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3 years ago

Graph the circle: x2 + y2 + 10x +6y +18 = 0

Mathematics

1 answer:

Karolina [17]3 years ago

4 0

Answer:

Circle with centre, (-5, -3) and radius 4

Step-by-step explanation:

$(x+5)^2-25+(y+3)^2-9+18 = 0\\(x+5)^2 + (y+3)^2 = 16$

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6 12/17 a rational number

Mkey [24]

Answer:

Yes

Step-by-step explanation:

Rewrite the mixed number into an improper fraction...

6 12/17 becomes 114/17

The definition of a rational number is any number a/b where b does not equal zero. 114/17 satisfies this requirement, so it is a rational number

4 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2

yawa3891 [41]

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

$f(x)=e^{(\ln2)x}-2$

Now, similarly from the graph the function of g(x) can be written as,

$g(x)=-3e^{(\ln2)x}+6$

Further, the equation of function g(x) in terms of f(x) can be written as,

g(x) = -3[f(x)]

Learn more about Equation:

brainly.com/question/2263981

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4 0

2 years ago

Andy and Christopher are measuring a liquid solution using graduated cylinders, Andy uses 3.5 liters of the liquid solution, and

Gre4nikov [31]

Answer:

$Ratio = 0.74$

Step-by-step explanation:

Represent

- Andy with A

- Christopher with C

$A = 3.5L$

$C = 2580mL$

Required

Determine the ratio of C to A

Ratio is represented as thus:

$Ratio = C:A$

Rewrite as fraction

$Ratio = \frac{C}{A}$

This gives

$Ratio = \frac{2580mL}{3.5L}$

Convert L to mL

$Ratio = \frac{2580mL}{3.5*1000mL}$

$Ratio = \frac{2580mL}{3500mL}$

$Ratio = \frac{2580}{3500}$

$Ratio = 0.73714285714$

$Ratio = 0.74$ --- Approximated

6 0

3 years ago

How do you find the area of a triangle when given only the lengths of three sides?

SashulF [63]

Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

$s = \dfrac{a + b + c}{2}$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

$s = \dfrac{a + b + c}{2}$

$s = \dfrac{3 + 4 + 5}{2}$

$s = 6$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

$area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)}$

$area = \sqrt{6(3)(2)(1)}$

$area = \sqrt{36}$

$area = 6$

3 0

2 years ago

I cannot figure this problem out

sveta [45]

Answer:

31 customers

Step-by-step explanation:

First, find the percentage of customers who wore a large. This is 26/(26 + 52), or 1/3 of the customers. Take 1/3 of the new customers, and 1/3 of 93 is 31. 31 customers will wear a size large.

Hopefully this helps! Let me know if you have any questions

7 0

3 years ago