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:
The answer would be division (B)
Step-by-step explanation:
4x equals the total amount
x equals the cost of one item
Therefore you'd divide total cost by 4 and that would find the cost of one item
Answer:
x : y = 9 : 13
Step-by-step explanation:
Given that
3x - y : x + 2y = 2 : 5
Express the ratio in fractional form, that is
= 
( cross- multiply )
5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )
15x - 5y = 2x + 4y ( subtract 2x from both sides )
13x - 5y = 4y ( add 5y to both sides )
13x = 9y ( divide both sides by 13 )
x = 
y ( divide both sides by y )
= , that is
x : y = 9 : 13
Answer:
- (0, 26)
- (-6.5, 0)
Step-by-step explanation:
Turn the equation into slope-intercept form [ y = mx + b ].
y - 6 = 4(x + 5)
y - 6 = 4x + 20
y = 4x + 26
We know that b = y-intercept for the y-intercept is 26.
Substitute 0 for y to find the x intercept.
0 = 4x + 26
-26 = 4x
-6.5 = x
Best of Luck!
If you are doing any scientific notation to the negative power the answer will be a decimal. In this case you will move the decimal point four places to the left.
The answer will be 0.0002077
