345= 3 hundreds, 4 tens, and 5 ones
391= 3 hundreds, 9 tens, and 1 one
You can use the model I attached to help u see it better.
Hope this helps!
Here are the unit rates involved:
$7.68 / 1 case = $7.68 per case
$7.68 / 24 cans = $0.32 per can
1 case / $7.68 = 0.13 case per $
24 cans / $7.68 = 3.125 cans per $
And of course ...
24 cans / 1 case = 24 cans per case
1 case / 24 cans = 0.041666... case per can
Answer:
10. y=2x+1 y = -1/2x +1
11. y=-1/3x +6 y = 3x -4
12. y=-5x-18 y=1/5x + 14/5
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.
10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.
Parallel Perpendicular
(y-1)=2(x-0) (y-1)==-1/2(x-0)
y-1=2x y-1 = -1/2 x
y=2x+1 y = -1/2x +1
11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.
Parallel Perpendicular
(y-5)=-1/3(x-3) (y-5)=3(x-3)
y-5=-1/3x+1 y-5 = 3x - 9
y=-1/3x +6 y = 3x -4
12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.
Parallel Perpendicular
(y-2)=-5(x--4) (y-2)=1/5(x--4)
y-2=-5(x+4) y-2 = 1/5(x +4)
y-2=-5x -20 y-2 = 1/5x +4/5
y=-5x-18 y=1/5x + 14/5
<em><u>QUESTION</u></em><em><u> </u></em><em><u>:</u></em><em><u> </u></em><em><u>></u></em><em><u> </u></em><em><u>FIND </u></em><em><u>THE </u></em><em><u>ARE </u></em><em><u>OF </u></em><em><u>THE </u></em><em><u>TRIANGLE </u></em><em><u>WITH </u></em><em><u>THE </u></em><em><u>FOLLOWING </u></em><em><u>COORDINATES.</u></em>
<em><u>A.</u></em><em><u> </u></em><em><u>(</u></em><em><u>-</u></em><em><u>5</u></em><em><u>,</u></em><em><u>9</u></em><em><u>)</u></em>
<em><u>B </u></em><em><u>.</u></em><em><u> </u></em><em><u>(</u></em><em><u>1</u></em><em><u>,</u></em><em><u>-</u></em><em><u>7</u></em><em><u>)</u></em>
<em><u>C </u></em><em><u>.</u></em><em><u> </u></em><em><u>(</u></em><em><u>8</u></em><em><u>,</u></em><em><u>4</u></em><em><u>)</u></em>
<em><u>ANSWER </u></em><em><u>:</u></em><em><u>></u></em><em><u> </u></em><em><u>A.</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>(</u></em><em><u>-</u></em><em><u>5</u></em><em><u>,</u></em><em><u>9</u></em><em><u>)</u></em><em><u>. </u></em><em><u> </u></em><em><u> </u></em>
<em><u>HOPE </u></em><em><u>IT </u></em><em><u>HELPS</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>THANK </u></em><em><u>ME </u></em><em><u>LATER</u></em><em><u>. </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>
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<em><u>#</u></em><em><u>C</u></em><em><u>A</u></em><em><u>R</u></em><em><u>Y</u></em><em><u> </u></em><em><u> </u></em><em><u>ON </u></em><em><u>LEARNING </u></em></h2>