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4 years ago

Plz help ill give brainlist to you

Mathematics

1 answer:

dusya [7]4 years ago

8 0

Hey there!

To start, first set up your expression like this:
(5x+17)-(3x-4)

You must set up your expression like this since in subtraction, order matters and the problem asks for the difference between the first plant and the second plant, respectively, meaning you must follow in this order.

Now, simplify:
(5x+17)-(3x-4)
(5x+17)+(-3x+4)
2x+21

Therefore, the difference the two companies would be 2x+21.

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Solve x^2- 8x = 20 by completing the square. Which is the solution set of the equation?

yanalaym [24]

The solution is -2 and 10

5 0

3 years ago

The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side

snow_tiger [21]

Answer:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

Step-by-step explanation:

Represent:

The opposite with a
The adjacent with b
The hypotenuse with c

Given that:

$c = 1 + a$

$c = 4 + 3b$

Required

Solve for a, b and c

$c = c$

So, we have:

$1 + a = 4 + 3b$

Subtract 1 from both sides

$a = 4 -1 + 3b$

$a = 3 + 3b$

Apply Pythagoras Theorem

$c^2 = a^2 + b^2$

Substitute 3 + 3b for a and 4 + 3b for c

$(4 + 3b)^2 = (3 + 3b)^2 + b^2$

Open brackets

$16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2$

$16 + 24b+9b^2 = 9 + 18b+10b^2$

Collect Like Terms

$10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0$

$b^2 - 6b -7 = 0$

Expand

$b^2 +b-7b-7=0$

Factorize:

$b(b+1)-7(b+1) =0$

$(b-7)(b+1) = 0$

Split:

$b - 7 = 0\ or\ b+1=0$

$b = 7\ or\ b=-1$

But the adjacent of a triangle can't have a negative measurement.

So:

$b = 7$

Recall that:

$c = 4 + 3b$

$a = 3 + 3b$

Substitute 7 for b in the above expressions

$c = 4 + 3 * 7$

$c = 4 + 21$

$c = 25$

$a = 3 + 3 * 7$

$a = 3 + 21$

$a = 24$

Hence, the dimensions of the triangle are:

$Hypotenuse = 25cm$

$Opposite = 24cm$

$Adjacent = 7cm$

5 0

3 years ago

The mean of four consecutive even numbers is 15. The greatest of these numbers is a1. The least of these numbers is a2.

skad [1K]

X + (x + 2) + ( x + 4) + (x + 6)
-----------------------------------   = 15
   4

4x + 12
--------- = 15
    4

Multiply by 4 on both sides

4x + 12 = 60
subtract 12 from both sides
4x = 48
divide by 4 on each side
x = 12
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x + 6 = 18

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3 years ago

What two numbers multiply to 120 and add to -26

Arisa [49]

The two numbers are -6 and -20

-20 x -6 = 120

-20 + (-6) = -26

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3 years ago

What is the measure ?

Ivenika [448]

Check the picture below.

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3 years ago