Answer: (B) y - 3 = 2(x - 1)
<u>Step-by-step explanation:</u>
The Point-Slope formula is: y - y₁ = m(x - x₁) where
- m is the slope
- (x₁, y₁) is any point on the line
It is given that the slope (m) is 2 and a point on the line (x₁, y₁) is (1, 3), so the equation is: y - 3 = 2(x - 1)
Answer:
1
Step-by-step explanation:
They are called relation symbols
they tell how something relates to something else
greater than tells ou that the the result must be more than, but not eqal to that numberd so example, we have to have something that flys higher than that bridge (100ft) but it cannot fly 100 or else it will crash
less than tells you that you must be less than, but not euqal to. example
this thing must be less than 7 feet tall to fit under the doorway, it cannot be 7 feet or else it wont fit
equal to is an exact amount, nothing more or less
we have to have a screw that is this big, nothing more or less
less and greater than is nice since if you found a solution and you wanted to notate it, example
if the naswer is any number less than 10, it would be nicer to write x<10 instead of listing all numbers less than 10 since they could get very close example 9.999999999 forever
greater is the same, any number bigger than 30, you woul dhave to include 30.0000000001 and smaller which is hard, but with the x>30, it is easier
the equals just shows equality, this is equal to this, period
Answer:
The length of segment DA is 15 units
Step-by-step explanation:
- <em>The segment which joining a vertex of a triangle and the midpoint of the opposite side to this vertex is called a median </em>
- <em>The point of intersection of the median of a triangle divides each median into two parts the ratio between them is 1: 2 from the base, which means </em><em>the length of the median is 3 times the part from the base</em><em> </em>
Let us use this rule to solve the question
In Δ AEC
∵ D is the midpoint of EC
∴ AD is a median
∵ B is the midpoint of AC
∴ EB is a median
∵ F is the midpoint of AE
∴ CF is a median
→ The three medians intersected at a point inside the triangle,
let us called it M
∵ AD ∩ EB ∩ CF at M
∴ M is the point of intersection of the medians of Δ AEC
→ By using the rule above
∴ AD = 3 MD
∵ MD = 5
∴ AD = 3(5)
∴ AD = 15 units
