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alexandr1967 [171]
3 years ago
9

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:

32

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:

32

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

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juila has 3 1/2 pounds of dog food.she has to slit it quality among her 7 dogs how much food will each dog receive
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1/2 a pound per dog
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3 0
3 years ago
The remainder when p\left(x\right)=x^3-2x^2+8x+kp ( x ) = x 3 − 2 x 2 + 8 x + k by (x-2) is 19. What is the remainder when p(x)
Dafna11 [192]

Answer:

Remainder when p(x) is divided by (x+2) is -29

Step-by-step explanation:

p(x) = x^{3} - 2x^{2} + 8x + k

When p(x) is divided by (x-2), remainder is 19.

p(x - 2 = 0)  gives the remainder when p(x) is divided by (x-2)

x - 2 = 0

x = 2

p(x-2=0) = p(2) = 2^{3} - 2(2^{2}) + 8(2) + k = 19

8 - 8 + 16 + k = 19

k = 3

p(x) = x^{3} - 2x^{2} + 8x + 3

p(x + 2 = 0)  gives the remainder when p(x) is divided by (x+2)

x + 2 = 0

x = -2

p(x+2=0) = p(-2) = (-2)^{3} - 2((-2)^{2}) + 8(-2) + 3

p(-2) = - 8 - 8 - 16 + 3 = -29

Remainder when p(x) is divided by (x+2) is -29

6 0
3 years ago
Read 2 more answers
Solve for x please!!!!
AleksAgata [21]

11) Since the triangle has a pair of congruent base angles, it is an isosceles triangle which means that the two pairs of legs are congruent.

Make them equal to each other in an equation.

5x = x + 20

Subtract x from both sides.

4x = 20

Divide both sides by 4.

x = 5

12) The two legs are congruent so that means the base angles must be congruent. First find the measure of the base angles. Create an equation:

x + x + 50 = 180

Combine like terms.

2x + 50 = 180

Subtract 50 from both sides.

2x = 130

Divide both sides by 2.

x = 65

Now make the base angle plus x equal 180, because they form a straight line.

65 + x = 180

Subtract 65 from both sides.

x = 115

13) You know the vertex angle (top angle) is 90 degrees because it is supplementary to a right angle. The triangle is isosceles because the two legs are congruent, so make the base angles plus 90 add up to 180 in an equation.

x + x + 90 = 180

Combine like terms.

2x + 90 = 180

Subtract 90 from both sides.

2x = 90

Divide both sides by 2.

x = 45

5 0
3 years ago
Hi, I am in desperate need of help in math. I am utterly clueless when it comes to math. Civics on the other hand. I need help w
natita [175]
First your going to use commutative property to reorder the terms , so it would be
5x^4-x-35x^3+7 , then your going to factor out x & -7 from the equation once you factor that out you should have x(5x^3-1)-7(5x^3-1) after you got that your going to factor out 5x^3-2 and get the answer (x-7)(5x^3-1) which is your final answer.
6 0
3 years ago
Ahmad rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 88 cents for each mile d
Masteriza [31]

Answer:

266 miles

Step-by-step explanation:

(244.09-17.99)/0.85=266

6 0
3 years ago
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