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GenaCL600 [577]
3 years ago
6

10. What is the equation of the line perpendicular to y= (1/2)x-2 that contains the point (2,5)

Mathematics
1 answer:
bulgar [2K]3 years ago
7 0
Y-5=2(x-2)
y = 2x+1

..................
You might be interested in
Need help......................
jolli1 [7]

To find the area of a <em>rectangle</em>, we multiply its length by its width. A square is a special case of a rectangle where all of the sides have the same length, so what we're really doing is taking the side length and multiplying it by itself. Fittingly, we call the process of multiplying a number by itself <em>squaring </em>that number. For example, "3 squared," - written as 3² - gives us 3 x 3 = 9, 4² gives us 4 x 4 = 16, and hopefully you get the idea from there.

Here, a square with a side length of 6.25 feet would have any area of (6.25)² <em>square feet</em> (because area takes up <em>space, </em>we can't measure it with length alone - we need to use something else that takes up space, and squares are the simplest type of shape for the job).

Doing the calculation, we find that this is (6.25)(6.25) = 39.025 square feet.

6 0
3 years ago
A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express deliver
zhuklara [117]

The question is incomplete:

A business shipped 106 packages one day. Customers are charged 4.50 for each standard delivery and 7.50 for each express delivery. Total shipping charges for the day were $600.00. How many of each kind of package were shipped?

Answer:

The business  shipped 65 standard delivery packages and 41 express delivery packages.

Step-by-step explanation:

Since the business shipped 106 packages one day you can say that:

x+y=106, where:

x is the number of standard delivery packages

y is the number of express delivery packages

Also, you can say that the result of multiplying the price per each type of package for its amount and adding those would be equal to the total shipping charges for the day, which is:

4.50x+7.50y=600

So, you have the following equations:

x+y=106 (1)

4.50x+7.50y=600 (2)

Now, you can solve for x in (1):

x=106-y (3)

Then, you can replace (3) in (2) and solve for y:

4.50(106-y)+7.50y=600

477-4.50y+7.50y=600

3y=600-477

3y=123

y=123/3

y=41

Finally, you can replace the value of y in (3) to be able to find the value of x:

x=106-41

x=65

According to this, the answer is that the business  shipped 65 standard delivery packages and 41 express delivery packages.

3 0
3 years ago
What is the answer / product of 8x2
Mademuasel [1]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x^2-(8)=0  

Step by step solution :

STEP

1

:

Equation at the end of step 1

 23x2 -  8  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  8x2 - 8  =   8 • (x2 - 1)  

Trying to factor as a Difference of Squares:

3.2      Factoring:  x2 - 1  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check :  x2  is the square of  x1  

Factorization is :       (x + 1)  •  (x - 1)  

Equation at the end of step

3

:

 8 • (x + 1) • (x - 1)  = 0  

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Equations which are never true:

4.2      Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3      Solve  :    x+1 = 0  

Subtract  1  from both sides of the equation :  

                     x = -1

Solving a Single Variable Equation:

4.4      Solve  :    x-1 = 0  

Add  1  to both sides of the equation :  

                     x = 1

Two solutions were found :

x = 1

x = -1

3 0
2 years ago
The box plots below show the lifespan, in months, of laptop batteries manufactured by four companies: box plot labeled Company A
RUDIKE [14]
The highest median lifespan would be represented on the box plot that has the highest median value.

Company A: 23
Company B: 24
Company C: 22
Company D: 22.5

The company with the highest median lifespan of batteries is company B.
8 0
3 years ago
Read 2 more answers
A bakery made 360 cookies. Twenty percent of the cookies were chocolate chip. How many cookies were chocolate chip
Dima020 [189]

Answer:

72

Step-by-step explanation:

To calculate how much 20% of 360 makes we multiply 360 with 20 then divide it with 100

360 × 20 ÷ 100 = 72

7 0
3 years ago
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