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sergey [27]
3 years ago
10

The measure of a side of a square is x units. A new square is formed with each side 6 units longer than the original squares sid

e. Write an expression to represent the area of the new square.
Mathematics
1 answer:
xenn [34]3 years ago
4 0
We know that
[area old square]=x*x--------> x²

[area new square]=(x+6)*(x+6)-------> (x+6)²-----> A=x²+12x+36

the answer is  
An <span>expression to represent the area of the new square is (</span>x²+12x+36)
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A triangular prism and two nets are shown:
leonid [27]
The net for a triangular prism consists of 
2 identical triangles, here all nets have sides 5,12, and 13.
3 rectangles, all with a common dimension: the height H=14 of the prism.

Each of the 3 rectangles should have dimensions
H=14 plus one of the following:
each of 5, 12, 13 corresponding to one side of the base (triangle).

So the dimensions of the rectangles are
5x14, 12x14, 13x14

And dimensions of the triangles are
5,12 and 13.

The total surface area is therefore
(5+12+13)*14 + 2*(5*12/2)
=420+60
=480.

There is only one net that satisfies this condition.

8 0
3 years ago
What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
Orlov [11]

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

8 0
3 years ago
I have no idea. Please I need just answers. Thank you. ​
igomit [66]

Answer:

Step-by-step explanation:

1km = 1000m

5a. 5.768km = 5768m = 57.7m

5b. 9.039km = 9039m = 90.4m

5c. 8.48km = 8480m = 84.8m

5d. 17.685km = 17685m = 17.7m

5e. 17.658km = 17658m = 17.7m

To round to the nearest 100m just divide by 100 and then round it off. like 57.68=57.7m because 8 is more than 5 so 6 becomes 7 to one decimal.

Rule is applied for all the other questions too.

3 0
3 years ago
Parallel lines x and w are cut by transversals z and y and form 4 angles at each intersection. Where line x intersects with line
Sunny_sXe [5.5K]

Answer:

m∠1°= 75°

m∠2°= 105°

Step-by-step explanation:

It's on edg.

5 0
2 years ago
Read 2 more answers
A cylindrical Is half full of oil The cylinder Has a base radius of 100 cm The height of the cylinder 250cm 1 litres = 1000cm3 H
Softa [21]

Answer:

V=3926.99 liters

Step-by-step explanation:

cylindrical Is half full of oil The cylinder Has a base radius of 100 cm The height of the cylinder 250cm 1 litres = 1000cm3 How many litres of oil are in the tank?

Volume of a cylinder can be calculated using below formula

V=π r^2 h

Where r= radius

h= height

radius = 100 cm

h=250cm

But the cylinder is half filled, then the formula becomes

V=(π r^2 h) × 1/2

Then substitute the values we have

V=( π × 100^2 ×250) × 1/2

V=3926990 cm^3

But 1 litres = 1000cm3

Then V=(3926990 cm^3)/ 1000

V=3926.99 liters

4 0
2 years ago
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