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3 years ago

Find x if AC = 7x - 15 and BD = 4x + 15

Mathematics

2 answers:

vredina [299]3 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

7x - 15 = 4x + 15

7x - 4x = 15 + 15

3x = 30

x = 10

Finger [1]3 years ago

4 0

Answer:

x = 10

Step-by-step explanation:

Given that AC and BD are congruent , then

7x - 15 = 4x + 15 ( subtract 4x from both sides )

3x - 15 = 15 ( add 15 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

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Step-by-step explanation:

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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.

3 0

3 years ago