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3 years ago

The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 6,9,7

Mathematics

1 answer:

katrin2010 [14]3 years ago

7 0

Answer : acute
Right triangle : a^2+b^2=c^2
Acute triangle : a^2+b^2 > c^2
Obtuse triangle:a^2+b^2 < c^2
6^2+7^2 > 9^2

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Write an equation in slope-intercept form of the line that passes through (-1,-3) and is parallel to the graph of y=4.

strojnjashka [21]

Use the point slope equation: y - y1 = m(x - x1)

(-1, -3); m = 4
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y - (-3) = 4(x - -1)
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3 years ago

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Find the rate of change for the situation. A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people. 36 p

Alenkasestr [34]

Answer:

C. 1/4 lb of chicken per person

Step-by-step explanation:

Find the rate of change for the situation.

A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people.

A. 9/17lb per person

B. 4 lb per person

C. 1/4 lb per person

D. 36 people

Solution

9 lbs of chicken for 36 people

Chicken per person = Total lbs of chicken / Total number of people

= 9 lbs / 36 people

Chicken per person = 1/4 lb of chicken per person

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Chicken per person = Total lbs of chicken / Total number of people

= 17 lbs / 68 people

= 1/4 lb of chicken

Chicken per person = 1/4 lb of chicken per person

Therefore, the rate of change of the situation = 1/4 lb of chicken per person

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3 years ago

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Black_prince [1.1K]

Answer:

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Step-by-step explanation:

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$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

$D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}$

It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

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