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1 year ago

What is an equation of the line that passes through the points (2, -7)(2,−7) and (2, -2)(2,−2)

Mathematics

1 answer:

astra-53 [7]1 year ago

4 0

Answer:

X = 2

Step-by-step explanation:

Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0

The line is vertical (undefined

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Consider the radical equation (3√6-x)+4=-8. Explain why the calculation in Problem 1 does not produce a solution to the equation

murzikaleks [220]

Answer:

See explanation below

Step-by-step explanation:

<u>First we will solve the radical equation</u> (which I guess was problem 1),

Let's start by simplifying it:

$3\sqrt{6-x}+4=-8\\ 3\sqrt{6-x}=-8-4\\ 3\sqrt{6-x}=-12\\\sqrt{6-x}=-4$

Now we will solve the equation by squaring both sides of the equation:

$\sqrt{6-x} =-4\\6-x=-4^{2} \\6-x=16\\-x=16-6\\-x=10\\x=-10$

So the calculation for x was that x = -10

However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

$3\sqrt{6-x} +4= -8\\3\sqrt{6-(-10)} +4=-8\\3\sqrt{16}+4 = -8\\ 3(4)+4 = -8\\12 + 4 = -8$

This happens because <u>when we first squared both sides of the equation in the first part of the problem we missed one value for x </u>(remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.

When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.

6 0

2 years ago

A company manufactures acoustic guitars. The table shows the number of units that the company sold each month over a nine-month

KengaRu [80]

Answer:

i need this please

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

write a simplified polynomial expression in the standard form to represent the area of the rectangle below x-4 5x+2

Ann [662]

The area of the rectangle is $5x^{2} -18x-8$

Explanation:

One side of the rectangle is $x-4$

The another side of the rectangle is $5x+2$

The formula to find the area of the rectangle is length × width

Area = length × width

Substituting the values, we have,

$\begin{aligned}\text { Area } &=(x-4)(5 x+2) \\&=5 x^{2}+2 x-20 x-8 \\&=5 x^{2}-18 x-8\end{aligned}$

Thus, the area of the rectangle is $5x^{2} -18x-8$

3 0

2 years ago

Read 2 more answers

Please help me out with this

UNO [17]

Step-by-step explanation:

45+90+x=180

135+x=180

x=180-135

x=45

8 0

2 years ago

11. Little Sally Walker has a choice between going to an in-state college where she would pay

nalin [4]

Answer:

Step-by-step explanation:

Lets calculate first for in state college

yearly tuition fees = $3,500

monthly living expense = $700

one year has 12 months so yearly living expense =$700 * 12 = $8,400

Yearly expense of the in state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400) = $3,500 + $8,400 = $11,900

____________________________________________________

Lets calculate first for out of state college

yearly tuition fees = $6,000

monthly living expense = $400

one year has 12 months so yearly living expense =$400 * 12 = $4,800

Yearly expense of the out of state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400) = $6,000 + $4,800 = $10,800

____________________________________________________

3 0

2 years ago