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3 years ago

~Please only answer if you know for sure~

Mathematics

1 answer:

labwork [276]3 years ago

6 0

$\frac{3}4$ of $540$ is $\frac{3\cdot540}4=405$ miles. Those will hence be traveled in $\frac{405}{45}=\boxed{9\text{ hours}}$

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create a perfect square trinomial that can be factored using special patterns. Factor the trinomial and show all work for full c

Lyrx [107]

Answer: $4x^2+12x+9$

Step-by-step explanation:

A perfect square trinomial is written as $ax^2+bx+c$ , where

first term $ax^2$ = square of first term of binomial

second term= $bx$ =twice the product of both terms of binomial.

and third term 'c'=square of last term of binomial

Thus to create a perfect square trinomial put 'a' and 'c' a square number

Let a=4 and c=9

The required trinomial will be

$4x^2+12x+9$

$=(2x)^2+2(2x)(3)+3^2\\=(2x+3)^2.......\text{[using pattern}(a+b)^2=a^2+2ab+b^2]\\=(2x+3)(2x+3)$

3 0

3 years ago

Read 2 more answers

M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ

Elenna [48]

2(x+3)= 3x-1
2x+6=3x-1
X=7
Therefore
YM = 7+3= 10
And by definition of midpoint YM=MZ so MZ=10

3 0

3 years ago

Please help it would be nice

Shtirlitz [24]

Answer:

Step-by-step explanation:

Soooo,

d = 2r

(29) = 2r

29/2 = 2r/2

14.5 = r

6 0

2 years ago

A map has a scale of 1:5000000000 .

erastova [34]

Considering the definition of scale, you obtain:

the real length of the road is 500,000 km.
the real area of the farm is 300 hectares.

<h3>Definition of map</h3>

A map is the conventional graphical representation of a portion of the earth or another celestial body that shows the size and position of elements of the landscape according to the selected scale and projection. That is, a map is a representation of a place, at a size smaller than the actual size.

<h3>Definition of scale</h3>

The scale of a cartographic representation, or map scale (m), is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. In general, it is also defined as the ratio of the lengths of a linear element in the plane and its representation on the terrestrial reference surface.

That is, the scale of the map is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

<h3>Real length of the road</h3>

A map has a scale of 1:5000000000. This indicates that 1 unit on the map is equivalent to 5,000,000,000 in reality.

You know that the road on the map is 10 cm or 0.0001 km long (knowing that 1 km= 100,000 cm).

Then you can apply the following rule of three: if by definition of scale 1 km on the map is equivalent to 5,000,000,000 km in reality, 0.0001 km on the map is equivalent to how much distance in reality?

$real length of the road=\frac{0.0001 kmx 5,000,000,000 km }{1 km}$

<u><em>real length of the road= 500,000 km</em></u>

Finally, the real length of the road is 500,000 km.

You know that the area of a farm of the map is 6 cm square, 0.0006 m sr 0.00000006 hectares (knowing that 1 cm square= 0.0001 m square and 10,000 m square= 1 hectare).

Then you can apply the following rule of three: if by definition of scale 1 hectare on the map is equivalent to 5,000,000,000 hectares in reality, 0.00000006 hectares on the map is equivalent to how much area in reality?

$real area of the farm=\frac{0.00000006 hectaresx 5,000,000,000 hectares }{1 hectare}$