Answer: option a. 5.46
Explanation:
The side lengths of the golden rectangle are in the proportion:
1
--------------------
golden number
The golden numbrer is:
1 + √5
-----------
2
So, the ratio is:
1
--------------
1 + √5
---------
2
And, using the properties of the division of fractions, that is equivalent to:
2
-------------
1 + √5
So, since you have thhe given side = 9, you can set the proportion, to find the unknown lenght, s:
2 s
--------- = ---------
1 + √5 9
And you can solve for s:
s = 9 * 2 / (1 + √5) ≈ 18 / (1 + 2.236) = 18 / (3.236) ≈ 5.56.
Which is the option a. 5.56
Answer:
Domain: {-2, -1, 0, 1, 2}
Range: {-5, -1, 3, 7, 11}
Step-by-step explanation:
Given the function, f(x) = -4x + 3:
We could simply substitute the given x-values into the function to solve for its corresponding y-values:
x = -2:
f(-2) = -4(-2) + 3
f(-2) = 8 + 3
f(-2) = 11
x = -1:
f(-1) = -4(-1) + 3
f(-1) = 4 + 3
f(-1) = 7
x = 0:
f(0) = -4(0) + 3
f(0) = 0 + 3
f(0) = 3
x = 1:
f( 1 ) = -4( 1 ) + 3
f( 1 ) = -4 + 3
f( 1 ) = -1
x = 2:
f(2) = -4(2) + 3
f(2) = -8 + 3
f(2) = -5
Attached is a screenshot of the table containing the same solution displayed in this post.
The formula of a midpoint:
We have
Substitute:
Answer: (0.5, 1).
Answer:
y = -6x - 10
Step-by-step explanation:
(-2, 2), m = -6
Slope-intercept:
y - y1 = m(x - x1)
y - 2 = -6(x + 2)
y - 2 = -6x - 12
y = -6x - 10
Answer:
the answer is 36!
Step-by-step explanation:
first, use the order of operations.
Parentheses
Exponents
Multiplying
Dividing
Addition
Subtraction
First, inside of parentheses. 3*2=6
then the exponent, which is 6*6, which equals 36.
The answer is 36. Hope this helped! Also would you mind marking brainliest? you don't have to. :D