Answer:
Step-by-step explanation:
If slope of two lines are equal, then they are parallel lines.
If product of the slope of two lines is (-1), then they are perpendicular lines.
C) y = x + 2
Slope m1 = 1
y = -x + 3
Slope m2 = -1
m1 * m2 = 1 * (-1) = -1
These are perpendicular lines.
D) y = 3x + 2
Slope = m1 = 3
y = 3x - 2
Slope = m2 = 3
Slopes are equal. So, they are parallel lines.
E)y= 3
This line is parallel to x -axis.
x = 4
This line is parallel to y-axis.
So, both lines are perpendicular to each other.
F) y = x + 8
slope m1 = 1
y = -x + 3
Slope = m2 = -1
M1 * m2 = 1 * (-1) = -1
So, These are perpendicular lines
Answer:
no rain today = 35%
Step-by-step explanation:
In probability, the Complement Rule states that the sum of the probability of an event and its complement must = 1
i.e
P( Event) + P (Complement) = 1
In this sense, we can think of the complement of an event as the "not-event". I.e the event does not happen.
In our case, the event = "rain today",
hence the complement will be = "not rain today" (i.e no rain today)
using the formula above, we are given that P(rain today) = 65% = 0.65
hence
0.65 + P(Complement) = 1
P(Complement) = 1 - 0.65 = 0.35 = 35%
The simplification form of the provided expression is 108 after applying the integer exponent properties.
<h3>What is integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an expression:
= 108
Thus, the simplification form of the provided expression is 108 after applying the integer exponent properties.
Learn more about the integer exponent here:
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Answer:
12(5x-2) = 60x-24
Step-by-step explanation:
The distributive property states that when multiplying a term with a sum multiply into each term within the sum. Here you have a sum. You’ll reverse the distributive property by factoring our a term which could multiply into each. 60x and 24 both have 12 as a factor. This makes the expression 12(5x-2) = 60x-24.
Answer:
-14 degrees Celsius
The temperature would be -14 degrees Celsius. 2 - 12 would be -14.
