We have been given that Layana’s house is located at 
on a map. The store where she works is located at 
.
We are asked to find the distance from Layana’s home to the store
We will use distance formula to solve our given problem.
Let us convert our given coordinates in improper fractions.
Now we will use distance formula to solve our given problem.
Upon substituting coordinates of our given point in above formula, we will get:
Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.
Answer:
Triangle APB is an isosceles triangle ⇒ 3rd answer
Step-by-step explanation:
* Lets explain the how to solve the problem
- ABCD is a square
∴ AB = BC = CD = AD
∴ m∠A = m∠∠B = m∠C = m∠D = 90°
- DPC is equilateral triangle
∴ DP = PC = DC
∴ m∠DPC = m∠PCD = m∠CDP = 60°
- In the Δs APD , BPC
∵ AD = BC ⇒ sides of the square
∵ PD = PC ⇒ sides of equilateral triangle
∵ m∠ADB = m∠BCP = 30° (90° - 60° = 30) ⇒ including angles
∴ Δs APD , BPC are congregant ⇒ SAS
- From congruent
∴ AP = BP
∴ Triangle APB is an isosceles triangle
Answer:
9 times
Step-by-step explanation:
Area = length x breadth
area of picture not enlarged = 3 x 5 = 15in²
If length is tripled it becomes , 3 x 3 = 9in
If width is tripled, it becomes , 5 x 3 = 15in
Area of enlarged picture = 9in x 15in = 135in²
amount by which enlarged image is larger = 135in² /15in² = 9
Answer:
A
Step-by-step explanation:
Remember the order of operations and do what is in parenthses first.
Take 9 to its power first, then add 2. Once you get that, take that answer to the 83721 power.
I would give you the answer, but my calculator is saying invalid input every time I am trying to use such high exponents. Sorry :( But I hope that this helps
