 15
a₂ = - 15 + 7 = - 8
a₃ = a₂ + 7 = - 8 + 7 = - 1
a₄ = a₃ + 7 = - 1 + 7 = 6
sequence C is not generated using the rule
sequence D with a₁ = - 9
a₂ = a₁ + 7 = - 9 + 7 = - 2
a₃ = a₂ + 7 = - 2 + 7 = 5
a₄ = a₃ + 7 = 5 + 7 = 12
sequence D is not generated using the rule
The multiplier to get from 6 * ... to 15 is 15/6.
If 6 * 15/6 = 15, then 20 * 15/6 = 50, answer B.
Problem 1)
AC is only perpendicular to EF if angle ADE is 90 degrees
(angle ADE) + (angle DAE) + (angle AED) = 180
(angle ADE) + (44) + (48) = 180
(angle ADE) + 92 = 180
(angle ADE) + 92 - 92 = 180 - 92
angle ADE = 88
Since angle ADE is actually 88 degrees, we do NOT have a right angle so we do NOT have a right triangle
Triangle AED is acute (all 3 angles are less than 90 degrees)
So because angle ADE is NOT 90 degrees, this means
AC is NOT perpendicular to EF-------------------------------------------------------------
Problem 2)
a)
The center is (2,-3) The center is (h,k) and we can see that h = 2 and k = -3. It might help to write (x-2)^2+(y+3)^2 = 9 into (x-2)^2+(y-(-3))^2 = 3^3 then compare it to (x-h)^2 + (y-k)^2 = r^2
---------------------
b)
The radius is 3 and the diameter is 6From part a), we have (x-2)^2+(y-(-3))^2 = 3^3 matching (x-h)^2 + (y-k)^2 = r^2
where
h = 2
k = -3
r = 3
so, radius = r = 3
diameter = d = 2*r = 2*3 = 6
---------------------
c)
The graph is shown in the image attachment. It is a circle with center point C = (2,-3) and radius r = 3.
Some points on the circle are
A = (2, 0)
B = (5, -3)
D = (2, -6)
E = (-1, -3)
Note how the distance from the center C to some point on the circle, say point B, is 3 units. In other words segment BC = 3.
The dilated graph drawn from the given question is given in the figure .
<h3>WHAT IS DILATION ?</h3>
A dilatation is a transformation that increases an image's size without altering its form or ratios.
It's similar to how when Ant-Man grows or shrinks, every portion of his body shrinks or grows by the same amount, leaving him with the same appearance. In terms of human physiology, the word "dilation" refers to relaxation, opening, or widening. This is typically utilised in buildings where materials can pass through. Due to the fact that dilation is an autonomic process, it cannot be actively managed. It is a technique for regulating or directing how things move through the body, including solids, liquids, and both.
Simply said, smooth muscle. One of the three types of muscles in the body, smooth muscle is frequently seen in internal organs like the stomach, bronchi, and bladder. Blood vessels and muscle sphincters are two other structures that contain smooth muscle. These organs and structures can dilate as a result of smooth muscle relaxation.
learn more about dilation here :
brainly.com/question/13176891
#SPJ13
Slope intercept form is y = 2x - 6
