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 to your question is below
Step-by-step explanation:
Question 1
x = 5 Equation l
2x + y = 10 Equation ll
- Substitute Equation l in equation ll
2(5) + y = 10
y = 10 - 10
y = 0
- Solution (5, 0)
Question 2
x + 16y = 20 Equation l
x = 4y Equation ll
Substitute equation ll in equation l
4y + 16y = 20
20y = 20
y = 20/20
y = 1
-Find x
x = 4(1)
x = 4
-Solution
(4, 1)
Question 3
2x + 8y = 20 Equation l
x = 2 Equation ll
-Substitute equation ll in equation l
2(2) + 8y = 20
4 + 8y = 20
8y = 20 - 4
8y = 16
y = 16/8
y = 2
- Solution
(2, 2)
Answer:
15
Step-by-step explanation:
okay so you gotta use pemdas (p = parentheses, e = exponents, m = multiplication, d = division, a = addition, s = subtraction), but for the multiplication/division and addition/subtraction parts, if division or subtraction happens first then you must do it first rather than doing multiplication or addition first
10 / 2 -(16/4) + 14
10 / 2 -(4) + 14
5 - 4 + 14
1 + 14
15
(6, 2 )
substitute x = 5 into the equation and solve for y
6y + 8 = 20 ( subtract 8 from both sides )
6y = 12 ( divide both sides by 6 )
y = 
= 2
the ordered pair is (5, 2 )
Answer:
surface area of the smaller figure ≈ 1474.64 m²
Step-by-step explanation:
The figures are similar base on the question . The surface area and the volume of the larger figure is given while only the figure of the smaller figure is given.
To find the surface area of the smaller figure we simply use the ratios. That is the scale factors.
Therefore, they are similar figure the scale factor can be represented as a:b.
The scale factor for volume is cubed.
volume of larger figure/volume of the small figure = a³/b³
4536/2625 = a³/b³
a/b = 16.5535451/13.7946209
Note that for two similar solid with scale factor a:b the surface area ratio is a²: b² (the scale factor is square)
16.55²/13.79² = 2124/x
273.9025/190.1641 = 2124/x
cross multiply
273.9025x = 403908.54840
x = 403908.54840/273.9025
x = 1474.6435261
x ≈ 1474.64 m²
