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bija089 [108]
3 years ago
15

Factor the expression. 9y^2– 36

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

Answer: 9 (y - 2) (y + 2)

Step-by-step explanation:

Factor the following:

9 y^2 - 36

Factor 9 out of 9 y^2 - 36:

9 (y^2 - 4)

y^2 - 4 = y^2 - 2^2:

9 (y^2 - 2^2)

Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):

Answer: 9 (y - 2) (y + 2)

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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-
Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7

Similarly,

BC=\sqrt{(5-(-2))^2+(4-4)^2}=7

CD=\sqrt{(5-5)^2+(4-(-3))^2}=7

AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7

It is conclude that, AB=BC=CD=AD.

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

P=4a=4(7)=28\text{ yards}

Area of square floor is

A=a^2=7^2=49\text{ sq. yards}

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0
3 years ago
Toniac 123 can you please help me with these questions. They are part of of the question you answered. There is another question
uranmaximum [27]
5/12+5/12=10/12
10/12+10/12=20/12 wich =1.666666666666667theres ur answer to one.
dont know the answer to the other one
 Sorry
Hope that helps

8 0
3 years ago
Miguel orders 595 candy bars. They come in 7 boxes. How many candy bars are in each box? How many candy bars will he have left i
melisa1 [442]

There are 85 candy bars in each box, and he will have 340 candy bars left after he gives three boxes to a friend.

8 0
3 years ago
Read 2 more answers
PLZ HELP QUICK I NEED TO TURN THIS IN ;Twice a number is fourteen. Write and solve an equation to nd the number of miles that mu
LuckyWell [14K]
2n=14 n being the “number” divide 2 on both sides and you’re left w n=14/2 or7
5 0
3 years ago
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o
dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0
3 years ago
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