Answer:
-(10/7)
Step-by-step explanation:
See attached graphic. The slope of the Green Line is cut off in the problem photo, but can be calculated from the graph to find the slope of the Red Line. The answer options are on drugs; pick the one that looks closest.
Toby should choose Project B because since there are equal number of the four colors of beads, you simply divide the total number of beads by four to get the number of one color of bead(re. green). 1020/4 = 255. Since Toby wants to use the project that uses an amount of beads under 260, Project B is the right choice.
Answer:
Let A (2a, 4a)
B(2a, 6a)
C (2a + sqrt (3a), 5a)
Side AC:
![\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-4a)^2 }=\sqrt{3a+a^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%282a%2B%5Csqrt%7B3a%7D-2a%29%5E2%2B%285a-4a%29%5E2%20%7D%3D%5Csqrt%7B3a%2Ba%5E2%7D)
Side BC:
![\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-6a)^2 }=\sqrt{3a+a^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%282a%2B%5Csqrt%7B3a%7D-2a%29%5E2%2B%285a-6a%29%5E2%20%7D%3D%5Csqrt%7B3a%2Ba%5E2%7D)
Hence AC = BC
It is an isoceles triangle.
Side AB:
![\sqrt{(2a-2a)^2+(6a-4a)^2 }=\sqrt{2a^2}=2a](https://tex.z-dn.net/?f=%5Csqrt%7B%282a-2a%29%5E2%2B%286a-4a%29%5E2%20%7D%3D%5Csqrt%7B2a%5E2%7D%3D2a)
It proves that the triangle is NOT an equilateral triangle.
Answer: The fraction that makes up Democrats or Republicans is 49/50.
Step-by-step explanation: There are 100 senators in total. We have 46/100 representing the Democrats, and 13/25 representing the Republicans. The number representing the Republicans can be made into an equivalent fraction of the other simply by multiplying both numerator and denominator by 4 (in order to make the denominator the same, that is 100). Hence the fraction of Republicans is 52/100, while the rest are Independents. The independents are
Ind = 100 - (46/100 + 52/100)
Ind = 100 - 98/100
Ind = 2/100
{Total = 46/100 + 52/100 + 2/100}
{Total = 100/100}
However, the fraction of all senators that are Democrats or Republicans is derived as follows;
Dems = 46/100
Reps = 52/100
Total fraction = 46/100 + 52/100
Total fraction = 98/100
Total fraction = 49/50
Answer:
y=-2/3x+13/3
Step-by-step explanation: