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3 years ago

Find the area. The figure is not drawn to scale.

Mathematics

1 answer:

VMariaS [17]3 years ago

4 0

The figure on the top left is a triangle with base 11 and height 8, for an area of

$A_1=\dfrac{11\cdot 8}{2}=44$

Immediately below, we have a rectangle with dimensions 11 and 9, for an area of

$A_2=11\cdot 9=99$

Moving to the right, we have a parallelogram with base 9 and heght 11, which again has height

$A_3=11\cdot 9=99$

Finally, the rightmost figure is a triangle with base 8 and height 9, for a total of

$A_4=\dfrac{8\cdot 9}{4}=36$

Sum these areas and you'll get the total area

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4 1/2

Step-by-step explanation:

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3 years ago

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3 years ago

The point P(5, −4) lies on the curve y = 4/(4 − x).

dalvyx [7]

Answer:

Step-by-step explanation:

Slope refers to the steepness of the line.

Slope is equal to change in value of y divided by change in value of x.

The slope of the secant line is given by $\frac{f(x)-f(a)}{x-a}$ .

Given points are $P\left ( 5,-4 \right )\,,\,Q\left ( x,\frac{4}{4-x} \right )$

So, slope of the secant line is $\frac{\frac{4}{4-x}+4}{x-5}=\frac{4+4(4-x)}{(x-5)(4-x)}=\frac{20-4x}{(x-5)(4-x)}=\frac{-4(x-5)}{(x-5)(4-x)}=\frac{-4}{4-x}=\frac{4}{x-4}$

(i) At x = 4.9,

$\frac{4}{4.9-4}=\frac{4}{0.9}=4.444444$

(ii) At x = 4.99,

$\frac{4}{4.99-4}=\frac{4}{0.99}=4.040404$

(iii) At x = 4.999,

$\frac{4}{4.999-4}=\frac{4}{0.999}=4.004004$

(iv) At x = 4.9999,

$\frac{4}{4.9999-4}=\frac{4}{0.9999}=4.0004$

(v) At x =5.1,

$\frac{4}{5.1-4}=\frac{4}{1.1}=3.636364$

(vi)

At x = 5.01,

$\frac{4}{5.01-4}=\frac{4}{1.01}=3.960396$

(vii) At x = 5.001,

$\frac{4}{5.001-4}=\frac{4}{1.001}=3.996004$

(viii) At x = 5.0001,

$\frac{4}{5.0001-4}=\frac{4}{1.0001}=3.9996$

(b)

Slope of the tangent line is 4.

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3 years ago

Which expression is equivalent to 4sqrt x^10

Alex777 [14]

Answer:

$4x^{5}$

Step-by-step explanation:

It could also be $x^{2}$ $\sqrt{x}$ depending on how the problem is actually set up.

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3 years ago

Help me on number problem 4 please

kakasveta [241]

Answer:

y = -1/4x + 3

Step-by-step explanation:

Because you are finding the perpendicular slope, you need to find the negative reciprocal of the original line, which would be -1/4. You then use point slope form to find the y-intercept with the slope and given point:

y - 5 = -1/4(x + 8). That equals to y = -1/4x + 3.

So the equation of this line is y = -1/4x + 3.

7 0

3 years ago