All categories

3 years ago

If ab = 8 and a^2 + b^2 = 16, then what is the value of (a+b)^2? 25 POINTS

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

(a+b)²=a²+2ab+b²=(a²+b²)+2ab=16+2*8=32

erik [133]3 years ago

6 0

Answer:

Step-by-step explanation:

Note that

(a + b)² = a² + 2ab + b²

= a² + b² + 2ab ← substitute given values for a² + b² and ab

= 16 + (2 × 8)

= 16 + 16

= 32

You might be interested in

A rectangular prism has a volume 144 centimeters. The base is a square with a length of 4 cm. What is the height of the prism?

Vitek1552 [10]

The volume is the product of the height and the area of the base.
V = Bh
The area of the square base is (4 cm)² = 16 cm², so the height can be found from
144 cm³ = (16 cm²)h
h = (144 cm³)/(16 cm² = 9 cm

The height of the prism is 9 cm.

6 0

2 years ago

Samia created the following tables of values for a linear system. She concluded that there is no

DaniilM [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

3 Max travels to see his brother's family by car. He drives 216 miles in 4 hours.

OLga [1]

Answer:

54 miles per hour

Step-by-step explanation:

If you divide the number of miles (216) by the hours (4) you get 54.

4 0

3 years ago

Explanation please will give brainliest.

Sonja [21]

Answer:

$AC = 28$

Step-by-step explanation:

Given

$AB = 16$

$BC = 12$

Required

Determine AC

Since A, B and C are collinear, then:

$AC = AB + BC$

So, we have:

$AC = 16 + 12$

$AC = 28$

5 0

3 years ago

For sin2x+cosx=0, use a double-angle or half-angle formula to simplify the equation and then find all solutions of the equation

Archy [21]

Answer:

Step-by-step explanation:

Given is a trignometric equation in x, as

$sin2x+cosx=0$

TO make it in one trig ratio, we can replace sin2x as 2sinx cosx

WE get now

$2sinxcosx+cosx=0\\$

$cosx(2sinx+1)=0\\cosx=0, sinx =-0.5\\$

Principal solution is $x=\frac{\pi}{2} , \frac{-\pi}{6}$

x = ±π/2 + 2kπ, where k is any integer or

x=±pi/6 +k pi, where k is any integer.

General solution is

4 0

2 years ago