Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
Answer:
elevation of 3,234 feet above sea level Positive
losing $32.50 Negative
depositing $230 in an account Positive
withdrawing $2,432 from an account Negative
2°C below 0°C Negative
10 floors above ground level Positive
Step-by-step explanation:
elevation of 3,234 feet above sea level Positive This is above ground
losing $32.50 Negative it is less than you had
depositing $230 in an account Positive putting money in
withdrawing $2,432 from an account Negative taking money out
2°C below 0°C less than 0
10 floors above ground level above 0
Answer: -7n^2-6n-8
Step-by-step explanation:
Answer:
$16, sorry if its wrong (im pretty sure i'm right tho)
Product is multiplication.
The first part would be x(6+8) , x times the sum of 6 plus 8.
The second part would be written as x^2, the square of x
Now combine to get:
x(6+8) * x^2