Answer:
y = 4
Step-by-step explanation:
Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.
-5 + 3y + -2y = -1 + 2y + -2y
Combine like terms: 3y + -2y = 1y
-5 + 1y = -1 + 2y + -2y
Combine like terms: 2y + -2y = 0
-5 + 1y = -1 + 0
-5 + 1y = -1
Add '5' to each side of the equation.
-5 + 5 + 1y = -1 + 5
Combine like terms: -5 + 5 = 0
0 + 1y = -1 + 5
1y = -1 + 5
Combine like terms: -1 + 5 = 4
1y = 4
Divide each side by '1'.
y = 4
Simplifying
y = 4
Answer:
y = 2x - 1
Step-by-step explanation:
Here we have the slope, m = 2, and one point on the line, (2, 3). Plugging these values into the point-slope formula y - k = m(x - h), we get:
y - 3 = 2(x - 2), or y = 3 + 2x - 4, or y = 2x - 1 in slope-intercept form.
You could first solve for y, assuming x is 0, and y = 6. Then solve for x, and that means y = 4.
Answer:
21 and 22
Step-by-step explanation:
Let's work backward from that 81%: x/25 = 0.81 yields x = 20.25. Nominally, 20.25 / 25 = 0.81, but x must be an integer. Let's round 20.25 off to 20.
Thus, if Kalsom got 81%, it was a result of his having done 20 questions correctly.
81% corresponds to 20 questions correct;
82% to 20.5 questions correct, or, rounding up, to 21 questions correct;
83% to 20.75, or 21;
84% to 21 questions correct; this is the only result that makes sense (whole number of questions answered correctly)
85% to 21.25;
86% to 21.5;
87% to 21.75;
88% to 22 questions correct (this makes sense, unlike the last three)
89% to 22.25;
90% to 22.5;
91% to 22.75;
Assuming that the number of questions correct MUST be integer, then the possible number correct are 21 and 22, corresponding to 84% and 88% respectively.
Answer:
105°
Step-by-step explanation:
180 minus 75 from angle 6 would give you angle 3.
