Answer:A
Step-by-step explanation:
Answer:
Eka served about 1,047 pints of punch at the party
Step-by-step explanation:
Total pints of grape and cranberry juices mixed = 767 + 315 = 1052 pints
Number of pints left over = 5 pints
Number of pints served = (Number of pints mixed) - (Number left over)
Number of pints served = 1052 - 5 = 1,047 pints
Eka served about 1,047 pints of punch at the party
Uhh, answer choices?
In any case, since
is inscribed in a semicircle, it is a right triangle (due to the inscribed angle theorem). Thus, by the Pythagorean theorem,
Now, the circumradius of a right triangle (the radius of the circle passing through all three of its vertices) is simply half its hypotenuse, so ![OJ=OK=OL=\frac{\sqrt{157}}{2}\approx \boxed{6.265}.](https://tex.z-dn.net/?f=OJ%3DOK%3DOL%3D%5Cfrac%7B%5Csqrt%7B157%7D%7D%7B2%7D%5Capprox%20%5Cboxed%7B6.265%7D.)
Given:
The point W(5,-4) is reflected over the x-axis.
To find:
The coordinates of the point W' after the reflection.
Solution:
If a point is reflected across the x-axis, then
![(x,y)\to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2C-y%29)
Using this rule of reflection, we get
![W(5,-4)\to W'(5,-(-4))](https://tex.z-dn.net/?f=W%285%2C-4%29%5Cto%20W%27%285%2C-%28-4%29%29)
![W(5,-4)\to W'(5,4)](https://tex.z-dn.net/?f=W%285%2C-4%29%5Cto%20W%27%285%2C4%29)
The coordinates of the point W' are (5,4). The correct option is C.
Answer:
m = ( y-c)/x
Step-by-step explanation:
y = mx+c
Subtract c from each side
y-c = mx+c-c
y-c = mx
Divide each side by x
(y-c)/x = mx/x
(y-x)/x = m