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tensa zangetsu [6.8K]

3 years ago

10

A hot air balloon went from an elevation of 4,940 feet to an elevation of 3,122 feet in 36 minutes. What was its rate of descent

?

1 answer:

12345 [234]3 years ago

5 0

5151-3317=1834 feet 38 minutes

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I need help<br> <img src="https://tex.z-dn.net/?f=%5Cbf%203x-5%3D16" id="TexFormula1" title="\bf 3x-5=16" alt="\bf 3x-5=16" alig

photoshop1234 [79]

Answer: x = 7

Step-by-step explanation:

do opposites to both sides. what is the opposite of -5? it would be plus 5.

add 5 to both sides

3x = 21

now what is the opposite of 3 times x? 3 divided by.

divide 3 to both sides

x = 7

4 0

3 years ago

Read 2 more answers

Point B is 1/4 of the way from A-to-C. what are the coordinates of C? A(-4,-5) B (12,6)

Irina18 [472]

Answer:

Step-by-step explanation:

$\overline{AB}=(12-(-4))i+(6+5)j=16i+11j$

Since AB is 1/4 of AC then

$AC = 4 AB\\AC = 4(16i +11j) = 64i+44j$

Now

$\overline{OC}=\overline{OA}+\overline{AC}\\=(-4i -5j) + (64i+44j)\\=60 i +39j$

Therefore C(60,39).

5 0

3 years ago

Write an absolute value equation for the graph shown below

BabaBlast [244]

So, hmmm keeping in mind that, an absolute value expression is in effect a piece-wise function, let's find its "slopes", the negarive slope on the left-side and the positive slope on the right side, and let's use the vertex point as our first point

what is the slope of a line that passes through (2, -1) and (0,7)

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 
% (c,d)
&({{ 0}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{7-(-1)}{0-2}\implies \cfrac{7+1}{-2}\implies -4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=-4(x-2)
\\\\\\
\boxed{y+1=-4(x-2)}$

now, what is the slope of a line that passes through (2, -1) and (4,7)

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 
% (c,d)
&({{ 4}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{7-(-1)}{4-2}\implies \cfrac{7+1}{2}\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-1)=4(x-2)
\\\\\\
\boxed{y+1=4(x-2)}$

since an absolute value expression is just a piece-wise with a +/- versions, then we can just combine those two.

$\bf \begin{cases}
y+1=-4(x-2)\\
y+1=4(x-2)
\end{cases}\implies y+1=\pm 4(x-2)
\\\\\\
y+1=|4(x-2)|\implies y=|4(x-2)|-1$

7 0

3 years ago

What is the mean of the following data values? 22,37,49,15,82

densk [106]

There are 5 data values.

Mean = (22 + 37 + 49 + 15 + 83) / 5 = 41.2

7 0

3 years ago

Read 2 more answers

loris [4]

Answer:

A,C

Step-by-step explanation:

sin 2x=sin (x+x)=sinx cos x+cos x sin x=2 sin x cos x

or =2 cos x sin x

[sinx cox=cos x sin x ]

6 0

3 years ago