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2 years ago

What is the equation of the line that passes through the point (-7,-4) and has an undefined slope?

Mathematics

2 answers:

slava [35]2 years ago

3 0

Answer:

When the slope is UNDEFINED, that means the denominator of the slope formula is ZERO .

Slope formula = (y2 - y1)/(x2 - x1), and the graph is a VERTICAL line and the equation of the line is x =7 . Point (7, -4) is a point on the line.

Hope this helps...

vaieri [72.5K]2 years ago

3 0

Answer:

(-7, anything but 4)

Step-by-step explanation:

Since then you would have something like this

-4+5=1

-7+7=0

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I need to show the work. Please help

icang [17]

Answer:

x= 17,y = 8

Step-by-step explanation:

hope it helps

for any question comment me ❤❤

6 0

3 years ago

**Spam answers will not be tolerated**

Morgarella [4.7K]

Answer:

$f'(x)=-\frac{2}{x^\frac{3}{2}}$

Step-by-step explanation:

So we have the function:

$f(x)=\frac{4}{\sqrt x}$

And we want to find the derivative using the limit process.

The definition of a derivative as a limit is:

$\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Therefore, our derivative would be:

$\lim_{h \to 0}\frac{\frac{4}{\sqrt{x+h}}-\frac{4}{\sqrt x}}{h}$

First of all, let's factor out a 4 from the numerator and place it in front of our limit:

$=\lim_{h \to 0}\frac{4(\frac{1}{\sqrt{x+h}}-\frac{1}{\sqrt x})}{h}$

Place the 4 in front:

$=4\lim_{h \to 0}\frac{\frac{1}{\sqrt{x+h}}-\frac{1}{\sqrt x}}{h}$

Now, let's multiply everything by (√(x+h)(√(x))) to get rid of the fractions in the denominator. Therefore:

$=4\lim_{h \to 0}\frac{\frac{1}{\sqrt{x+h}}-\frac{1}{\sqrt x}}{h}(\frac{\sqrt{x+h}\sqrt x}{\sqrt{x+h}\sqrt x})$

Distribute:

$=4\lim_{h \to 0}\frac{({\sqrt{x+h}\sqrt x})\frac{1}{\sqrt{x+h}}-(\sqrt{x+h}\sqrt x)\frac{1}{\sqrt x}}{h({\sqrt{x+h}\sqrt x})}$

Simplify: For the first term on the left, the √(x+h) cancels. For the term on the right, the (√(x)) cancel. Thus:

$=4 \lim_{h\to 0}\frac{\sqrt x-(\sqrt{x+h})}{h(\sqrt{x+h}\sqrt{x}) }$

Now, multiply both sides by the conjugate of the numerator. In other words, multiply by (√x + √(x+h)). Thus:

$= 4\lim_{h\to 0}\frac{\sqrt x-(\sqrt{x+h})}{h(\sqrt{x+h}\sqrt{x}) }(\frac{\sqrt x +\sqrt{x+h})}{\sqrt x +\sqrt{x+h})}$

The numerator will use the difference of two squares. Thus:

$=4 \lim_{h \to 0} \frac{x-(x+h)}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}$

Simplify the numerator:

$=4 \lim_{h \to 0} \frac{x-x-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}\\=4 \lim_{h \to 0} \frac{-h}{h(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}$

Both the numerator and denominator have a h. Cancel them:

$=4 \lim_{h \to 0} \frac{-1}{(\sqrt{x+h}\sqrt x)(\sqrt x+\sqrt{x+h})}$

Now, substitute 0 for h. So:

$=4 ( \frac{-1}{(\sqrt{x+0}\sqrt x)(\sqrt x+\sqrt{x+0})})$

Simplify:

$=4( \frac{-1}{(\sqrt{x}\sqrt x)(\sqrt x+\sqrt{x})})$

(√x)(√x) is just x. (√x)+(√x) is just 2(√x). Therefore:

$=4( \frac{-1}{(x)(2\sqrt{x})})$

Multiply across:

$= \frac{-4}{(2x\sqrt{x})}$

Reduce. Change √x to x^(1/2). So:

$=-\frac{2}{x(x^{\frac{1}{2}})}$

Add the exponents:

$=-\frac{2}{x^\frac{3}{2}}$

And we're done!

$f(x)=\frac{4}{\sqrt x}\\f'(x)=-\frac{2}{x^\frac{3}{2}}$

5 0

2 years ago

Find the volume of the rectangular prism.<br> 9 cm<br> 9 cm<br> 9 cm

cricket20 [7]

Answer:

$3672 cm^3$

Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

24 cm

9 cm

17 cm

(otherwise, if all sides were 9 cm, it would be a cube, not a prism)

The volume of a rectangular prism is given by:

$V=l\cdot w\cdot h$

where:

l is the length of the prism

w is the width of the prism

h is the height prism

In this problem,

$l=24 cm$ (length)

$w=9 cm$ (width)

$h = 17 cm$ (height)

Therefore, the volume of the prism is:

$V=24\cdot 9 \cdot 17 = 3672 cm^3$

3 0

2 years ago

Find the product.<br> 2y2(3x+52)

Inga [223]

Answer:

this might be it : 12xy+228y

Step-by-step explanation:

you multiply 2 by 3 and get 6 and then multiply by 2 again and add they y

and then multiply 52 by 2 and gte 104 and them multiply by 2 and get 228 and add they y

6 0

2 years ago

I need help o really don't understand

aleksklad [387]

1/3+2/3=1 is the answer

7 0

2 years ago

Read 2 more answers