Answer:
D
Step-by-step explanation:
Parallel lines have the same gradient.
A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.
If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.
AB= -1


Thus, option B is incorrect too.
Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.
Answer:
Step-by-step explanation:
- <em>Percent change is the difference in numbers divided by initial number converted to percent value.</em>
<u>Percent increase:</u>
<u>Percent decrease:</u>
- (70 - 50)/70*100% = 28.57%
<u>Compare:</u>
The complete question is
"What is the value of this expression when c= -4 and d= 10?
1/4 (c^3+d²)
A.2
B.9
C.21
D.41"
The value of this expression when c = -4 and d = 10 will be option B 9.
<h3>What is a simplification of an expression?</h3>
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
The given expression is

Hence, the value of this expression when c = -4 and d = 10 will be option B 9.
Learn more about an expression here:
brainly.com/question/1249625
#SPJ1
Answer:
8.75
Step-by-step explanation:
1 mile = 1.6 km
So, every 7 minutes, 1.6 km is ran.
Divide 1.6 by 2 to figure out how much more she is running.
1.6 / 2 = 0.8
Divide the known pace by the extra distance to figure out the time
7 min / 0.8 km = 8.75 min
Divide the price by the quantity:
Bananas = 5.40 / 6 = 0.90 each
Oranges = 2.56/8 = 0.32 each
Apples = 4.68 / 12 = 0.39 each
Mangos = 3.16 / 4 = 0.79 each
Oranges have the lowest price each so are the best buy.