Answer:
Y=-3/2x-4
Step-by-step explanation:
Point slope form is
y=mx+b
mx is the slope
and b is the y-intercept
The first picture would be choice answer c because the number of x's represent how many birds wings are this size. The number on the tic mark represents the size of the wing span. So you would take the number of x's times the tic mark represented under it. There are 3 birds with 3 1/8 wingspan so it wold be 3 1/8 *3. Hoped this helps for the first one!
Let us start subtracting 3 cos theta both sides so that we may get all theta terms on left side only
It is now : 4 cos theta - 3 cos theta = - (sqrt3)/ 2
1 cos theta = -( sqrt 3 ) /2
we know cos (pi-x)= - cos x And cos (pi+ x)= - cos (x)
********* let us first use :
- Cos ( pi - theta) = - ( sqrt 3 )/2
this implies cos (pi- theta )= (sqrt 3) /2
cos ( pi - theta )= cos (pi /6)
pi- theta = pi/6
pi- pi/6 = theta
5 pi/6 = theta
one of teh answer is 5 pi/6 . another value of theta would be :
(2pi - 5pi/6)= 7pi/6
Answer: 5 pi/6 and 7 pi/6
Answer:
x = -14
Step-by-step explanation:
The expression to write in this problem is:
"the sum of x and 12 equals the sum of half of x and 5"
We have:
- The sum of x and 12 is: 
- The sum of half of x and 5 is: 
So, the equation to write in this problem is
We solve it as follows:
1) First, we subtract 
from both sides, and we get
2) Then, we subtract 12 from both sides:
3) Now we multiply both sides by 2:
So, this is the solution.
Answer:
LCD is 60
Step-by-step explanation:
Equivalent Fractions with the LCD
1/2 = 30/60
1/3 = 20/60
1/4 = 15/60
1/5 = 12/60
Rewriting input as fractions if necessary:
1/2, 1/3, 1/4, 1/5
For the denominators (2, 3, 4, 5) the least common multiple (LCM) is 60.
LCM(2, 3, 4, 5)
Therefore, the least common denominator (LCD) is 60.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
1/2 = 1/2 × 30/30 = 30/60
1/3 = 1/3 × 20/20 = 20/60
1/4 = 1/4 × 15/15 = 15/60
1/5 = 1/5 × 12/12 = 12/60
