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2 years ago

Graph an inequality on a number line: 15>m

Mathematics

1 answer:

barxatty [35]2 years ago

5 0

When the sign is ≤ or ≥ ("less/greater than or equal to"), the dot if filled in.

When the sign is < or >, the dot is not filled in/open circle.

15 > m

[15 is greater than m, or m is less than 15]

Since m is less than 15, the arrow is going to the left (the numbers to the left are less than 15)

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Write the equation in standard form. Identity the center and radius. x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

Brian has an upcoming track meet in two weeks. In Preparation for the meet, Brian ran 3 and %

Softa [21]

Answer: 12.35 miles

3.5+2.75+6.1=12.35

I hope this is good enough:

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2 years ago

What is 845 divided by 13?

ioda

845 ÷ 13 = 65
Hope this helps :)

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2 years ago

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Show that f(x)=(x-2)^3+8 is one to one algebraically

Lelu [443]

What im thinking is this: F(a) = f(b) so have 2 equations written and plug a into one and b in the other

(a-2)^3+8 = a^3-8+8 = a^3

= a^3 = b^3 square root both side = a=b
(b-2)^3+8 = b^3-8+8 = b^3

Thus it is 1:1.

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3 years ago

Can you help me with the question please?

mote1985 [20]

Answer:

$\frac{1}{4} y \geqslant 8 =$

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2 years ago

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