1) Find the volume of the triangular prism.

Mathematics

1 answer:

VARVARA [1.3K]4 years ago

7 0

Answer:

I am not completely sure but I believe that it is C) 240 yd^3

Step-by-step explanation:

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The larger of two numbers is 7 times the smaller number. 3 times the larger number is 7 more than 4 times the smaller number. Fi

zhenek [66]

So the larger number is x, and the smaller number is y
7y=x
3x=7+4y

(So plug in the 7y=x information into the second equation)

3(7y)=7+4y
21y=7+4y
17y=7
y=7/17

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3 years ago

Which one isn't? anyone know the answer to it

soldier1979 [14.2K]

B.)greater than five but less than six

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3 years ago

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X² - 6x + 4 = 0<br><br> solve and show work. ...?

ycow [4]

The answer is 3 + √5 and 3 - √5.

This is quadratic equation: x² - 6x + 4 = 0
The general quadratic equation is ax² + bx + c = 0
Our equation can be rewritten: 1x² + (-6)x + 4 = 0
So, in our equation we have: a = 1, b = -6, c = 4

Now, x can be calculated using the formula: $x_{1,2}= \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a}$
$x_{1,2} =\frac{-(-6)+/- \sqrt{ (-6)^{2}-4*1*4 } }{2*1} = \frac{6+/- \sqrt{36-16} }{2} = \frac{6+/- \sqrt{20} }{2} =\frac{6+/- \sqrt{4*5} }{2}= \\ 
=\frac{6+/- \sqrt{4}* \sqrt{5} }{2} =\frac{2*3+/- 2\sqrt{5} }{2}= \frac{2(3+/- \sqrt{5}) }{2} =3+/- \sqrt{5}$

From here:
$x_{1} =3+ \sqrt{5} \\ 
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4 years ago

Use the parabola tool to graph the quadratic function f(x)=−5x2−2.

alexira [117]

$\text{Consider the quadratic function}\\
\\
f(x)=-5x^2-2\\
\\
\text{For a quadratic equation, }f(x)=ax^2+bx+c, \text{ we know that the x-coordinate}\\
\text{of the vertex (h,k) is given by}\\
\\
h=\frac{-b}{2a}\\
\\
\text{on comparing the given equation with standard equation, we have}$

$a=-5, b=0, c=-2\\
\\
\text{so the x-coordinate of the vertex is }\\
\\
h=-\frac{b}{2a}=-\frac{0}{2(-5)}=0\\
\\
\text{so plug this vlaue of the h in the given function to get the y-coordinate}\\
\text{of the vertex. so}\\
\\
f(x)=-5(0)^2-2=0-2=-2\\
\\
\text{hence the vertex of the parabola is: }(h,k)=(0,\ -2)\\
\\
\text{A second point on the graph can be found by putting x=1, so }\\
\\
f(1)=-5(1)^2-2=-5-2=-7\\
\\
\text{so one other point on the parabola is }(1,-7)$

The grpah of the quadratic function is shown below:

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4 years ago

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QveST [7]

I hope this helps you

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3 years ago

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