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stiks02 [169]
3 years ago
7

Resolve into factors:- 9x4 + 2x²y²+ y4​

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

(3x^2+y^2+2xy)(3x^2+y^2-2xy)

Step-by-step explanation:

9x^4+2x^2y^2+y^4

(3x^2+y^2+2xy)(3x^2+y^2-2xy)

Both terms are perfect squares. So you will factor using the difference of squares formula. a^2-b^2=(a+b)(a-b)

Take what the square is for every term.

9x^4. What squared is 9? 3 and take half of the power or 2. That's how you get the 3x^2

2x^2y^2 is the same way. 2xy and 2xy

y^4 is y but dived he powers by 2 to get y^2.

Take one of each and but in () like I have above.

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If a frozen yogurt has 75 calories in 2 oz, how many are in 8 oz of yogurt?
irina [24]

Answer:

The answer would be 300 calories

Step-by-step explanation:

To find the amount of calories in 8 ounces we need to make the ounce amount the same. Let x equal the number of calories.

75/2=x

To get to 8 ounces we need to multiply the bottom by 4. and what we do to the bottom we do to the top.

75*4/2*4=x

multiply

300/8=x

There are 300 calories in 8 ounces.

4 0
3 years ago
Jen picked 3/4 of a gallon of strawberries in half an hour.If she keeps picking strawberries at the same time, how many gallons
MrRa [10]

Answer:

Number of gallons of strawberries will she have picked in 2 hours is, 3

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity of 1, such as 4 feet per second or 6 miles per hour, they are called unit rates.

Given the statement: Jen picked 3/4 of a gallon of strawberries in half an hour.

⇒ In \frac{1}{2} hour Jen picked  \frac{3}{4} gallon of strawberries.

Unit rate per hour = \frac{\frac{3}{4} }{\frac{1}{2}} =\frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}

To find the number of gallons will she have picked in 2 hours.

Number of gallons = unit rate per hours \times 2

                                      =\frac{3}{2} \times 2 = 3

Therefore, the number of gallons will she have picked in 2 hours is, 3

6 0
3 years ago
Plane AXS intersects with which planes? More than 1 answer.
Nata [24]

Answer:

Options A and Option B

Step-by-step explanation:

All four sides AX, IX, IS and AS of the base are common in the four side walls of the prism.

In other words, edge AX is common in planes AXU and AXS,

Edge XI is common in planes XIB and AXS,

Edge SI is common in planes EBS and AXS,

Edge AS is common in planes CEA and AXS.

Therefore, plane AXS is intersecting planes AXU and EBS.

Options A and Option B are the correct options.

8 0
3 years ago
The scores on a test have a mean of 78 and a standard deviation of 6.5. A student scored a 67 on the test. What is the Z-Score a
Komok [63]

Answer:

76

Step-by-step explanation:

5 0
3 years ago
Someone explain how to do this please!! dont need just an answer but explain as well
Leya [2.2K]

6.5 goes in the first box and 5.5 goes in the second box.

Explanation for first box: 13+2 is 15 and half of 15 is 7.5 so you need to take 13 and subtract 7.5. Once you do that, you end up with 6.5

Explanation for second box: (The negative 7 doesn't matter because you want the absolute value) 18+7 is 25 and half of 25 is 12.5. 18-12.5 is 5.5 so the answer would be 5.5

8 0
2 years ago
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