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jekas [21]
3 years ago
12

Consider the line

Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

Answer:

y = 2x, y = 2x + 3

Step-by-step explanation:

When a line is dilated by a factor of "a", we multiply that by "a".

So when we dilate y = x by a factor of 2, the resulting equation is:

y = 2*x

y = 2x

When we translate "b" units up the resulting equation would be

y = x + b

Since we have y = 2x, now we will translate 3 units up, so it becomes:

y = 2x + 3

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german
Shushils age = 19.6
Stephens age 21.6
Krutikas age = 15.6

6 0
3 years ago
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Describe the roots of the polynomial function shown below.
Allisa [31]

Answer:

Graphically. As shown below, the roots of a polynomial are the values of x that make the polynomial zero, so they are where the graph crosses the x-axis, since this is where the y value (the result of the polynomial) is zero. The roots are the two green dots.

Step-by-step explanation:

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Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
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krok68 [10]

remember: a filled dot means it includes that point and an empty dot means it doesn't


A. has empty dot at 0 so x=0 is not incuded in the solution

B. has filled dot at x=0 so x=0 is a solution

C. has empty dot at 0 so x=0 is not incuded in the solution

D. the line doesn't even go over x=0 so not a solution


answer is B

8 0
3 years ago
I don't know what the answer is.
Ksenya-84 [330]

Answer:

C.) 87

Step-by-step explanation:

if you look at it from the other side, its counting down from 91 from the left.

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