Answer:
<u>25/7, 1.87, </u><u>3.25</u><u>,</u><u> </u><u>and</u><u> </u><u>2</u><u>2</u><u>/</u><u>7</u>
Step-by-step explanation:
16 < 15x - 12
__________
+12. +12
__________
28 < 15x
__________
÷15 ÷15
__________
28/15 < x
__________
<u>x > 28/15</u>
__________
this is true for any number greater than 1 and 13/15 = 1.8666......
The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
Learn more about about equation of perpendicular lines on:
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Answer:
32 cm^3
Step-by-step explanation:
The cube is 4 across by 4 high by 2 wide
4*4*2 = 32 cm^3
Answer:
More than means addition and product means multiplication. Therefore, seven more than the product of three and x would mean multiplying 3 and x together then adding 7 to that. Or, 3x + 7.
Step-by-step explanation:
- abc + 7abc - 3bc - 8abc
= 6abc - 3bc - 8bc
= -2abs - 3bc
Therefore
- 2abc - 3bc.
:)