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uranmaximum [27]

3 years ago

13

I need help and the steps to this problem

2 answers:

g100num [7]3 years ago

8 0

The answer would be letter D

andrew-mc [135]3 years ago

4 0

The answer will be (D)

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What is the gcf of 42 and 60

ivolga24 [154]

Answer:

The GCF of 42 and 60 is 6

Step-by-step explanation:

42: 1,2,3,6,7,14,21,42

60: 1,2,3,4,5,6,10,12,15,20,30,60

4 0

3 years ago

Read 2 more answers

Which triangle congruence is this?<br> SSS<br> SAS<br> ASA<br> AAS<br> HL

MrRissso [65]

Answer:

HL

Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

7 0

3 years ago

Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel

timama [110]

Answer:

$\displaystyle A=\frac{1}{192}$

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

$P=4x+3y$

We know the total fencing is 1/2 miles long, thus

$\displaystyle 4x+3y=\frac{1}{2}$

Solving for x

$\displaystyle x=\frac{\frac{1}{2}-3y}{4}$

The total area of the pasture is

$A=x.y$

Substituting x

$\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y$

$\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}$

Differentiating with respect to y

$\displaystyle A'=\frac{\frac{1}{2}-6y}{4}$

Equate to 0

$\displaystyle \frac{\frac{1}{2}-6y}{4}=0$

Solving for y

$\displaystyle y=\frac{1}{12}$

And also

$\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}$

Compute the second derivative

$\displaystyle A''=-\frac{3}{2}.$

Since it's always negative, the point is a maximum

Thus, the maximum area is

$\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}$

6 0

3 years ago

2x-4/5=4<br> plsss answer quick

nikdorinn [45]

Answer:

<h2>x = 12</h2>

Step-by-step explanation:

$\frac{2x - 4}{5} =4$

First of all multiply through by 5 to eliminate the fraction

That's

$5 \times \frac{2x - 4}{5} = 4 \times 5 \\ 2x - 4 = 20$

Next using the addition property add 4 to both sides of the equation

We have

$2x - 4 + 4 = 20 + 4 \\ 2x = 24$

<u>Divide both sides by 2</u>

$\frac{2x}{2} = \frac{24}{2}$

We have the final answer as

<h3>x = 12</h3>

Hope this helps you

6 0

3 years ago

Read 2 more answers

If a polynomial function f(x)has root -2 + square root 8 and 9 what must be a factor of f(x)

Rasek [7]

Answer:

$(x+2-\sqrt{9}) , (x-2+\sqrt{9}) ,(x-9)$

Step-by-step explanation:

Given that f(x) is a polynomial function.

This implies that f(x) has x terms of positive integral degrees and also rational coefficients only.

Since an irrational root is given a root of f(x), we find that its conjugate also should be a root of f(x)

i.e. If $-2+\sqrt{8}$ is a root, then $-2-\sqrt{8}$ is also a root.

(Because this only when multiplied will make coefficients rational)

So the factors of f(x) should be atleast

$(x+2-\sqrt{9}) , (x-2+\sqrt{9}) ,(x-9)$

There can be other factors also but this is compulsory

7 0

3 years ago