Answer:
5 1/3 or 5.33333333333333333333333333333333333333333333333333333
Step-by-step explanation:
to find the scale factor, you must divide the two equal sides.
which equals
or 0.75
Now, the way to get the value of x is to divide 4 by 3/4 0r 0.75
Which equals
5.333 repeating or 5 1/3
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
Answer:
r = 5sec(θ)
Step-by-step explanation:
The usual conversion is ...
y = r·sin(θ)
x = r·cos(θ)
__
The second of these can be used here.
r·cos(θ) -5 = 0
r·cos(θ) = 5
r = 5/cos(θ) = 5sec(θ)
A suitable polar equation is ...
r = 5sec(θ)
The missing numbers are 12, 1.5, and 0.75 because it gets divided by 2 (or multiplied by 0.5) each time.
hope this helps.
The values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
<h3>How to rewrite in vertex form?</h3>
The equation is given as:
f(x) = x^2 + 12x + 6
Rewrite as:
x^2 + 12x + 6 = 0
Subtract 6 from both sides
x^2 + 12x = -6
Take the coefficient of x
k = 12
Divide by 2
k/2 = 6
Square both sides
(k/2)^2 = 36
Add 36 to both sides of x^2 + 12x = -6
x^2 + 12x + 36= -6 + 36
Evaluate the sum
x^2 + 12x + 36= 30
Express as perfect square
(x + 6)^2 = 30
Subtract 30 from both sides
(x + 6)^2 -30 = 0
So, the equation f(x) = x^2 + 12x + 6 becomes
f(x) = (x + 6)^2 -30
A quadratic equation in vertex form is represented as:
f(x) = a(x - h)^2 + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-6,-30)
Hence, the values of h and k when f(x) = x^2 + 12x + 6 is in vertex form is -6 and -30
Read more about quadratic functions at:
brainly.com/question/1214333
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Answer:
cos 45 degree = A/H
cos 45 degree = 2 square root 2 / x
x = 2 square root 2 / cos 45 degree
x = 4
Sin 45 degree = O/H
Sin 45 degree = y/ 4
4 x Sin 45 degree = y
y = 2.83
or
we could use tan
tan 45 degree = O/A
tan 45 degree = y / 2 square root 2
2 square root 2 x tan 45 degree = y
y = 2.83
i hope this would elp a little bit.
