Hi there! :)
<u>Answer:</u>
r ≤ 2.5
Step-by-step explanation:
<u>-2</u>(r - 3) + 7 ≥ 8
Distribute the "-2" to the entire parentheses → -2 × r = <u>-2r</u> & -2 × -3 = <u>6</u>
-2r <u>+ 6</u> <u>+ 7</u> ≥ 8
Add the similar terms together → 6 + 7 = <u>13</u>
-2r <u>+ 13</u> ≥ 8
Subtract "13" from each side of the inequality → 8 - 13 = <u>-5</u>
<u>-2</u>r ≥ -5
Divide each side of the inequality by "-2" → -5 ÷ -2 = <u>2.5</u>
<u>r ≤ 2.5</u> ⇒ Whenever you divide an inequality by a negative number, you must flip the inequality sign!!
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
0 = 7x-6y -99
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 7/6x+b
Using the point
-6 = 7/6(9) +b
-6 = 7*3/2 +b
-6 = 21/2 +b
Subtract 21/2 from each side
-12/2 -21/2 = b
-33/2 = b
y= 7/6x -33/2
Multiply each side by 6
6y = 7x - 99
Subtract 6y from each side
0 = 7x-6y -99
The answer is: 36
Because, bisecting the base of the triangle gives of two segments of five. This forms two triangles with base of 5 and altitude (in this case height) of 12. There exists a special pythagorean triplet triangled named 5-12-13 meaning if you have a right triangle with two of these sides then the unknown side is the number left out. In this case, the altitude forms a right angle on the base which allows the sides of the big isocs. triangle to be 13 giving us 13 + 13 + 10 to be the perimeter = 36.
Answer:
x and y is the domain of this graph