Answer:
f
(
x
)
=
3
cos
(
2
x
)
+
2
EXPLANATION:
We are able to use the transformation formula
f
(
x
)
=
a
⋅
cos
(
x
−
h
b
)
+
k
. You start with
f
(
x
)
=
cos
(
x
)
and replace
a
with the desired amplitude,
h
with the desired horizontal shift, and
k
with the desired vertical shift. This leaves out the
b
-value. A regular cosine function has a period of
2
π
. If you want a period of
π
, since that is one half of the original period, you need to replace your
b
with a
1
2
.
This is about how it would work out.
f
(
x
)
=
3
⋅
cos
(
x
−
0
1
2
)
+
2
From there you simplify your equation giving you
f
(
x
)
=
3
cos
(
2
x
)
+
2
x + 90 = 7x
90 = 7x - x
90 = 6x
x = 90/6
x = 15
Result x = 15
Measure of each angle = 15 + 90
= 105
a) x = 15
b) angle = 105°
Second problem
a= Complementary
b) 90°
c) x = 90 - 37
x = 53°
You need to use all of them until you find the answer so lets fo this!
a. (-10,-12) x=-10 y=-12
3x+2y=6
3*(-10)+2*(-12)=6
-30-24=6
-54=6
This is incorrect,now we try the othe options
b.(10,12) x=10 y=12
3x+2y=6
3*10+2*12=6
30+24=6
54=6
This is incorrect then we try the other option
c. (-10,12) x=-10 y=12
3x+2y=6
3*(-10)+2*12=6
-30+24=6
6=6
And this is the correct answer. So the answer is c. (-10,12)
The width of the square garden is 4 feet
<h3>How to determine the width of the garden?</h3>
The area of the garden is given as:
x^2 + 20x + 75 = 171
Subtract 171 from both sides
x^2 + 20x - 96 = 0
Expand
x^2 + 24x - 4x - 96 = 0
Factorize
x(x + 24) - 4(x + 24) = 0
Factor out x + 24
(x - 4)(x + 24) = 0
Solve for x
x = 4 or x =-24
The width of the garden cannot be negative.
So, we have:
x = 4
Hence, the width of the garden is 4 feet
Read more about area at
brainly.com/question/24487155
#SPJ1
18 cups in 9 pints because
their are 2 pints in a gallon and 2 cups
in one pint so ...
each pint has 2 in it so we do
9x2=18 cups
I hope this helps
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