Short Response 6. Are the triangles at the right simílar? Explain.

Mathematics

1 answer:

Taya2010 [7]3 years ago

5 0

Answer:

Yes they are similar because they are both right angles but the one on the right is bigger than the one on the left.

Step-by-step explanation:

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laila [671]

Answer:

C. 3a is correct.

Step-by-step explanation:

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3 years ago

Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of

miss Akunina [59]

So first. You need to convert to y = mx + b form, so to do that, subtract 5x from both sides, and you will have -6y = -5x + 9
Next, you need to divide by -6, and you get y = 5/6x + 1.5
Its good to note that for finding an equation that is perpendicular to that that equation, the slope is the opposite reciprocal. So, for the slope of your new line it is -6/5x.
So slope intercept form is y-y1 = m(x - x1) so to plug that in with the coordinates (-3, 5) you would have y - (-3) = -6/5(x - 5)
Then add the opposite and do the distributive property on the right side of the equation, so its y + 3 = -6/5x + 6
Then you would solve for y so subtract 3 and you end up with:
y = -6/5x + 3

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3 years ago

Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown. The height is S

Lubov Fominskaja [6]

<h2>Explanation:</h2><h2></h2>

We know that the volume of a prism is defined by:

$V=lwh \\ \\ \\ Where: \\ \\ l:length \\ \\ w:width \\ \\ h:height \\ \\ \\ l=\frac{d-2}{3d-9} \\ \\ w=\frac{4}{d-4} \\ \\ h=\frac{2d-6}{2d-4}$

Substituting values:

$V=\left(\frac{d-2}{3d-9}\right)\left(\frac{4}{d-4}\right)\left(\frac{2d-6}{2d-4}\right) \\ \\ \\ Simplifying: \\ \\ V=\frac{d-2}{3d-9}\cdot \frac{4}{d-4}\cdot \frac{d-3}{d-2} \\ \\ V=\frac{\left(d-2\right)\cdot \:4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)\left(d-2\right)} \\ \\ V=\frac{4\left(d-3\right)}{\left(3d-9\right)\left(d-4\right)} \\ \\ V=\frac{4\left(d-3\right)}{3\left(d-3\right)\left(d-4\right)}$