Answer:
Step-by-step explanation:
(-5,5)...x1 = -5 and y1 = 5
(5,-4)...x2 = 5 and y2 = -4
slope = (y2 - y1) / (x2 - x1)
slope = (-4 - 5) / (5 - (-5) = -9 / (5 + 5) = -9/10 <==
Answer:
Width = 16(√5) - 1
Step-by-step explanation:
We are told that the golden rectangle is 32 cm long.
Thus, length = 32 cm
We are also told that the ratio of the length to the width is; (1 + √5):2
Thus;
If a length of (1 + √5) yields a width of 2
Then, a length of 32 cm would yield a width of; (32 x 2)/(1 + √5)
So corresponding width = 64/(1 + √5)
We want to reduce this width to it's simplest radical form which means the denominator should have no square root.
Thus, let's multiply top and bottom by (1 - √5);
Width = 64 x (1 - √5)/[(1 + √5) x (1 - √5)]
Width = 64(1 - √5)/(1 - 5)
Width = 64(1 - √5)/(-4)
Width = -16(1 - √5)
Width = 16(√5 - 1)
Width = 16√5 - 1
<em>There are 10.53 quarts in 5, 2-liter sodas Fernando purchased.</em>
<em />
If Fernando purchased 5 2-liter sodas, this means that he has 10 liters in total of sodas with him.
If there exists 1 quart in 0.95 liters, then there will exist, say, x quarts in 10 liters. We can create an equation from this so that...
If you cross multiply, you have that
1 quart * 10 liters = x quarts * 0.95 liters
x quarts = (1 quart * 10 liters) / 0.95 liters
x quarts = 10/0.95
x quarts = 10.53
This means that there are 10.53 quarts in 10 liters of soda that Fernando purchased.
Learn more here brainly.com/question/11018135
Answer:
Step-by-step explanation:
The 12th term is gotten by replacing ń in the equation with 12. Hence,
a(12)= - 5+6(12-1)
Solving the bracket first by BODMAS,
a12= - 5+6(11)
Opening the bracket,
a12=-5+66
a12=66-5
a12=61
The answer is d they are alternate exterior angles. glad to be of help