Answer: x=90° y=43°
Step-by-step explanation: Right away you may be able to tell that x is a right triangle, which is 90°. Now, look at the two small lines cutting through some of the triangle. That means the sides are congruent, and that the bottom two angles are the same. So if angle C is 47°, then so is D. A triangle has 180° in total. So since we already have 47° and 90°, subtract 47 and 90 from 180 to get angle y.
Answer:
Function 1 has a greater slope and greater<em> y</em>-intercept than Function 2.
Step-by-step explanation:
Function 1
Slope: 1/3
<em>y</em>-intercept: 2
Function 2
Slope: -2/4
<em>y</em>-intercept: -2
Answer: 2 hours
Step-by-step explanation:
Given : Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively.
Let t be the time taken by both of them working together.
Then, according to the question, we have
![\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{2+1}{6}\ \ [\because\ L.C.M. (3,6)=6]\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{6}=\dfrac{1}{2}\\\\\Rightarrow t=2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B2%2B1%7D%7B6%7D%5C%20%5C%20%5B%5Cbecause%5C%20L.C.M.%20%283%2C6%29%3D6%5D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20t%3D2)
Hence, it will take 2 hours by the two machines .
1. The coefficient of x is the constant of variation. It is 40.
2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x
