Answer:
x = 165, y = 15
Step-by-step explanation:
1. Well, what does supplementary mean? - The angles add up to 180°.
2. Let's form an equation: x + y = 180°
3. Let's say x is the larger angle and y is the smaller angle.
4. Let's form another equation: x = 150 + y
5. Put the two equations next to each other:
x + y = 180
x = 150 + y
6. We know what x is equaled to, so let's plug it into the first equation!
150 + y + y = 180
150 + 2y = 180
-150 -150
2y = 30
y = 15
7. Now, we know what y is, let's find x!
x + 15 = 180
-15 -15
x = 165
Answer:
centre = (2, 4)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 4x - 8y - 5 = 0
Rearrange the x/y terms together and add 5 to both sides
x² - 4x + y² - 8y = 5
Use the method of completing the square on both the x/y terms
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16
(x - 2)² + (y - 4)² = 25 ← in standard form
with centre (2, 4) and r =
= 5
Answer:
(4, -1)
Step-by-step explanation:
(4, y) is a solution to x - 2y = 6.
Find the value of y:

The value of y is '-1'.
(4, -1) is a solution to the equation.
Hope this helps.
Answer:
cos=24/25
tan=7/24
Step-by-step explanation:
sin=opposite/hypotenuse
therefore 7 is the opposite and 25 is the hypotenuse.
using pythagorean theorem we can find the adjacent. i.e hypotenuse squared= sum of adjacent squared and opposite squared.
h^2= a^2+ O^2
25 squared - 7 squared= 576
which is equal to 24 squared.
therefore adjacent=24
cos=adjacent/hypotenuse
cos=24/25
tan=opposite/adjacent
tan=7/24.