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Flura [38]
3 years ago
14

When using a vertical number line do the negative numbers go on the bottom or top?

Mathematics
1 answer:
pshichka [43]3 years ago
8 0
Bottom Like They Go on the left horizontally
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a rectangle has an area that is numerically twice its perimeter. If the length is twice the width, what are its dimensions
solong [7]

Answer:

Width = 6 units

Length = 12 units  

Step-by-step explanation:

First thing first :)

The area of a rectangle is given by the formula:

A=wl

where

A is the area of the rectangle

w is the width

l is the length

On the other hand, the perimeter of a rectangle is given by:

P=2(w+l)

where

P is the perimeter

w is the width

l is the length

We know from our problem that the area of our rectangle is twice its perimeter, so:

A=2(2)P

A=4P

wl=4(w+l)

We also know that its length is twice its width, so l=2w. Let's replace that value in our previous equation and simplify:

w(2w)=4(w+2w)

2w^2=4(3w)

2w^2=12w

Subtract 12w from both sides of the equation:

2w^2-12w=12w-12w

2w^2-12w=0

Factor w:

w(2w-12)=0

Equate both factor to zero:

w=0, 2w-12=0

A length can't be zero, so discard w=0 and solve for the other one:

2w-12=0

2w=12

w=\frac{12}{2}

w=6

Know that we have the width of our rectangle, we can find its length:

l=2w

l=2(6)

l=12

We can conclude that the width of our rectangle is 6 units and its length is 12 units.

8 0
4 years ago
What is the next letter in the following sequence? M , A, M, J, J, A, S, O, ….
FrozenT [24]

Answer:

N D J

Step-by-step explanation:

may, june, july, august, september...

i only edited to add explanation

5 0
3 years ago
Read 2 more answers
If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.
Finger [1]

Answer:

2x⁴ + x³ - 3x² - 4x + 2

4

Step-by-step explanation:

Given functions:

     f(x) = 2x⁴ - 3x² - 2x + 5

     g(x)  = x³ - 2x - 3

Unknown:

Sum of the polynomials = ?

Order of the sum  = ?

Solution:

The sum of the polynomial is expressed as;

    f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 +  x³ - 2x - 3

                   = 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3

                   = 2x⁴ + x³ - 3x² - 4x + 2

The order of the sum is the highest power which 4.

This polynomial is of the 4th order.

4 0
4 years ago
Can Anyone answer this equation? it's pretty difficult.
morpeh [17]

Answer:

Line QT and QS is the geometric mean of RT because QT and QS added and divided by 2 will equal the middle of both sums.

T is the midpoint of segments QT and QS

3 0
3 years ago
Please answer fast! I need a lot of help
Vlad1618 [11]

Answer:

24

Step-by-step explanation:

you would multiply 12 time 2

8 0
3 years ago
Read 2 more answers
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