Answer:
y = -5x-4
Step-by-step explanation:
start with slope-intercept form:
-9-11/1+3 = -20/4 = -5
your slope is -5
next, do point-slope form:
y+9 = -5(x-1)
y+9 = -5x+5
-9 -9
y = -5x-4
To transform the function

to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have

To transform the function

to have the midline

we need to subtract

by 4, so we have

,
To transform the function

to have period of

, we need to divide the original period

by 4, so we have

. Note that it is the

gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes
Hence, the full transformation is given

which is the last option
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.
<span>
D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.
Therefore, the correct answers are B and D.
For a regular polygon with n sides, interior angle
= [(n-2) × 180°]/n
So, interior angle of this regular heptagon shape
= [(7 - 2) × 180°]/7
= (5 × 180°)/7
= 900°/7
= (900/7)°
= 128.571° [approximately]
Answer:
333.3 meters per minute
Step-by-step explanation:
<u>The best way to solve this problem is using </u><u>dimensional anaysis</u><u>. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.</u>

<u>We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.</u>

<u>We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.</u>

<u>We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.</u>
= (20*1000*1)/(1*1*60) m/min
= 333.3 meters per minute