Answer:
C. Infinite solutions
Step-by-step explanation:
I'll use the equal value method and make the second equation equal 6 instead of 18, so I have to divide the entire equation by 3
(6x+15y=18)/3 = 2x +5y = 6
The second equation is the same thing as the first one, meaning no matter what value they will equal the same thing, also meaning there are infinite solutions
Answer:
Option B is correct.
The estimated perimeter of an ellipse is 37.3ft
Step-by-step explanation:
<u>Given:</u>
Length of Major-axis (2a)=15ft
Length of minor-axis (2b)=7.5ft
For an ellipse, the perimeter (P) approximately given by:
, where a and b are semi major axis and semi minor axis respectively.(Use approx. value of
)
Here, a=7.5ft and b=3.75ft, putting in above equation, we get




After solving the square-root we get,

.
Therefore, the estimated perimeter of an ellipse is 37.3ft.
Answer:
x=12
Step-by-step explanation:
It is a textbook 3:4:5 triangle. The hypotenuse is 15 (5*3), and the base is 9 (3*3). Since they both share a common factor of 3, the 3rd side would be 4*3, which is 12.
Answer:
Option C (2.5, 1) is the right alternative.
Step-by-step explanation:
The given points are:
A = (-1, 5) = (x₁, y₁)
B = (6, -3) = (x₂, y₂)
Now,
The midpoint on X-axis is:
= 
= 
= 
= 
The midpoint on Y-axis is:
= 
= 
= 
= 
= 
Thus the midpoint of AB is "2.5, 1".
Alright. It seems like the triangle that has the 45 degree angle with angles c & d is an isosceles triangle which meas two sides are equal.
If that is true, angle d would be 45. Add 45 and 45 together to get 90, which is angle c. The angle right across from c, a, will be 90 as well. Add 90 and 45 to get 135 and then do 180 - 135 to get angle b. Angle b should equal 45 as well. So adding each of the angles together, 90 + 45 + 90 + 45 = 360
Your final answer is 360.