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tia_tia [17]
3 years ago
15

If a^2+b^2= 4 and ab = 5, what is the value of (a+b)^2? A. 10 B. 12 C. 14 D. 16

Mathematics
2 answers:
Effectus [21]3 years ago
8 0

Answer:

C. 14.

Step-by-step explanation:

We use the identity:-

a^2 + b^2 = (a + b)^2 - 2ab

So 4 = (a + b)^2 - 2(5)

(a + b)^2 =  4 + 2(5)

= 14.

wlad13 [49]3 years ago
5 0

Answer:

14

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4  and ab= 5

4 + 2(5)

4+10

14

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Which of the following expressions are equivalent to 6.53 - (-4.11) + 7.926.53?
umka21 [38]

Answer:

Choice B and Choise C.

Step-by-step explanation:

Equivalent expressions are those expressions that have the same value but they look different.

Given the following expression provided in the exercise:

6.53 - (-4.11) + 7.92

You need to remember the multiplication of signs in order to find the equivalent expressions:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Then:

- Eliminating the parentheses, you get this equivalent expression:

6.53 +4.11 + 7.92

- Since the mulplication of two negative signs gives yous a positive sign, you can rewrite the original expression in this form:

-(-6.53)+4.11-(-7.92)

This is an equivalent expression to 6.53 - (-4.11) + 7.92

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3 years ago
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Korolek [52]

Answer:15,260

Step-by-step explanation:

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6 0
3 years ago
1. Seekor burung helang berada 4.56 m di atas aras laut manakala seekor kuda laut berada 6.82 m
s2008m [1.1K]

(a) Calculate the vertical distance between the eagle and the seahorse.

Answer a: 11.38 meters is the vertical distance between them.

(b) Describe Adrian's position from the sea level.

Answer b: Adrian is 1.13m below the sea level.

Step-by-step explanation:

(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.

The vertical distance between the eagle and the seahorse is the difference between their positions:  

Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters

Answer a) 11.38 meters is the vertical distance between them.

(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:

Middle = 11.38m/2 = 5.69m

Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:

4.56m - 5.69m = -1.13m

Answer b: Adrian is 1.13m below the sea level.

<h2><em>Spymore</em></h2>

6 0
3 years ago
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