Please help me I need a good grade I really need this or ,y mom will spank me please help me ¡!!!

Ben is 6 feet tall. He pounds a stake into the ground until only 1 foot of it is remaining out of the ground. It’s shadow is six

Mekhanik [1.2K]

Answer: 3 feet, or 36 inches.

6 0

3 years ago

Why is it mathematically legal to multiply 2 √ 2 by √ 2 √ 2 in order to rationalize the denominator?

Gala2k [10]

Well if you're referring to rationalizing $\bf \cfrac{2}{\sqrt{2}}$ , which simply means, getting rid of the pesky radical at the bottom

well, it boils down to, hmm say... a quantity or even a polynomial, multiplied times 1, is itself, 2*1=2, 3*1 = 3, ducks*1 = ducks, spaghetti * 1 = spaghetti

or whatever * 1 = whatever
and the value of the multiplicand, doesn't change in anyway, is the same thing before and after the multiplication by 1

now....1 can also be a fraction $\bf \cfrac{2}{2}=1\qquad \cfrac{3}{3}=1\qquad \cfrac{1,000,000}{1,000,000}=1
\\\\\\
\cfrac{ducks}{ducks}=1\qquad \cfrac{spaghetti}{spaghetti}=1\qquad \cfrac{cheese}{cheese}=1
\\\\\\
\cfrac{\textit{the quick fox jumped}}{\textit{the quick fox jumped}}=1\qquad \cfrac{whatever}{whatever}=1$

so.. when you're doing $\bf \cfrac{2}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\iff \cfrac{2}{\sqrt{2}}\cdot1$

and the value multiplicand doesn't change in any way

now, try this in your calculator $\bf \cfrac{2}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{2\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{2\sqrt{2}}{2}\implies \sqrt{2}\\\\
-----------------------------\\\\
\textit{check how much is }\cfrac{2}{\sqrt{2}}\textit{ in your calculator}
\\\\\\
\textit{then check how much is }\sqrt{2}\textit{ in it}$

6 0

3 years ago

What is an equation of the line that passes through the points (6, 0) and (-1, -7)?

Orlov [11]

Answer:

y = x - 6

Step-by-step explanation:

We want to write a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope, which is just the change in the y-coordinates divided by the change in the x-coordinates:

slope = m = $\frac{6-(-1)}{0-(-7)} =\frac{7}{7}=1$

Our equation now looks like this: y = x + b

Now, to find the y-intercept, let's use one of the points provided and plug those values of x and y into the incomplete equation we have to solve for b:

0 = 6 + b ⇒ b = -6

So, the equation is: y = x - 6.

Hope this helps!

6 0

3 years ago

HELP!! express the following decimal as a percent. 1.544

Mashcka [7]

To convert 1.544 to percent multiply by 100

1.544 × 100 = 154.4 %

3 0

3 years ago

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A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di