Answer:
f(x)=-2(x+6)-12
Step-by-step explanation:
so the easiest one to do would be vertex form
f(x)=a(x-h)+k
so your vertex represents (h, k)
so plug in those values
f(x)=a(x- - 6) -12
now use the other point to solve for a
-24=a(0+6)+12
-24=6a+12
-12=6a
-2=a
The values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = <u>tanθ.cosθ</u>
cosθ = <u>sinθ/tanθ</u>
secθ = <u>1/cosθ</u>
cscθ = <u>1/sinθ</u>
tanθ = <u>sinθ/cosθ</u>
cotθ = <u>cosθ/sinθ</u>
<h3>Trigonometric functions </h3>
From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ
NOTE: tanθ = sinθ / cosθ
∴ sinθ = tanθ.cosθ
From above, we can write that
cosθ = sinθ/tanθ
Secant is the <u>inverse</u> of cosine
∴ secθ = 1/cosθ
Cosecant is the <u>inverse</u> of sine
∴ cscθ = 1/sinθ
tanθ = sinθ/cosθ
Cotangent is the <u>inverse</u> of tangent
∴ cotθ = 1/tanθ
But, tanθ = sinθ/cosθ
∴ cotθ = cosθ/sinθ
Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = <u>tanθ.cosθ</u>
cosθ = <u>sinθ/tanθ</u>
secθ = <u>1/cosθ</u>
cscθ = <u>1/sinθ</u>
tanθ = <u>sinθ/cosθ</u>
cotθ = <u>cosθ/sinθ</u>
Learn more on Trigonometric functions here: brainly.com/question/10316891
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X^2 + 6x - 7 =
(x + 7)(x - 1)
Setup
0.8x + 0.4y = 50
0.1x + 0.2y = 10 - Multiply by -2 and add
get
0.6x = 30
x = 50 mg compound A
.1 (50) + .2y = 10
5 + .2y = 10
.2y = 5
y = 25 mg compound B
Hey there!
Answer:
B. 3x + 4 ft.
Step-by-step explanation:
Remember that:
Perimeter of a rectangle: P = 2l + 2w
Given:
P = 8x + 8
w = x.
Plug the given information into the equation:
8x + 8 = 2l + 2x
Subtract 2x from both sides:
6x + 8 = 2l
Divide both sides by 2:
(6x + 8)/2 = 2l/2
3x + 4 = l.
Therefore, the length of the garden is:
l = 3x + 4 ft.
