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KatRina [158]
3 years ago
9

How do I solve this?

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0
\bf 4sin(\theta)+1=3\implies 4sin(\theta)=2\implies sin(\theta)=\cfrac{2}{4}
\\\\\\
sin(\theta)=\cfrac{1}{2}\implies sin^{-1}[sin(\theta)]=sin^{-1}\left( \cfrac{1}{2} \right)\implies \theta=sin^{-1}\left( \cfrac{1}{2} \right)
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Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co
ycow [4]

Answer:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

y= x^2 -6x +14

We can complete the square like this:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

4 0
3 years ago
Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.
AnnyKZ [126]
Circumference is Diameter * 3.14

so D * 3.14 = 31.4

31.4 / 3.14 = 10 so the diameter is 10.

the radius is half of the diameter so radius = 5 centimeters.
4 0
2 years ago
Read 2 more answers
X+y=12<br> 3x = 2y + 6<br> system of elimination
Tasya [4]

Answer:

(x,y)=(6,6)

Step-by-step explanation:

there you go

3 0
3 years ago
Find each function value<br><br>1. f(7) if (x)=5x<br><br>2. f(4) if f(x)=3x-1
Inessa [10]

<u>ANSWER</u>

1. \:  \: f(7) = 35

2. \: f(4) = 11

<u>EXPLANATION</u>

To find the value of a function, f(x) at a given value x=a, we plug in x=a into f(x) to obtain f(a) in simplified form.

The first function is

f(x) = 5x

To find f(7), we substitute x=7, into the function.

\implies f(7) =5(7) =  5 \times 7 = 35

The second function is

f(x) = 3x - 1

To find f(4), we replace x with 4 to obtain,

f(4) = 3(4) - 1

f(4) = 12 - 1 = 11

6 0
3 years ago
PLZ HELP
anastassius [24]

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

8 0
2 years ago
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