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2 years ago

A fair charges $8 to enter and $0.50 per ticket. Write an algebraic expression to represent

Mathematics

2 answers:

lutik1710 [3]2 years ago

6 0

Answer:

t(total amount) = 8 + 0.5x

Step-by-step explanation:

insens350 [35]2 years ago

3 0

Y= .5x + 8

If you need me to explain anything I totally will

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What is the center and radius of x^2+6x+y^2-4y =-4?

Nat2105 [25]

Answer:

The center of this circle is at $(-3,\, 2)$ . The radius of this circle is $3$ .

Step-by-step explanation:

A circle with center $(a,\, b)$ and a radius of $r$ ( $r > 0$ ) could be expressed as:

$(x - a)^{2} + (y - b)^{2} = r^{2}$ .

(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)

Rearrange this equation using binomial expansion to match the equation given in this question:

$(x^{2} - 2\, a\, x + a^{2}) + (y^{2} - 2\, b\, y + b^{2}) = r^{2}$ .

$x^{2} + (-2\, a)\, x + y^{2} + (-2\, b)\, y = -a^{2} - b^{2} + r^{2}$ .

The equation in this question is:

$x^{2} + 6\, x + y^{2} + (-4)\, y = -4$ .

Match up the coefficients of $x$ and $y$ in the two equations.:

Coefficient of $x$ : $(-2\, a) = 6$ .
Coefficient of $y$ : $(-2\, b) = (-4)$ .

Thus, $a = (-3)$ and $b = 2$ .

The constants of the two equations should also match up:

$(-a^{2} - b^{2} + r^{2}) = (-4)$ .

Substitute in $a = (-3)$ as well as $b = 2$ and solve for $r$ :

$r^{2} = 9$ .

$r = 3$ (since $r > 0$ .)

Therefore, the center of this circle is $(-3,\, 2)$ . The radius of this circle is $3$ .

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2 years ago

What is the equation of the line that passes through (4, -1) and (-2, 3)?

natulia [17]

The equation of the line that passes through (4,-1) and (-2,3) is y=-2/3x+5/3. You have to use two points to find the equation. Use the formula y=mx+b to solve.

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3 years ago

Please help!!! Will give brainliest!!!

Crank

F(c)Have the greatest maximum

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2 years ago

<img src="https://tex.z-dn.net/?f=5%5Csqrt%7B2%7D%20%2F%20%5Csqrt%7B18" id="TexFormula1" title="5\sqrt{2} / \sqrt{18" alt="5\sqr

crimeas [40]

Answer:

Step-by-step explanation:

what is the question

8 0

2 years ago

Mr. Martin's math test, which is worth 100 points, has 35

AlekseyPX

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Further explanation:

The given system is a system of linear equations in two variables.

We will use the subsitution method to solve the system

Given equations are:

$x+y=35\\5x+2y=100$

From equation no 1:

$x+y=35\\x=35-y$

Putting x=35-y in second equation

$5x+2y=100\\5(35-y)+2y=100\\175-5y+2y=100\\-3y=100-175\\-3y=-75\\\frac{-3y}{-3}=\frac{-75}{-3}\\y=25\\Putting y=25 in first equation\\x+25=35\\x= 35-25\\x=10$

Hence,

Number of questions worth 5 points = 10

Number of questions worth 2 points = 25

Keywords: Linear Equations, Substitution method

Learn more about substitution method at:

#LearnwithBrainly

3 0

2 years ago

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