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nignag [31]
3 years ago
5

Simplify the rational expression: 4a²-36/24-8a (__/2)

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer:

  • - (a + 3) / 2

Step-by-step explanation:

  • (4a² - 36)/(24 - 8a) =
  • 4( a² - 9) /8(3 - a) =
  • ( a² - 9) /2(3 - a) =
  • (a + 3)(a - 3)/2(3 - a) =
  • - (a + 3) (3 - a)/2(3 - a) =
  • - (a + 3) / 2
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What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin?
iris [78.8K]

Answer:

H (-2,6)

Step-by-step explanation:

4 0
3 years ago
What is15 qt/h= gal min
Brilliant_brown [7]

we have

15 \frac{qt}{h}

we know that

1 quarter is equal to 0.25 gallon

1 hour is equal to 60 minutes

convert \frac{qt}{h} to \frac{gal}{min}

15 \frac{qt}{h} =15* \frac{0.25}{60} = 0.0625\frac{gal}{min}

therefore

the answer is

0.0625\frac{gal}{min}

5 0
3 years ago
Read 2 more answers
The coordinates below represent two linear equations. How many solutions does this system of equations have?
AlexFokin [52]
<span>find the equations of the lines in slope-intercept form which is y=mx+b where m=slope b=y intercept
the choices:
0 solutions: means the lines don't intercect at all, meaning same slope but different y intercept or they ar paralell
1 solution: lines intercect in 1 point
2 solutions: curvy line with a straight line thorugh middle
infinetly solutions: same line
 



to find slope you do
slope=(y1-y2)/(x1-x2)
first line is
(-4,8)
(4,6)
(x,y)
x1=-4
y1=8
x2=4
y2=6
subsitute
(8-6)/(-4-4)=2/-8=-1/4
slope=-1/4
subsitute
y=-1/4x+b
subsitute one of the points
(4,6)
x=4
y=6
6=-1/4(4)+b
6=-1+b
add 1 to both sides
7=b
y=-1/4+7

now solve for the other equation


(-1,1)
(3,5)
x1=-1
y1=1
x2=3
y2=5
subsitute
(1-5)/(-1-3)=(-4)/(-4)=4/4=1
y=1x+b
subsitute
(-1,1)
x=-1
y=1
1=1(-1)+b
1=-1+b
add 1
2=b
y=x+2

we have the lines
y=-1/4x+7 and
y=x+2
solve for a common solution
y=x+2 and y=-1/4x+7 therefor
x+2=-1/4x+7
subtract 7 from both sides
x-5=-1/4x
mulitply both sides by -4
-4x+20=x
add 4x to both sides
20=5x
divide both sides by 5
4=x
subsitute
y=x+2
y=4+2
y=6
the soluiton is (4,6)
there is only one solution
the answer is B</span>
8 0
3 years ago
What is the area of a triangle with vertices at (−4, −6), (1, −6), and (1, 2)?
bazaltina [42]

Answer:

The answer is (1,2) I'm pretty sure that is the answer if it is not please tell me I'll check.

3 0
2 years ago
The polygons are similar. Find the missing side length. NO LINKS!!!!​
timurjin [86]

Answer:

CD = 27

Step-by-step explanation:

Given the triangles are similar then the ratios of corresponding sided are equal, that is

\frac{CD}{KD} = \frac{CB}{KL} , substitute values

\frac{CD}{9} = \frac{30}{10} = 3 ( multiply both sides by 9 )

CD = 27

7 0
3 years ago
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