Let's check your answer. To do this, you would simply plug your answer into the equation and see if it works.
5(y - 3) - 2 (3 - 2y) = 6
5(3 - 3) - 2(3 - 2 × 3) = 6
The equation works!
Y = 3
Great work!
Step-by-step explanation:
sin∅=-3/4 in 4 quadrant which sine is negative there
using soh cah toa
sin=opp/hyp
where our opp=-3 and our hyp=4
using pythagoras theorem
hyp²=opp²+adj²
(4)²=(-3)²+adj²
16=9+adj²
16-9=adj²
adj²=7
adj=√7
from soh cah toa
cos∅=adj/hyp
cos∅=√7/4
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
A combination in this question, is combining 2 activities out of the 3.
The possible combinations are:
- Parade and Roller Coaster.
- Parade and Eat Ice Cream Cones.
- Roller Coaster and Eat Ice Cream Cones.
If you need the opposite order:
- Roller Coaster and Roller Coaster.
- Roller Coaster and Eat Ice Cream Cones.
- Eat Ice Cream Cones and Roller Coaster.
Hope This Helped! Good Luck!
Answer:
A
Step-by-step explanation:the lines do not cross therefor the two equations do not share a solution.
