Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = 
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * 
& (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
![y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2](https://tex.z-dn.net/?f=y%20-%20%28-7%29%20%3D%20%5Cfrac%7B5%7D%7B6%7D%28x%20-%20%5B-6%5D%29%5C%5C%5C%5Cy%20%2B%207%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B%206%20%2A%5Cfrac%7B5%7D%7B6%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B5-7%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B6%7Dx-2)
Answer:
Step-by-step explanation:
As according to PEMDAS, the step you should do first is (4+16) since it is in parentheses. Then, you do multiplication and division (order does not matter really, the two operations are on the same level so you just solve left to right) and addition and subtraction (order does not matter really, the two operations are on the same level so you just solve left to right).
Multiples that are shared by two or more numbers are COMMON MULTIPLES.
The least common multiple (LCM) is the smallest common multiple of two numbers, other than 0.
multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
multiples of 6: 6, 12, 18, 24,30,36,42,48,54, 60
the common multiples of 3 and 6 are 6, 12, 18, 30
the least common multiple of 3 and 6 is 6.
Answer:
x = 19
Step-by-step explanation:
A circle has a total of 360 degrees. Because central angles are congruent to the degree measures of their arcs, and because of vertical angles we can construct the equation :
5x+37+5x+37+3x-9-9=360
We can simplify this to :
8x+28=360
Subtract 28, divide 8, and x is 19
