Which property is illustrated?

Mathematics

1 answer:

aleksley [76]3 years ago

4 0

Option e: associative property of addition

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Find the area of the triangle answer in digital format only

IceJOKER [234]

Answer:

Step-by-step explanation:

Assume that each cell on the grid represents one unit. One can use the formula, ( $A=\frac{(base)(hieght)}{2}$ ) to find the area of the triangle. One can see that the base of the triangle is, (11), and the height is (6). Substitute in the given values and solve for the area,

$A=\frac{(11)*(6)}{2}$

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julsineya [31]

When (2x-20)＋86＝0
2x-20＝-86
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3 years ago

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S_A_V [24]

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3 years ago

Use the definition mtan=lim

Leokris [45]

(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:

$\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h$

Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that

$m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x$

and so the slope of the line at P (0, 9), for which we take x = 0, is 0.

(b) The equation of the tangent line is then y = 9.

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2 years ago