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2 years ago

PLS HELP ME ITS DUE AT 4

Mathematics

1 answer:

Westkost [7]2 years ago

4 0

Step-by-step explanation:

When you use the distributive property, you multiply everything inside the parentheses by the number outside of the parentheses. When you distribute, the equation becomes 5x+20=60 vs 5x+4= 60. Hope this helps!

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Answer:

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Step-by-step explanation:

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2 years ago

What’s the value of x in each triangle?

vazorg [7]

Answer:

 The value of x is 70°.

Step-by-step explanation:

Let's name the angle to the right of 125° as 'y'.

y = 180 - 125 (linear pair)

y = 55°

Now, we know that all the angles in a triangle sum up to 180°. (Angle Sum Property)

x = 180 - (55+55)

x = 180 - 110

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2 years ago

Mr. Jones' other friend Ms. O'Neill has "x" meters of fencing, what is the maximum area in square meters she can have?

Alexus [3.1K]

Answer:

$Max\ Area = \frac{x^2}{16}$

Step-by-step explanation:

Given

$P = x$ ---- the perimeter of fencing

Required

The maximum area

Let

$L \to Length$

$W \to Width$

So, we have:

$P = 2(L + W)$

This gives:

$2(L + W) = x$

Divide by 2

$L + W = \frac{x}{2}$

Make L the subject

$L = \frac{x}{2} - W$

The area (A) of the fence is:

$A = L * W$

Substitute $L = \frac{x}{2} - W$

$A = (\frac{x}{2} - W) * W$

Open bracket

$A = \frac{x}{2}W - W^2$

Differentiate with respect to W

$A' = \frac{x}{2} - 2W$

Set to 0

$\frac{x}{2} - 2W = 0$

Solve for 2W

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

Solve for W

$W = \frac{x}{4}$

Recall that:

$L = \frac{x}{2} - W$

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

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

$L = \frac{x}{4}$

So, the maximum area is:

$A = L * W$

$A = \frac{x}{4}*\frac{x}{4}$

$Max\ Area = \frac{x^2}{16}$

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2 years ago

What would happen to the variance of a data set if we multiplied every observation by S?

kipiarov [429]

The variance of a constant is zero. Rule 2. Adding a constant value, c, to a random variable does not change the variance, because the expectation (mean) increases by the same amount. ... Multiplying a random variable by a constant increases the variance by the square of the constant.

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2 years ago

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jeka57 [31]

Answer:

Step-by-step explanation:

(8388608+4)3 - (144)

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5.9029665478404E+20-144=5.90296655E20

5 0

1 year ago