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:
A = 9pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the diameter
r = d/2 = 6/2 = 3
A = pi (3)^2
A = 9pi
Answer:
2. 16
3. 46
4. 59
Step-by-step explanation:
5.The measure of smaller angle is 87 degrees.
Step-by-step explanation:
Consider the provided information.
The provided angles are 3x degree and 2x + 25 degree.
Two angles are said to be Supplementary angles if their sum is 180 degree.
It is given that the provided angle are supplementary angles, thus
3x + 2x + 25 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 31
Now, substitute the value of x in first angle i.e 3x.
3(31) = 93
Substitute the value of x in the second angle i.e 2x + 25
2(31) + 25 = 62 + 25 = 87
Hence, the measure of smaller angle is 87 degrees.
First, let's simplify these fractions so we can properly compare!
1/5 = 1/5
5/5= 1
5/1 = 5
Now, looking at our numbers we can conclude that 1/5, 5/5 and 5/1 are NOT equivalent to each other.
Hope this helps!
