MATHEMATICS HIGH SCHOOL

If ab = 10 and a2 + b2 = 30, what is the value of
(a + b)^2?

Answers

Answer 1

Answer:

Answer: (a + b)² = 50

Step-by-step explanation:

(a + b)² = (a + b)(a + b)

= a² + ab + ab + b²

So, (a + b)² = a² + b² + 2ab

Then substitute the value of ab and (a² + b²)

(a + b)² = 30 + 2(10)

= 30 + 20

Therefore, (a + b)² = 50

Answer 2

Answer: ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

Related Questions

Which of the following statements contain a variable? Check all that apply.A. The amount of time you ran on the track.B. How high you can jump.C. The time school starts.D. The temperature outside is 31 degrees.
What is the next term in the sequence 7,12,17,22,...
A tent is in the shape of an equilateral triangle. The triangularbase has a length of 4 feet and a height of 3.5 feet. The rectangular sides and bottom of the tent have the dimensions of 6 feet by 4 feet. The surface area of the tent is square feet.
Solve the system using substitution.y=6x-11-2x-3y=-7
Good evening guys I nee your help , can you ?

On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?

Answers

200 * 0.40 = 80
80 children

Answer:

80 children

Step-by-step explanation:

(200 * 40) /100 = 80

How do I solve this?

Answers

i would first make it 5+-2x and so then you would have I5+-2xI * IxI and then you have I5+ (-2*-4)I*I-4I then you have I5+8I*4 then you would have 13*4 and then your answer is 52 :)

|5 - 2x| · |x|
|5 - 2(-4)| · |-4|
|5 + 8| · 4
|13| · 4
13 · 4
52

PLEASE ANSWER ASAP! ANSWER MUST INCLUDE EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

We'll use the Pythagorean Theorem to solve this problem.
We know that the Pythagorean Theorem is the following:

$a^(2) + b^(2) =c^(2)$

where c is the hypotenuse (the side opposite the right angle), and a and b are the legs of the triangle.
To solve, we just have to input what we know. The two legs of the triangle are 60 and 100, so we just have to plug these values in and solve.

$60^(2) + 100^(2) = c^(2)$

$3600 + 10000 = c^(2)$

$13600= c^(2)$

So we know that the distance from one corner of the playing field to the opposite corner is the square root of 13,600 yards.
When we plug this into a calculator, we get

$√(13600)$ ≈ 116.619...

which, when rounded up to the nearest whole number, is 117.
The approximate distance from one corner of the soccer field to the opposite corner is 117 yards.
Hope that helped! =)

The answer is 117 because you do 60 squared plus 100 squared then you find the square root of that product and since it says approximentaly the closest answer would be 117

50% of the cake Jenny bike last week we're party cakes 1/5 with fruit cakes and the remainder of sponge cakes what percentage of cakes with sponge cakes

Answers

100%-1/5(20%)=80%
80%-50%=30%

PLEASE HELP!!!The probability of drawing a green marble from a marble bag is 20%. What are the odds in favor of drawing a green marble?
1:5
4:1
5:1
1:4