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3 years ago

The two pyramids below are similar. What is the length of the altitude of the smallest pyramid?

Mathematics

1 answer:

Scilla [17]3 years ago

4 0

9514 1404 393

Answer:

B. 24/9

Step-by-step explanation:

The linear dimensions are proportional in similar figures, so we have ...

altitude/side = x/4 = 6/9

Multiplying by 4 gives ...

x = 24/9 . . . . matches choice B

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the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the seque

stealth61 [152]

Answer:

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

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T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

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3 years ago

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zzz [600]

Answer:

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Step-by-step explanation:

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3 years ago

What does x equal 3.25x-2.5= -9.75x+4

Andrews [41]

X would be 0.5. Hope this helped

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3 years ago

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find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope = m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)$

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3 years ago

Help please !!!!!!!!!!!!

e-lub [12.9K]

Is this from k12? i am a k12 student, and the answer should be 2.2 units but I could be wrong.

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3 years ago