Find the distance between the points (4, 4) and (-3, 5)

Answers

Answer 1
Answer:

Answer: 7.07

Step-by-step explanation:

To find the distance, you need to use the distance formula.

d=√((x_2-x_1)^2+(y_2-y_1)^2)

d=√((-3-4)^2+(5-4)^2)           [parenthesis]

d=√((-7)^2+(1)^2)                       [exponent]

d=√(49+1)                                 [add]

d=√(50)

d=7.07

Now, we know the distance is 7.07.


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Which of the following are required to find density using the density formula? Check all that apply.A.
Width of the substance

B.
Mass of the substance

C.
Amount of water in the substance

D.
Volume of the substance

Answers

The density formula is Density = Mass / Volume
(B) Mass of substance and (D) Volume of substance are required to find the density.

Final answer:

To find density using the density formula, the required elements are the mass and volume of the substance. Width or the amount of water in the substance is not needed.

Explanation:

The density of a substance can be found using the density formula, which is Density = Mass / Volume. To use this formula, you would need:

  • Mass of the substance: This is the amount of matter in the substance and is typically measured in grams (g).
  • Volume of the substance: This is the space that the substance occupies and is typically measured in cubic centimeters (cc or cm3).

The width of the substance or the amount of water in the substance are not required to find density using the density formula.

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Solve the ecuation:x=\frac{[x]+2012}{\{x\}+2013}

where [x] is the whole part of the number x and {x} is the fractional part of the number x.

Answers

Scrii x = [ x ] + { x } ;
Folosesti proprietatea fundamentala a proportiilor;
Apoi, exprimi [ x ] in functie de { x }, si obtii ca :
[ x ] = ( 2012 - { x } ^2 - 2013{ x } ) / ( 2012 + { x } ) ;
Fie { x } = t ∈ [ 0 , 1 ) ;
 Obtii ca [ x ] = - t - 1 + 4024 / ( t + 2012 ) ;
Stim ca [ x ] ∈ Z ;
Atunci t = 0 sau t = 2012 ;
Convine numai t = 0 => x = [ x ] ;
Ecuatia originala va avea solutia 1.

Bafta!

Sarah bought a lawnmower for $320. She signed up for the buy now pay later plan at the store with the following conditions: $100 down and payments of $25 for the next 12 months. The extra cost paid by taking this plan is equivalent to what actual yearly rate of interest? A. 67% B. 65% C. 25% D. 85%

Answers

The yearlyrate of interest is equivalent to the extra cost paid by taking the plan of $100 down and payments of $25 for the next 12 months is 25%

Option C is the correct answer.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

We have,

Sarah bought a lawnmower for $320.

Principal = $320

She signed up for the buy now pay later plan at the store with the following conditions:

$100 down and payments of $25 for the next 12 months.

This means,

Amount paid = $100

Amount paid for the next 12 months = $25

The totalamount paid in 12 months:

= 100 + 12 x 25

= 100 + 300

= $400

The extraamount paid:

= 400 - 320

= $80

The yearlyrate of interest:

Simple interest = Principal x Rate x Time / 100

80 = (320 x Rate x 1) / 100

8000 = 320 x Rate

Rate = 8000 / 320

Rate = 25%

Thus,

The yearlyrate of interest is equivalent to the extra cost paid by taking the plan of $100 down and payments of $25 for the next 12 months is 25%

Option C is the correct answer.

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Cost of the lawnmower bought by Sarah = $320
Amount of down payment made by Sarah = $100
Amount paid by Sarah in 12 months = (12 * 25) dollars
                                                          = 300 dollars
Total amount paid by Sarah = (300 + 100) dollars
                                             = 400 dollars
Excess amount paid as interest by Sarah = (400 - 320) dollars
                                                                   = 80 dollars
Actual yearly rate of interest paid by Sarah = (80/320) * 100 percent
                                                                     = 25 percent
So 25% yearly interest was paid by Sarah. The correct option is option "C".

Solve for x, show your work:
18/x^2 - 9/x = -1

Answers

Answer:

x=6,3

Step-by-step explanation:

The equation can have 2 solutions.

HOPE THIS HELPS

:)

9. Identify the number of solutions to 3x + 21 = 3(x+ 7).

Answers

Answer: I think the answer is 10 thats atleast what I got

Step-by-step explanation:

RS= 6x-8UV= 4x+2


write and solve an equation to find the value of x (show work)


What is the length of RS


What is the length of UV

Answers

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Final answer:

The value of x is 5. The length of both RS and UV is 22.

Explanation:

In mathematics, when two lines or segments are said to be equal, it means you can set your two given equations equal to each other. In this case, you can equate RS to UV, which would give you the equation 6x - 8 = 4x + 2. To solve for x, you would start by moving the 4x from the right side of the equation over to the left by subtraction to get 2x - 8 = 2. Next, to isolate x, you would move the 8 over to the right side of the equation using addition, so the equation becomes 2x = 10. Finally, divide each side by 2 to get x = 5. To find the lengths of RS and UV, substitute x = 5 into the original equations, yielding RS = 6*5 - 8 = 22 and UV = 4*5 + 2 = 22.

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