(4, -5) is the last vertex of the rectangle.
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: 59 feet
Step-by-step explanation:
First the sea turtle descended 28 feet.
It then ascends 5 feet which means it is now:
= 28 - 5
= 23 feet below surface
It then descends 9 feet and repeats that descent 4 time:
= 9 * 4
= 36 feet below the surface
Total distance below the surface:
= 23 + 36
= 59 feet
Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)
Answer:
7. 6x³ - 12x² + 12x + 15
Step-by-step explanation:
(3x-6)(2x² - 4x - 5)
3x • 2x² = 6x³
3x • -4x = -12x²
3x • -5 = -15
-6 • 2x² = -12x²
-6 • -4x = 24x
-6 • -5 = 30
combine terms
6x³ - 12x² - 15 - 12x² + 24x + 30
combine like terms
6x³ - 24x² + 24x + 15
hope this helps :)
in the future, only ask one question per brainly submission. thanks!