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2 years ago

10 One of the legs of a right triangle has vertices with coordinates (-2,4) and (10,0).

1 answer:

7 0

The equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

<h3>How to find the equation of a line?</h3>

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (-2, 4) and (10, 0)

Find the slope

Slope = -4/12
Slope = -1/3

Determine the y-intecept

0 = -1/3(10) + b

b = 10/3

Determine the equation

y = -1/3x + 10/3

Hence the equation of the line of the other leg of the right triangle if it shares the vertice of (10,0) is y = -1/3x + 10/3

Learn more on equation of a line here: brainly.com/question/13763238

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Answer:

<em>35 words per minute. </em>

Step-by-step explanation:

To find the answer you have to divide <em>Minutes</em> by <em>Words Typed</em>.

105 ÷ 3 = 35.

175 ÷ 5 = 35.

315 ÷ 9 = 35.

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3 years ago

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3 years ago

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nadya68 [22]

Answer:

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3 years ago

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lara31 [8.8K]

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Please Help ASAP! Will name Brainliest! Question: Minimize the objective function P = 5x + 8y for the given constraints. x ≥ 0 y

maksim [4K]

Answer:

Option D.

Step-by-step explanation:

Minimize the objective function P = 5x + 8y for the given constraints.

$x\geq 0,y\geq 0$

$2x+3y\geq 15$

$3x+2y\geq 15$

The related equations of above inequalities are

$2x+3y=15$

$3x+2y=15$

For $2x+3y=15$ ,

x y

0 5

7.5 0

Plot (0,5) and (7.5,0) and join them by straight line.

For $3x+2y=15$ ,

x y

0 7.5

5 0

Plot (0,7.5) and (5,0) and join them by straight line.

Check the inequalities for (0,0).

$2(0)+3(0)\geq 15\Rightarrow 0\geq 15$ False

$3(0)+2(0)\geq 15\Rightarrow 0\geq 15$ False

It means both lines are solid lines and shaded region for each lies opposite side of (0,0).

From the below graph it is clear that the vertices of feasible region are (0,7.5), (3,3), (7.5,0).

Point P = 5x + 8y

(0,7.5) P=5(0)+8(7.5)=60

(3,3) P=5(3)+8(3)=15+24=39

(7.5,0) P=5(7.5)+8(0)=37.5 (Minimum)

So, minimum value is 37.5.

Therefore, the correct option is D.

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3 years ago