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:
Y = 6
X = 24
Step-by-step explanation:
2x -5y = 16
(x -2y =5)*2
_______________
2x -5y = 16
2x - 4y = 10
_______________
(2x -5y = 16) - (2x - 4y = 10)
_______________
0x -y = 6
_______________
y =6
_______________
Replacing in equation 1:
2x - 5(6) = 16
so, 2x = 16 + 30
2x = 48
x = 24
Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= 7y - 4x
Answer:
B) shifts the line 4 units down
Step-by-step explanation:
The point (x, f(x)) is moved to the point (x, f(x)-4), one with a y-coordinate 4 units lower. The line is shifted down 4 units.
32% i believe because i added 4 an 2 together from the spinner an coin an got 6 the i divided 1 by 6 to get .16 and then doubled it because the precents before that doesnt matter if your looking for a specific combination