Because in an equilateral triangle all angles should measure 60 degrees otherwise all sides would not be equal.
R=7 because you would do -49 divided by -7
Answer: (Mayadc821 wrote this anwser check theyre account for more)
Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:
y = mx + b
-10 = m(1) + b
m + b = -10
b = -10 - m
Now that we have a value for b, we can plug this into the other equation:
8 = m(-8) + b
8 = -8m + (-10 - m)
8 = -9m -10
18 = -9m
m = -2
Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:
b = -10 - m
b = -10 -(-2)
b = -10 + 2
b = -8
Our final equation is y = -2x - 8
Answer:
The quadratic equation is X^2 -26X +144=0
Step-by-step explanation:
You can do it shortly by using the formula
X^2-(sum)x+ product
which will give you
X^2- (8+18)x+8×18
=X^2 -26x +144
=X^2 -8x-18x + 144
=(X^2-8x)(-18x+144)
=X(X-8)-18(x-8)=0
(X-18)(X-8)=0
X-18=0 And X-8=0
X=18 X=8
. Therefore the quadratic equation is X^2 -26X +144
Answer:
Option C is correct
Volume of coffee in the thermos is, 150.8 cubic inches
Step-by-step explanation:
Volume of the cylinder is given by:
Where
V is the volume of the cylinder
r is the radius
h is the height of the cylinder respectively
As per the statement:
A thermos in the shape of a cylinder is filled with coffee.
the height of the cylinder is 12 inches and its radius is 2 inches
⇒ h = 12 inches and r = 2 inches.
Substitute the given values and use in [1]
then;
Simplify:
V ≈150.8 inches.
Therefore, the volume of coffee in the thermos is, 150.8 cubic inches