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3 years ago

Solve by completing the square: 2) 3x2 + 24x - 27 = 0

Mathematics

1 answer:

Anna71 [15]3 years ago

8 0

X = 1
Or
X= - 9
Sorry if it’s wrong first time doing this!

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Solve the system of equations using any appropriate method: 5x + 2y = -4 and -x + 2y = 8

Maru [420]

Answer:

Step-by-step explanation:

-x + 2y = 8

5x + 2y = -4

+ x. -2y. -8

6x = -12

÷6. ÷6

x = -2

5(-2) + 2y = -4

-10 + 2y = -4

+10. +10

2y = 6

÷2. ÷2

y = 3

4 0

2 years ago

Solve 9y = 27 How can you find the value of y

Bumek [7]

You need to divide 9 to both sides in order for y to come alone. So then you would have to divide 27 by 9 and y = 3. Hope this helps!

6 0

2 years ago

A string of decorative lights is 28 feet long. The first light on the string is 16 inches from the plug. The lights on the strin

ANEK [815]

28 x 12 = 336
336 - 16 = 320
320 divided by 4 = 80
80
Lights

5 0

3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

2 years ago

vlada-n [284]

Answer:

The last one

Step-by-step explanation:

The standard method for solving an equation like 3x + 5 = 26 is to use

the Subtraction Property of Equality and then the Division Property of

Equality.

3x + 5 = 26

you would have to subtract first to get your answer

so subtract 5 on both sides

3x= 21

then u would have to divide 3 by both sides to get the x alone/ isolated

x= 7

and that is why u should use " Subtraction Property of Equality and then the Division Property of Equality, " as your method.

5 0

2 years ago