Answer:
The radius is 18 cm
Step-by-step explanation:
The formula for circumference with radius is
C = 2*pi*r
We know the circumference is 36 pi
36 pi = 2 * pi *r
Divide by pi
36 pi/pi = 2 * pi/pi *r
36 = 2r
Divide by 2
36/2 = 2r/2
18 = r
The new temperature is 60 degrees
<h2>
Answer:</h2>
√44
2 Real Roots
<h2>
Step-by-step explanation:</h2>
Looking at the image attached, the discriminant is the value under the square root.
In the equation given:
a = 1
b = -8
c = 5
The discriminant is therefore:
√(b²- 4ac) = √(-8²- (4*1*5)) = √(64-20) = √44
√44 is a positive number. Because it is positive, there must be 2 real roots.
If it were negative, there would be 2 imaginary roots.
If it were zero, there would be 1 real root.
Answer:
3y = 8x - 91
y = 8/3 * x - 30 1/3
Step-by-step explanation:
First we can find the slope of the second line.
Let's rewrite the equation as 8y=44-3x.
After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got
-9 = 8/3 * 8 +b
Now we need to solve the equation to find b
b =-91/3 or -30 1/3
