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8090 [49]
3 years ago
8

Will give brainiest algebra 2

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

The sum of squares of numbers is: 13

Step-by-step explanation:

Let x and y be two numbers

Then,

Difference of the squares of the numbers will be:

x^2-y^2

Product will be:

xy

Given identity is:

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

Given values are:

Difference of the squares of the numbers=x^2-y^2=5

Product of numbers = xy = 6

Putting the values in the identity

(x^2+y^2)^2=(5)^2+[2(6)]^2\\=25+(12)^2\\=25+144\\=169

As we have to only find x^2+y^2

Taking square root on both sides

\sqrt{(x^2+y^2)^2}=\sqrt{169}\\x^2+y^2=13

The sum of squares of numbers is: 13

Keywords: Identities

Learn more about identities at:

  • brainly.com/question/8902155
  • brainly.com/question/8955867

#LearnwithBrainly

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A 6 pack of soda costs $3.60. What is the unit rate for one bottle of soda?
iVinArrow [24]

Answer:$0.60

Step-by-step explanation:

Divide younr cost by the amount of soda.

4 0
2 years ago
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A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
harkovskaia [24]

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0
3 years ago
Find the coordinates of the image after a reflection across x=3
wlad13 [49]
The correct answer is D
3 0
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Jill paid $4 for a sandwich. She now has $25. With how much did money did she start
Alexxandr [17]

Answer:

29

Step-by-step explanation:

25+4

you take the final amount and add what was taken to find the initial value

8 0
2 years ago
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Can someone help me please?
Masja [62]

Given:

A line segment AB.

A point is \dfrac{3}{10} of the way from A to B.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divide a line segment in m:n, then

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).

Let the unknown point be P. The point is \dfrac{3}{10} of the way from A to B. It means,

\dfrac{AP}{AB}=\dfrac{3}{10}

Let AP and AB are 3x and 10x, then

\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}

\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}

\dfrac{AP}{PB}=\dfrac{3x}{7x}

\dfrac{AP}{PB}=\dfrac{3}{7}

It means, point P divided the line segment in 3:7.

Using section formula, we get

P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)

P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)

P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)

P=\left(0.8,-2.3\right)

Therefore, the coordinates of the required point are (0.8, -2.3).

6 0
2 years ago
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