Answer:
So, the arc length is 
Step-by-step explanation:
We are given
diameter =36m
so, we can find radius
and angle as
Since, it is in degree
so, we can change it in radian
now, we can find arc length
now, we can plug values
Answer: 28x + 15y = 131 and x + y = 7 where x is the number of Dress shirt and y is the number of T-shirt.
Step-by-step explanation:
We will represent the number of Dress shirt he bought by x and we will represent the number of T-shirt he bought by y.
We know that he spent 131 so the cost of each dress shirt plus the cost of each T-shirt has to equal 131. Also, he bought 7 total shirts so x plus y has to equal 7.
28x + 15y = 131
x + y = 7
Note: it says don't solve so I didn't solve but if you want to solve use these equations.
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
The answer is C and D
First we must make one side of the equation zero, so we subtract 7 on both sides of the equation, making the equation 9x^2 - 6x - 6 = 0
Then we will use the quadratic formula to find the answers.
using the Quadratic Formula where:
a = 9, b = -6, and c = -6
and the formula is 6 +- 
For this case we have that by definition, the line equation of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the statement we have:
Thus, the equation is of the form:
We substitute the given point and find "b":
Finally, the equation is of the form:
Answer:
