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3 years ago

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The difference between two positive integers is 44. if the smaller is added to the square of the larger, the sum is 376376. find

the integers.

1 answer:

pochemuha3 years ago

5 0

Let a be the bigger number and b the smaller.

So a-b=44

and a^2+b=376376

(44+b)^2+b=376376

b^2+89b -374440=0

Solve for b and you get a. Are you sure it is 376376 not 376?

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Help please. I attempted, but I couldn't succeed.

german

Answer:

y=(3/2)x+-14

First blank: 3

Second blank:2

Last blank:-14

Step-by-step explanation:

The line form being requested is slope-intercept form, y=mx+b where m is slope and b is y-intercept.

Also perpendicular lines have opposite reciprocal slopes so the slope of the line we are looking for is the opposite reciprocal of -2/3 which is 3/2.

So the equation so far is

y=(3/2)x+b.

We know this line goes through (x,y)=(4,-8).

So we can use this point along with our equation to find b.

-8=(3/2)4+b

-8=6+b

-14=b

The line is y=(3/2)x-14.

3 0

3 years ago

How do I write the sum of 24+40 as a product of the greatest common factor and another sum

9966 [12]

Answer is 64 and a factor is 6/4 .

7 0

3 years ago

Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilome

andrew-mc [135]

<u><em>Answer:</em></u>

(c) 4.1 km

<u><em>Explanation:</em></u>

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

<u>where:</u>

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>

$hypotenuse = +\sqrt{(side1)^2 + (side2)^2}$

<u>Substitute with the givens:</u>

$hypotenuse = +\sqrt{(4)^2 + (1)^2}$ = √17 ≈ 4.1 km

Hope this helps :)

3 0

2 years ago

Does a=2.1 b=7.2 c=7.5 form a right triangle

Anna007 [38]

Answer:

Yes

Step-by-step explanation:

If the longest side squared is equal to the sum of the squares on the other 2 sides then they form a right triangle

longest side = 7.5

7.5² = 56.25

2.1² + 7.2² = 4.41 + 51.84 = 56.25

Thus the 3 values form a right triangle.

6 0

2 years ago

Read 2 more answers

solve the systems of equations via graphing then check the solution in each equation: 4x+6y=18, (y+2)=1/3(x+2)

Mariulka [41]

just wondering are you still stuck

8 0

2 years ago