Answer:
y = -x + 4
Step-by-step explanation:
x + y = 6 => y = -x + 6
The line that parallel to y = -x + 6 has same slope so m = -1
Using coordinates (-4,8)
y = mx + b
8 = (-1)(-4) + b
8 = 4 + b
b = 4
then y = -x + 4
Answer:
5
Step-by-step explanation:
4(2a + 3) = 2a + 12
4(2a + 3) = 6a + 7
4(2a + 3) = 8a + 12
We want to see which one of the given expressions demonstrates the distributive property.
The correct option is the last one:
4*(2a + 3) = 8a + 12
The first thing we need to do is define the distributive property. It can be written as:
A*(B + C) = A*B + A*C
Now let's apply this to the given expression:
4*(2a + 3) = 4*(2a) + 4*3 = 8a + 12
Then we have:
4*(2a + 3) = 8a + 12
This is what we can see in the fourth option, then the correct option is the fourth one (counting from the top):
4*(2a + 3) = 8a + 12
If you want to learn more, you can read:
Cot² x - tan² x = 1 is not true for all the values of x, where x is a trigonometric angle.
Trigonometric angles are the ratios of trigonometric functions.
If we consider a right-angle triangle with an angle between base and hypotenuse is Ф then:
tan Ф = (height/base), and
cot Ф = 1/tan Ф = base/height
Given, Cot² x - tan² x = 1
This is not true for all the values of x. Here, x is a trigonometric angle.
If we take x = 45°, then: Cot² x - tan² x = (1)² - (1)² = 0.
Hence, the statement is not true for all the values of x.
Learn more about trigonometric angles here: brainly.com/question/14235900
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