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Ainat [17]
3 years ago
14

Write an equation of the line passing through point P that is perpendicular to the given line:

Mathematics
2 answers:
Charra [1.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

This is one of those things that will drive you insane until you understand the answer.

Every y value is 4 no matter what x is.

The perpendicular will meet y = 4 at the point (6,4)

Answer: So the equation has to be x = 6.

The blue line is y = 4

The red line is x = 6

The point of intersection is marked.

Verizon [17]3 years ago
3 0

Answer:

x=6

Step-by-step explanation:

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{x{ x + 4<0 or 6x>-12)
lora16 [44]

Answer:

x\in (-\infty , -4) \cup (-2,+\infty)

Step-by-step explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

6x > -12

The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}

4 0
3 years ago
The number of <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle" class="latex-formula"> s
Alex777 [14]

Answer:

D. 4

Step-by-step explanation:

Without actually solving the equation, recall that for a=|b|, there are two cases:

\begin{cases}a=b, \\a=-b\end{cases}

In the given equation |x-2|^{10x^2-1}=|x-2|^{3x}, there are two pairs of absolute value symbols.

Since each has two cases, there must be a total of 2\cdot 2=\boxed{4} different equations created.

All four cases are:

\begin{cases}(x-2)^{10x^2-1}=(x-2)^{3x},\\(-x+2)^{10x^2-1}=(x-2)^{3x},\\(x-2)^{10x^2-1}=(-x+2)^{3x},\\(-x+2)^{10x^2-1}=(-x+2)^{3x}\end{cases}

Exponents differ, hence clearly there are four possible solutions to this equation.

You can solve for all four values of x by taking the log of both sides and using a bit of algebra to verify you have four solutions.

5 0
3 years ago
The sum of a number x and 2,496 is 17,377. What is the value of x?
SIZIF [17.4K]
Answer:

14,881

Explanation:

X + 2,496 = 17,377

17,377 - 2,496 = X

14,881 = X
5 0
3 years ago
There are 26 towels in a box and Mike needs 96 towels what does n represent in the number sentence below? 4 × 26 = n
professor190 [17]

Answer:

I'm pretty sure n represents 96, because 26×4=96

4 0
3 years ago
A pyramid with a square base that is 10 cm on a side has a height of 12 cm. The volume of the pyramid is cm3.a0
PolarNik [594]
The volume of a pyramid is computed by multiplying the base length, base width, and pyramid height and divide it by 3.
Volume = (base length x base width x height)/3
since this is a square, base length and width are equal.
w=l=10cm
h=12cm
Substituting the given values in the formula, we will get the volume of the pyramid
Volume=(10cmx10cmx12cm)/3
Volume= 400cm^3


8 0
3 years ago
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