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3 years ago

Find 2 numbers, if their sum is -11 and their difference is 41

Mathematics

1 answer:

frosja888 [35]3 years ago

5 0

Answer:

15, -26

Step-by-step explanation:

The generic solution to a "sum and difference" problem can be found easily. Let "a" and "b" represent the numbers you seek, and let "s" and "d" represent their sum and difference:

a + b = s

a - b = d

Adding these two equations tells you ...

2a = s + d

a = (s + d)/2 . . . . . . divide by the coefficient of a

You can find "b" several different ways. One way is to subtract the second equation from the first:

2b = s - d

b = (s - d)/2 . . . . . . divide by the coefficient of b

So, the second number can be found from any of ...

b = s - a
b = a - d
b = (s - d)/2

____

For the numbers given here, s=-11, d=41, the two numbers are ...

a = (-11 +41)/2 = 15

b = -11 -15 = -26

The two numbers are 15 and -26.

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Bouncing Baby Company sells their cribs for the following amounts to stores

xz_007 [3.2K]

Answer:

Option C

Step-by-step explanation:

Since, Price of cribs (P) are proportional to the proportional to the number of cribs (N) sold,

P ∝ N

P = kN

Here 'k' is the proportionality constant

To get the value of proportionality constant,

Since, value of 10 cribs is $1320

1320 = k(10)

k = 132

Therefore, equation will be

P = 132N

Option A

If number of cribs = 6

P = 132(6) = $792

False.

Option B

For N = 22

P = 132(22) = $2904

False.

Option C

For N = 40

P = 132(40) = $5280

True

Option D

For N = 55

P = 132(55) = $7260

False

Option E

For N = 80

P = 132(80)

= $10560

False

Option F

For N = 250

P = 132(250)

= $33000

False

If the given options have been written correctly only one option, Option (C) is correct.

4 0

3 years ago

Triangle ABC IS an isosceles triangle AB=BC m

True [87]

Answer:

The measure of angle A is 73°

Step-by-step explanation:

Isosceles Triangles

An isosceles triangle is a triangle with exactly two congruent sides. The angles the congruent sides form with the third side are also equal.

The triangle ABC is isosceles and AB congruent with BC. The angle at B measures 34°.

The other two angles are congruent, i.e. their measures are the same. Since the internal angles of a triangle sum 180°:

$2*m\angle A=180^\circ - 34^\circ =146^\circ$

Thus:

$m\angle A=146^\circ /2=73^\circ$

The measure of angle A is 73°

5 0

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