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quester [9]
3 years ago
13

Which statement belongs in the Perimeter section of the Venn Diagram?

Mathematics
2 answers:
Katen [24]3 years ago
8 0
The answer would be A
Free_Kalibri [48]3 years ago
5 0

A. The distance around a closed figure is the correct answer.

Explanation:

The definition of perimeter is : The summation of the outer sides of any closed figure. Like in a rectangle, its the sum of all the four sides. In a circle, its the measure of the outline of the circle also called the circumference.

Hence, the distance around a closed figure is called its perimeter.

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Find the equation of line passing through points A (1, 3) and B (3, 7).
Sidana [21]

Solution:

To find the equation of line passing through points A (1, 3) and B (3, 7).

we know that, to derive the equation of a line we first need to calculate the slope of the line. Slope m of a line at points (x_{1} ,y_{1}) and (x_{2}, y_{2}) is given by - m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Slope of the line at point A(1,3) and B(3,7)

m=\frac{7-3}{3-1}.

m=\frac{4}{2}.

m=2.

Equation of a line using a point and a slope , y-y_{1}= m(x-x_1)

y-3= 2(x-1)

y-3= 2x-2

y= 2x-2+3

y= 2x+1

The equation of line passing through points A (1, 3) and B (3, 7) : y= 2x+1

4 0
3 years ago
In two or three sentences explain how you would solve for the real solutions of the following equation: please help asap!!
g100num [7]

the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

Step-by-step explanation:

   x^{3} = - 64

   x^{3} +64  = 0

   We can write 64 as  4^{3}

  x^{3} + 4^{3} = 0

  using the identity  ( x^{3}+y^{3} = (x+y)(x^{2} -xy+y^{2} ) )

we get,

  = (x+4) (x^{2} -x*4+4^{2} )

  = (x+4)(x^{2} -4x+16)    ....................(1)

 solving the quadratic equation  ,

   x^{2} -4x+16 =0

solutions of this quadratic equation can be obtained by

   x=-b +- \sqrt{b^{2}-4ac } /2a

let use y for factors

x=-(-4x)+-\sqrt{(-4x^{2} )-4*x^{2} *16}  / 2*x^{2}

x=4x+-\sqrt{16x^{2} -64x^{2} } /2x^{2}

x=4+-\sqrt{16-64}/2

x=4+-4\sqrt{3i} /2

<u />x=2+-2\sqrt{3i}    ..................(2)

from the equation 1 we have,

x-4=0

which gives solution x=4

and from equation 2 we got  x=2+-2\sqrt{3i}

so the real solutions for the equation x^{3}=-64 are -

x=4,2+-2\sqrt{3i}

3 0
2 years ago
Given the functions f(x)=1x−3+1 and g(x)=1x+4+3 .
SVETLANKA909090 [29]

Answer:

The graph shifts 7 units left and 2 units up.

Step-by-step explanation:

In transformations, when a number is added or subtracted to "x" directly, that is the left/right shift.

When a number is added or subtracted outside of the "rest" of the equation, that is the up/down shift.

I learned transformations with these variables:

f(x) = \frac{a}{k(x-c)} + d

"a" - vertical stretch (a > 1) or compression (0 < a < 1)

"k" - horizontal stretch (0 < k < 1) or compression (k > 1)

"c" - translate left (+) or right (-)

"d" - translation up (+) or down (-)

The untranslated graph is centred around the origin f(x) = 1/x

f(x) begins 3 units right and 1 unit up of the untranslated graph.

g(x) is 4 units left and 3 units up of the untranslated graph.

            y

g           |

            |           f

-----------|------------ x

There is a 7 units translation left and 2 units translation up.

6 0
3 years ago
Read 2 more answers
A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $155 for 100 minutes of us
torisob [31]

Answer:

The answer is D.

Step-by-step explanation:

As said in the problem, we are labeling the total minutes used <em>x </em>and the total monthly income as <em>y</em>. This means that in the graph we will be making the y-axis should represent the total monthly charges, and the x-axis should represent the total minutes.

Thus the graph should go through points (100,155) and (200,245) and its slope is:

\frac{245-155}{200-100} =0.9.

8 0
3 years ago
Read 2 more answers
10. Which equation could be used to solve the problem? Joan picked 4 bushels of apples in one hour. At that rate, how many bushe
Ratling [72]
The answer would be B. b = 8 * 4. If Joan picked 4 bushels of apples in an hour and the question wants to know how many bushels could be picked in 8 hours, its basically asking how many bushels are in 8 groups of 4.
4 0
3 years ago
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