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3 years ago

Ethans solution and reasoning for solving an equation are shown below:

Mathematics

1 answer:

LuckyWell [14K]3 years ago

3 0

Answer:

Reason 4 is wrong in Ethan's solution.

Step-by-step explanation:

Reason 4 is incorrect because at this step in the answer we already have one variable which is unknown on the left side and then one constant which can be seen on the right. So, instead of multiplying the fractions the way Ethan is doing, all you need to do now is just simplify the expression instead of complicating the step.

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Y2 +4y+1 ; y = -2 . y2-1

morpeh [17]

Step-by-step explanation:

y2+4y+1=0. where, y=-2

(-2)2+4(-2)+1

-4-8+1=0

-12+1=0

-11=0

5 0

4 years ago

The perimeter of a triangle is 42 yards. The first side is 5 yards shorter than the

nata0808 [166]

Answer: Is your question "What is the length of each side?"

Let x = the length of the second side

Let x - 5 = the length of the first side

Let (x - 5) - 2 = the length of the third side

P = a + b + c

x + x - 5 + x - 7 = 42

3x - 12 = 42

3x = 54

x = 18 yards

x - 5 = 13 yards

x - 7 = 11 yards

Step-by-step explanation:

7 0

2 years ago

What is the volume of the square pyramid shown to the nearest tenth? The figure is not drawn to scale. width of 16 and a length

valentinak56 [21]

Answer:

1450.67

Step-by-step explanation:

V=a^2 x h/3

7 0

4 years ago

Read 2 more answers

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

4 years ago

-f=-100 solve for f f= wold the answer be 1

marshall27 [118]

1 is incorrect. to solve for f, you have to get it alone, and right now you have a negative sign in your way.

you can eliminate the negative by dividing both sides by -1:

-f = -100

divide by -1 to cancel out the - in front of f

f = 100

6 0

4 years ago