All categories

3 years ago

What are the values of A and B

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

8 0

Answer:

Step-by-step explanation:

Multiply the denominators so you will have common denominators.

Then 5x + 11 = A(x+3) + B(x+1)

So 5x + 11 = x(A+B) + 3A + B

The only thing that has x in right is (A+B)

So A+B = 5

And 3A + B = 11

So 2A=6

And A=3

B = 5 - 3 = 2

You might be interested in

Find the distance between the points A(13,2) and B(7,10)

Anna007 [38]

Answer:

$10 = D$

Step-by-step explanation:

Method #1

We can draw a right triangle on the graph upon where the points are located and use the Pythagorean Theorem:

${a}^{2} + {b}^{2} = {c}^{2}$

${6}^{2} + {8}^{2} = {c}^{2}$

$36 + 64 = {c}^{2}$

$100 = {c}^{2}$

$10 = c$

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

_______________________________________________

Method #2

Or, we can use the Distance Formula:

$\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D$

B[7, 10] A[13, 2]

$\sqrt{[-2 + 10]^{2} + [-13 + 7]^{2}} = D$

$\sqrt{8^{2} + [-6]^{2}} = D$

$\sqrt{64 + 36} = D$

$\sqrt{100} = D$

$10 = D$

* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.

** You see? It does not matter which method you choose, as long as you are doing the work correctly.

I am delighted to assist you anytime.

6 0

3 years ago

=== Graph y = 1/3x - 1

Marat540 [252]

Graph graph graph graph graph graph graph graph graph

3 0

3 years ago

On Monday, Noah finds 19 big grasshoppers and 9 small ones in his garden. What is the experimental probability of finding a smal

Lina20 [59]

That would be 9 /(19+9) = 9/28 Answer

5 0

4 years ago

Read 2 more answers

Sally is having a party and she has invited nine of her friends.

Alexeev081 [22]

Answer:

1) 5 limes, 5 lemons, 1,000 mL of pineapple juice, 2,000 mL of lemonade, 1,000 of orange juice

2) Limes = $2, Lemons = $2.5, Lemonade = $1.60, Orange Juice = 80c, Pineapple Juice = 90c

Step-by-step explanation:

1/2 limes · 10 = 5

1/2 lemons · 10 = 5

100 mL of pineapple juice · 10 = 1,000 mL

200 mL of lemonade · 10 = 2,000 mL

100 mL of orange juice · 10 = 1,000 mL

Cost:

5 limes · 0.4 = $2

5 lemons · 0.5 = $2.5

mL to L

1,000 mL of pineapple juice = 1 L, this costs 90¢

2,000 mL of lemonade = 2 L, this costs $1.60

1,000 mL of orange juice = 1 L, this costs 80¢

Overall:

5 limes for $2

5 lemons for $2.5

1 L of of pineapple juice for 90¢

2 L of lemonade for $1.60

1 L of orange juice for 80¢

3 0

4 years ago

PLEASE ANSWER + BRAINLIEST!!!

scoray [572]

Using the law of Cosines:

c^2 = 10^2 + 8^2 - 2*10*8*cos(105)

c^2 = 205.41
c = SQRT(205.41)
c = 14.3
The answer is D

8 0

3 years ago