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Alex_Xolod [135]
1 year ago
10

Need help with graph

Mathematics
1 answer:
andre [41]1 year ago
4 0

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

The domain is the values of x between 1 and 7

The range

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Find an equation of the line containing the centers of the two circles whose equations are given below.
Anna35 [415]

Answer:

<h2><em>3y+x = -5</em></h2>

Step-by-step explanation:

The general equation of a circle is expressed as x²+y²+2gx+2fy+c = 0 with centre at C (-g, -f).

Given the equation of the circles x²+y²−2x+4y+1  =0  and x²+y²+4x+2y+4  =0, to  get the centre of both circles,<em> we will compare both equations with the general form of the equation above as shown;</em>

For the circle with equation x²+y²−2x+4y+1  =0:

2gx = -2x

2g = -2

Divide both sides by 2:

2g/2 = -2/2

g = -1

Also, 2fy = 4y

2f = 4

f = 2

The centre of the circle is (-(-1), -2) = (1, -2)

For the circle with equation x²+y²+4x+2y+4  =0:

2gx = 4x

2g = 4

Divide both sides by 2:

2g/2 = 4/2

g = 2

Also, 2fy = 2y

2f = 2

f = 1

The centre of the circle is (-2, -1)

Next is to find the equation of a line containing the two centres (1, -2) and (-2.-1).

The standard equation of a line is expressed as y = mx+c where;

m is the slope

c is the intercept

Slope m = Δy/Δx = y₂-y₁/x₂-x₁

from both centres, x₁= 1, y₁= -2, x₂ = -2 and y₂ = -1

m = -1-(-2)/-2-1

m = -1+2/-3

m = -1/3

The slope of the line is -1/3

To get the intercept c, we will substitute any of the points and the slope into the equation of the line above.

Substituting the point (-2, -1) and slope of -1/3 into the equation y = mx+c

-1 = -1/3(-2)+c

-1 = 2/3+c

c = -1-2/3

c = -5/3

Finally, we will substitute m = -1/3 and c = 05/3 into the equation y = mx+c.

y = -1/3 x + (-5/3)

y = -x/3-5/3

Multiply through by 3

3y = -x-5

3y+x = -5

<em>Hence the equation of the line containing the centers of the two circles is 3y+x = -5</em>

5 0
3 years ago
72 inches=___ yards please and thank you for your help
I am Lyosha [343]

We know that:

1yd=36in\text{.}

Then:

1in=\frac{1}{36}yd\text{.}

Therefore:

72in=72\cdot(\frac{1}{36}yd)\text{.}

Simplifying the above result we get:

72\cdot\frac{1}{36}yd=2yd\text{.}

Answer:

72\text{inches}=2\text{yards.}

6 0
1 year ago
Can someone help me???
Mumz [18]

Answer:

p to the power of 12

Step-by-step explanation:

hope this helps!

4 0
2 years ago
Read 2 more answers
Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same
VashaNatasha [74]


After Greg makes the pudding 1 time, it takes him f(1)=2(0.8) ^{1}=1.6 hours to make it.

After Greg makes the pudding 2 times, it takes him f(2)=2(0.8) ^{2}=1.28 hours to make it

After Greg makes the pudding 2 times, it takes him f(3)=2(0.8) ^{3}=1.024 hours to make it

so The function is f(x)=2(0.8) ^{x}

Answer: f of x equals 2 multiplied by 0.8 to the power of x
4 0
3 years ago
1) Which of the following is a surd ? a) 64 b) 6 root 64 c) 4 root 64 d) 3 root 64
Mashcka [7]

Answer:

  \text{c) }\sqrt[4]{64}=2\sqrt[4]{4}

Step-by-step explanation:

\text{a) }64\qquad\text{an integer; not a surd}\\\\\text{b) }\sqrt[6]{64}=2\qquad\text{an integer; not a surd}\\\\\text{c) }\sqrt[4]{64}=2\sqrt[4]{4}\qquad\textbf{a surd}\\\\\text{d) }\sqrt[3]{64}=4\qquad\text{an integer; not a surd}

5 0
2 years ago
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