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3 years ago

Simplify the following expression. (65x+50y)-(16x-21y)

Mathematics

2 answers:

GarryVolchara [31]3 years ago

5 0

Your going to want to first distribute the negative out to the second equation
65x+50y-16x+21y
49x+71y

Rzqust [24]3 years ago

5 0

81x-29y because you do 65x plus 16x because they both have the variable x at the end. now do 50y plus -21y and since it is a negetive (and it is a negetive it is not just a subtraction sign trust me i have done this many times before and been correct) you get 29 y because they both have the variable y in it. and you can't do anything with a two different variables.

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Help me please

deff fn [24]

Answer:

(x-1)^2 + y^2 = 25

Step-by-step explanation:

center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)

AB = 10

radius = AB / 2 = 5

equation formula: (x - xC)^2 + (y-yC)^2 = radius^2

Hence:

(x-1)^2 + y^2 = 25

5 0

2 years ago

Vector V is in standard position and makes an angle of 50° with the positive x-axis. Its magnitude is 15. Write V in component f

Scilla [17]

Answer:

a=9.641, b=11.49

Vector will be 9.641 i + 11.49 j

Step-by-step explanation:

We have given that vector V has the magnitude of 15

And it makes an angle of 50 $^{\circ}$ with positive x axis

Now let the x component of vector V is a and y component of vector V is b

So $a=Vcos\Theta =15\times cos50^{\circ}=9.641$

$b=Vsin\Theta =15\times sin50^{\circ}=11.49$

In vector form 9.641 i+11.49 j

8 0

4 years ago

What is the number 0.000706 written in scientific notation?

Alex17521 [72]

Answer:

7.6 x 10^-4

Step-by-step explanation:

5 0

3 years ago

A rectangular yard is 20 feet by 15 feet. The yard Is covered with grass except for an 8.5 feet. Square flower garden. How much

stich3 [128]

Answer: $227.75\ ft^2$

Step-by-step explanation:

<h3> The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />

The area of a rectangle can be calculated with the following formula:

$A=lw$

Where "l" is the lenght of the rectangle and "w" is the width.

Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

$l=20\ ft\\\\w=15\ ft$

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

$A_y=(20\ ft)(15\ ft)=\\\\A_y=300\ ft^2$

The area of the flower garden which is an square, can be calculated with this formula:

$A=s^2$

Where "s" is the side length.

In this case you know that:

$s=8.5\ ft$

Then the area of the flower garden is:

$A_g=(8.5\ ft)^2\\\\A_g=72.25\ ft^2$

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.

This is:

$A_g=300\ ft^2-72.25\ ft^2\\\\A_g=227.75\ ft^2$

4 0

4 years ago

the water level in a plastic pool changed by -8 gallons each hour due to small hole in the bottom after6 hours the pool containe

Yuri [45]

x - 6(8) = 132

x = 48 + 132

x = 180

180 gallons was in the pool originally.

4 0

3 years ago