Answer:
The correct answer is B. b=3a + 2
Step-by-step explanation:
Plug in the values from column A into each equation and find which one works. In this case, the only option that works is B.
Answer:
y = -1½x + 3 11⁄14
Step-by-step explanation:
First convert from <em>Standard Form</em> to <em>Slope-Intercept Form</em>:
2x - 3y = 4
-2x - 2x
____________
-3y = -2x + 4
___ _______
-3 -3
y = ⅔x - 1⅓ >> Slope-Intercept Form
↑
slope
Now, Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>Rate</em><em> </em><em>of</em><em> </em><em>Changes</em><em> </em>[<em>Slopes</em>], so since the slope is ⅔, the opposite multiplicative inverse of that would be -1½, or -3⁄2. Anyway, do the following:
4 = -1½[-⅐] + b
3⁄14
-3⁄14 - 3⁄14
_______________
3 11⁄14 = b
y = -1½x + 3 11⁄14 >> New equation
I am joyous to assist you anytime.
Answer:
first option
Step-by-step explanation:
solving the inequality
- 13 > - 5x + 2 > - 28 ( subtract 2 from each interval )
- 15 > - 5x > - 30
divide each interval by - 5 , reversing the symbols as a result of dividing by a negative quantity.
3 < x < 6
since the symbol is < then end values will be an open circle with the values between shaded blue, that is the first graph
Answer:
See below in bold.
Step-by-step explanation:
Let the length of the shortest side be x, then the longest side = 2x.
Also x + y = 2x + 1 where y = length of the middle side,
Simplifying:
2x - x - y = -1
x - y = -1 (A)
Also as the perimeter = 7:
x + 2x + y = 7
3x + y = 7 (B)
Adding (A) and (B):
4x + 0 = 6
x = 6/4 = 1.5
Plug x = 1.5 into equation B:
3(1.5) + y = 7
y = 7 - 4.5 = 2.5.
Answer:
So the shortest side = 1.5, middle = 2.5 and longest = 2*1.5 = 3.