Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m = 
= 
= 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
Answer:
9) 51 × 10⁻⁵ = 0.00051
10) Cash price = #54,000 × (1 - 0.125) = #47,250
11) -40·p·q÷(-2)² = -10·p·q
12) 0.003 × 0.045 = 1.35 × 10⁻⁴
13) N40°W = 320°
14) The base diameter of the cylinder = √(4 × (700×π cm³/7)/π) = 20 cm
15) The LCM of 2·x²·y, 3·x·y² is 12·x²·y²
16) 636,000 = 6.36 × 10⁵
17) 1/3·π·r²·h₁ = π·r²·h₂
h₂/h₁ = 1/3·π·r²/( π·r²) = 1/3
h₂/12 = 1/3
h₂ = 12/3 = 4 cm, the height of the cylinder = 4 cm
18) The angle = 180 + 45 = 225°
19) The total surface area = 22/7×14²/4 + 22/7 ×14 × 20 = 1034 cm²
20) The number is 58/2 = 29.
Step-by-step explanation:
Angles are formed by intersection of non-collinear lines, rays and planes.
<u>Part A</u>
<u>1. Contradictory Example</u>
A contradictory example to the given definition is that:
When the rays are collinear; the rays do not form an angle, but they form a line
<u>2. A more accurate definition</u>
A more accurate definition is that:
An angle is formed at the intersection of two non-collinear rays that have the same endpoint
<u>Part B</u>
<u>Example of an undefined term</u>
Undefined terms do not have a formal definition; an example is the plane.
A plane pertains to angles because it determines the parameter to be measured.
Read more about angles and undefined terms at:
brainly.com/question/1402901
Step-by-step explanation:
10p = 30
or, 10*3 = 30
Therefore , the value of p should be 3 to make the statement true.
I will take you the steps to obtain the slopes passing two points
step 1 : list the parameters
step 2: Apply the equation to obtain the slope between two points
