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3 years ago

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Mathematics

2 answers:

Natalija [7]3 years ago

5 0

Answer with explanation:

Natural number=1,2,3,4,5.......................

Integers=-Infinity, -------10, -9,.......-3,-2,-1,0,1,2,3,4,5,6,...................Infinity

→→When we Multiply an Integer with natural number, we can get following integers.

1. A Negative Integer------[5. (-10)], [5.(-3)]

2. A Positive Integer-------[5.(10)]

3. Zero---------------------[5.0]

tekilochka [14]3 years ago

3 0

When you multiply a natural number with an integer it makes the sum negative but if you multiply two integers it makes the sum positive

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Use <,>< or = to compare these numbers 7.48 _ 7.42

horrorfan [7]

The correct sign is >

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3 years ago

What if a quadratic equation has an imaginary number in it?.

a_sh-v [17]

In relation to quadratic equations, imaginary numbers (and complex roots) occur when the value under the radical portion of the quadratic formula is negative. When this occurs, the equation has no roots (or zeros) in the set of real numbers. ... The complex roots in this example are x = -2 + i and x = -2 - i.

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3 years ago

How do you enlarge a triangle by scale factor 1 3?

Scilla [17]

We can enlarge a triangle by the scale factor of 1/3, by multiplying the shape by a scale factor of 1/3.

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A description of a dilation includes the scale factor (or ratio) and the center of the dilation.

• The center of dilation is a fixed point in the plane.

• If the scale factor is greater than 1, the image is an enlargement (a stretch).

• If the scale factor is between 0 and 1, the image is a reduction (a shrink).

• If the scale factor is 1, the figure and the image are congruent.

With all the vertices (corners) of the shape transformed, the enlarged shape can be drawn:

By multiplying the shape by a scale factor of 1/3,

the enlarged shape is a 1/3 of the size and a 1/3 the distance from the center of enlargement.

Hence, we can enlarge a triangle by the scale factor of 1/3, by multiplying the shape by a scale factor of 1/3.

To learn more about the dilation visit,

brainly.com/question/11914738

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7 0

1 year ago

Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c

-Dominant- [34]

Answer:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

$Cookies + Hot\ Dogs = 5$ --- (1)

And the amount spent can be represented as:

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$ --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

$Cookies + Hot\ Dogs = 5$ implies $c + h = 5$

And

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

$0.75c + 1.10h = 4.55$

Hence, the equations are:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Solving for c and h

Make c the subject in $c + h = 5$

$c = 5 - h$

Substitute 5 - h for c in $0.75c + 1.10h = 4.55$

$0.75(5- h) + 1.10h = 4.55$

$3.75- 0.75h + 1.10h = 4.55$

$3.75 +0.35h = 4.55$

Collect Like Terms

$0.35h = 4.55 - 3.75$

$0.35h = 0.8$

Solve for h

$h = 0.8/0.35$

$h = 2.28571428571$

$h =2$ -- approximated

Recall that:

$c = 5 - h$

$c = 5 - 2$

$c =3$

5 0

3 years ago

Which statement best describes Cheryl's commute? A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelera

NeX [460]

Answer:

C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.

Step-by-step explanation:

Assume the graph of Cheryl's commute was like the one below.

We see that she started at 0 mph.

One minute later, she was up to 65 mph, so she had accelerated (increased her speed).

At 6.5 min (5,5 min later) her speed was still 65 mph, so she was driving at a constant speed.

Over the next 2.5 min, her speed dropped to 45 mph, so she was decelerating.

6 0

3 years ago