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ladessa [460]
3 years ago
7

What has two fewer sides than a heptagon

Mathematics
1 answer:
Citrus2011 [14]3 years ago
7 0
A heptagon has 7 sides, so 7-2=5
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Which of the following functions has a graph that is a line?
Semmy [17]

Answer:

Step-by-step explanation:

f(x)=x is a line.

3 0
3 years ago
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
Find the equation of a parabola with a focus at (0,-1) and a directrix at y = 4.
Anastasy [175]

Answer:

  y = -1/10x^2 +2.5

Step-by-step explanation:

The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:

  -1 -4 = -5

So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).

The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...

  y = (1/(4p))(x -h) +k

  y = -1/10x^2 +2.5

_____

You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.

5 0
3 years ago
The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m
SSSSS [86.1K]

Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

y'=68.5

Sy=2.7

General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

a=y'-b*x'\\a=68.5-0.54*64.5\\a=33.67

The equation regression line then is:

Y'=33.67+0.54*X'

4 0
3 years ago
3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leav
Delicious77 [7]

Answer:

There are 6 equilateral triangles

you get an isosceles triangle

the height of the equilateral triangle is 4

this is all I have so far :)

3 0
3 years ago
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