Which is the reciprocal of -13/7

Add write your answer in simplest form 5 2/3 + 3 3/4

Flura [38]

Nine wholes with five twelves

9 5/12

4 0

3 years ago

Complete the squar3

cricket20 [7]

9514 1404 393

Answer:

4
-2
4
2
-2±√2

Step-by-step explanation:

In order to fill the first blank, we need to look at the second line to see what the coefficient of x is.

1. x² + 4 x +2 = 0

The constant is subtracted from both sides to get the second line.

2. x² +4x =  -2 

The value that is added on the third line is the square of half the x-coefficient: (4/2)² = 4

3. x² +4x + 4  = -2 +4

On the fourth line, the left side is written as a square, and the right side is simplified. The square root is taken of both sides.

4. √(x +2)² = ±√ 2 

Finally, 2 is subtracted from both sides to find the values of x.

5. x =  -2 ±√2 

8 0

2 years ago

Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due

ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

Formula : d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

Formula : D= $\sqrt{(x2-x1)^2+(y2-y1)^2}$

⇒ $D = \sqrt{20^2t^2+15(t-1)^2}$

Now let $F(t) = D^2(t)$

∵ $F'(t) = 800t + 450(t-1) = 1250t -450\\F'(t) =0$

⇒ t= 450/1250

⇒ t= .36 hours

⇒ = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0

3 years ago

Brainliest? :(

Svetlanka [38]

Answer:

$(f\cdot g)(x)=2x^2+10x+12$

$(f-g)(x)=-x-1$

$(f+g)(1)=10$

Step-by-step explanation:

$\tt f(x)=x+3$

$\tt g(x)=2x+4$

$(f\cdot g)(x)=f(x)\cdot g(x)=(x+3)(2x+4)=2x^2+4x+6x+12$

$=2x^2+10x+12$

$(f-g)(x)=f(x)-g(x)=x+3-(2x+4)=x+3-2x-4$

$=-x-1$

$(f+g)(1)=f(1)+g(1)=1+3+2(1)+4$

$=4+2+4=10$

~

7 0

2 years ago

30 POINTS FOR THE GENUIS WHO CAN ANSWER THIS!!

bearhunter [10]

Answer:

Answers are below in bold

Step-by-step explanation:

1) A = 1/2bh Use this equation to find the area of each triangular base

A = 1/2(8)(6) Multiply

A = 1/2(48) Multiply

A = 12cm² Area of each triangular base

2) A = L x W Use this equation to find the area of the bottom rectangular face

A = 20 x 8 Multiply

A = 160 cm² Area of the bottom rectangular face

3) A = L x W Use this equation to find the area of the back rectangular face

A = 20 x 6 Multiply

A = 120 cm² Area of the back rectangular face

4) A = L x W Use this equation to find the area of the sloped rectangular face

A = 20 x 10 Multiply

A = 200 cm² Area of the sloped rectangular face

5) To find the total surface area of the triangular prism, add together all of the numbers.

A = 12 + 12 + 160 + 120 + 200 Add

A = 504 cm² Total area of the triangular prism

6 0

2 years ago